Research activities of Faculty during 2009-2012

DEPARTMENT OF MATHEMATICS

VTU approved Research Centre

Research activities of Faculty during 2009-2012

Research Areas

Fluid Mechanics, Magneto hydrodynamics, Bio convection, Mathematical modelling,

Number theory, Graph theory and Finite element methods.

Details of Work

(a) Free convection problems in variable-viscosity viscoelastic liquids under

terrestrial or microgravity conditions.

Jayalatha G.* and G. N. Sekhar, [*Department of Mathematics, R.V. College of

Engineering, Bangalore]

Some linear and nonlinear convective instability problems have been addressed in

viscoelastic liquids arising due to buoyancy and/or surface tension. The assumption of

temperature-dependence of viscosity renders the problems intractable by analytical methods.

The Galerkin variant of the weighted residual technique is used in studying the problems

reported in the research work. The algorithms designed for the various problems were

implemented in Mathematica.

The four viscoelastic liquids considered for investigation are Rivlin-Ericksen liquid,

Walters B liquid, Maxwell liquid and Jeffrey liquid. The onset of convection in viscoelastic

liquids with variable viscosity and the individual influences of magnetic field, rotation,

temperature-dependent heat source and space-dependent gravity are examined. The Nield

model is used in these problems for the viscosity-temperature relationship. Also the effect of

vertical oscillations of the system (g-jitter or gravity modulation or time-periodic body

acceleration) on the onset of convection as well as heat transfer in constant viscosity

viscoelastic liquids is studied. Three situations considered in this study include: Buoyancy

induced convection in a terrestrial condition[Rayleigh-Bénard convection-RBC], wherein

surface tension effect is negligible; temperature-dependent surface tension induced

convection in a microgravity situation[Bénard-Marangoni convection-BMC] wherein

buoyancy effect is negligible and finally, the situation where buoyancy and surface tension

effects are of same order and compete with each other in inducing convection[Rayleigh-

Bénard-Marangoni convection-RBMC].

Analysis of the results of the study against the results of constant viscosity viscoelastic

and Newtonian liquids revealed

i) The effect of variable viscosity parameter is shown to destabilize the system;

ii) The stabilizing nature of strain retardation parameter and destabilizing nature of stress

relaxation parameter, on the onset of convection is revealed in the study;

iii) The Maxwell liquids are found to be more unstable than the one subscribing to

Jeffrey’s description whereas the Rivlin-Ericksen and Walters B liquid are

comparatively more stable;

iv) The magnetic field is found to have a stabilizing influence;

v) Rotation has a destabilizing/stabilizing influence on the over stable mode of

convection depending on the magnitude of rotation;

vi) Heat source and heat sink align themselves with stress relaxation and strain

retardation parameters respectively in influencing the onset of convection;

vii) The effect of variable gravity is to accelerate/decelerate the onset of convection

depending on the sign of the variable gravity parameter;

viii) The effect of gravity modulation is to stabilize the system there by leading to a

situation of reduced heat transfer and finally,

ix) A transformation of the momentum equations to obtain the Lorenz model illustrates

the equivalence of present approach and the one due to Khayat that uses normal

stresses explicitly. The Khayat-Lorenz model as obtained in the work is more elegant

than the classical one.

Smt. Jayalatha G received Ph.D. degree from VTU during 2010.

(b) Super linear stretching sheet problems.

Chethan A. S.* and G. N. Sekhar [*Department of Mathematics, B. M. S. Institute

of Technology, Bangalore]

Stretching sheet problems usually arise in several industrial and engineering applications

like metal working process in metallurgy, drawing of plastic films, materials manufactured

by extrusion, glass-fiber and paper production etc. During the process of stretching, the

boundary may be stretched in such a way that the boundary gets general super-linear velocity

along the flow direction. In the strictest sense the stretching has to be nonlinearly

proportional to the axial distance. Some linear and super-linear (nonlinear) stretching sheet

problems in the presence of Newtonian/non-Newtonian cooling liquids are addressed under

different circumstances. These problems are handled analytically/numerically depending on

their complexity. Numerical solutions are obtained by the shooting method with the

assistance from the classical explicit Runge-Kutta-Fehlberg 45 method. Five situations

considered include:

i) The flow and heat transfer due to a quadratic stretching sheet problem involving

Walters B liquid with prescribed surface temperature (PST) and wall heat flux

(WHF), while considering heat transfer. The effects of various parameters on velocity

and temperature profiles are investigated;

ii) The flow and heat transfer due to an exponential stretching sheet in a viscoelastic

liquid with Navier slip boundary condition is studied. Two cases, the sheet with

prescribed exponential order surface temperature (PEST-case) and the sheet with

prescribed exponential order heat flux (PEHF-case) are studied. The governing

coupled, non-linear, partial differential equations are converted into coupled, non-

linear, ordinary differential equations by a similarity transformation and are solved

numerically using shooting method. The effects of various parameters such as the

viscoelastic parameter, slip coefficient, Eckert number and Prandtl number on

velocity and temperature profiles are investigated.

iii) MHD flow and heat transfer in a couple stress fluids over a stretching sheet. The

velocity of the sheet is taken as a quadratic polynomial of the distance from the sheet.

Analytical expression is obtained for velocity components as a function of the couple

stress parameter and stretching related parameters. The heat transfer characteristic of

a Boussinesq-Stokes suspension over a continuous stretching surface with internal

heat generation/absorption is analysed;

iv) The flow and heat transfer due to an exponential stretching sheet in a Boussinesq-

Stokes suspension. The effects of various parameters such as the couple stress

parameter, Reynolds number and Prandtl number on velocity and temperature profiles

have been studied and finally;

v) The classical Crane problem of the stretching sheet is extended to include temperature

sensitivity of weakly electrically conducting Newtonian liquids. The thermo-

rheological equation of state subscribed to in the problem involves an inverse

relationship between dynamic viscosity and temperature.

Sri. Chethan A. S. received Ph.D. degree from VTU during 2012.

(c) Convection in variable viscosity ferromagnetic liquids.

Prakash R.* and G. N. Sekhar [*Department of Mathematics, R.V. College of


The problems that are representative of many non-isothermal application situations

involving ferromagnetic liquids as a working medium will be studied. Regulation of

convection is important in many of the application situations. Non-uniform basic temperature

gradients / temperature modulation / gravity modulation and external constraints are some of

the mechanisms by which this can be achieved. The ferromagnetic liquids are known to be

temperature and magnetic field sensitive and hence it is proposed to consider these factors

while studying the convection problems.

Accordingly, it is proposed to study the effect of variable viscosity on

i) Convection in ferromagnetic liquids under terrestrial or microgravity conditions with

non-uniform basic temperature gradients.

ii) Convection in rotating ferromagnetic liquids under terrestrial or microgravity

conditions;

iii) The effect of variable viscosity and through flow on Rayleigh-Bénard-Marangoni

convection in ferromagnetic liquids and finally.

iv) The effect of temperature modulation on Rayleigh-Bénard convection in viscoelastic

ferromagnetic liquids.

All these need new modelling to be done to incorporate variable viscosity effects in the

conservation laws, which give rise to second order quasilinear partial differential equations

with variable coefficients. Resulting equations will be solved using a numerical procedure

based on the variational approach of Rayleigh-Ritz method.

(d) Nonlinear electroconvection in the presence of magnetic field and

electric field.

Deepa K. Nair* and P. Geethavani [*Department of Mathematics, K. N. S. Institute

of Technology, Bangalore]

In recent years there has been a considerable interest in the study of strong materials like

smart materials, Nano materials, shape memory alloys and so on. The poorly conducting

alloys like Ni, Ti, Aluminium oxide and so on are solidified by cooling from below and

heating from above. The electrical conductivity in these poorly conducting alloys is a strong

function of temperature or concentration of species or combined temperature and

concentration. The variation of conductivity with temperature or concentration releases

electric charges, which in turn produces an electric field known as ‘thermal’ or

‘concentration’ electric field. In addition, there may be an electric field due to embedded

electrodes. The total electric field produces a current, which acts as sensing and this electric

field produces a force known as actuation. These two phenomena known as ‘sensing’ and

‘actuation’ are the basic requirements for a material to be a smart material. In addition, force

also produces the convection in a poorly conducting fluid known as ‘Electroconvection’.

This convection produces a mushy layer consisting of dendrites and in the mushy layer of

solid fluid mixture; the solid particles are combined as Nano crystals. This mushy layer

produced by Electroconvection is regarded as impurity in the manufacture of strong materials

mentioned above, these strong material are of immense use in Space applications,

Automobile Engineering, Structural Engineering, Bio-Medical Engineering which requires

reduction of weight, vibration and maximum performance. In view of this it is proposed to

investigate nonlinear Electroconvection by considering external constraints using analytical

and numerical techniques.

(e) An implicit scheme for incompressible viscous fluids.

T. Kavitha* and S. Jayanthi [*Department of Mathematics, R.V. College of


General physical systems, particularly those involving fluid flow are described in terms of

mathematical models that include convective and diffusive transport of some variables.

These models consist of governing equations in the form of ordinary or partial differential

equations. Once the governing PDEs are obtained, we seek the help of numerical methods to

get results of desired accuracy. Various CFD tools and implicit difference schemes will be

carried out aiming at:

i) Development of an implicit finite difference scheme for the 2D steady-state

convection-diffusion problem on non-uniform grids;

ii) Analysis of the diffusive and anti-diffusive natures of the schemes along with stability

analysis;

iii) Application of the numerical scheme to a heat-mass transfer problem in a vertical

porous annulus and

iv) Application of the scheme for incompressible flows over complex geometries.

(f) A study on laminar compressible boundary layer problems.

M. Revathy* and S. Jayanthi [*Department of Mathematics, Shirdi Sai Engineering

College, Bangalore]

The phenomena which occur in the boundary layer of a compressible flow have become

the subject of intensive investigations with impetus being provided by the rapid increase in

the speed of flights of modern aircrafts. In the beginning, the boundary layer concept was

mainly developed to the case of an incompressible fluid, for, phenomenological hypothesis of

shear existed already in the form of Stokes law. This topic has subsequently been developed

due to its applications in high-speed flights and has reached a stage in which the

compressible flow can be considered and solved from its main outline. The physical ideas

measuring the compressible boundary layers can readily become parasite from that of the

incompressible theory. In addition to the velocity boundary layer, the existence of the

compressibility plays an important role over density and viscosity. Consequently, the

phenomena under consideration become naturally complicated. Nevertheless, in recent years

the compressible boundary layers can easily be calculated with the aid of effective numerical

algorithms and modern computers.

In contrast to the incompressible fluid flows, there is another important feature in the

compressible boundary layers, i.e., the interaction between the boundary layers and the

external flow fields. Due to this phenomenon, the usual procedure of solving the boundary-

layer problem (i.e. solving the inviscid flow first and using its value at the boundary as the

boundary condition at the edge of the boundary layer) may not be valid.

Considering the above mentioned facts, studies of the non-similar behaviour of the

compressible boundary-layer flows over different geometries are taken up for this study. The

effect of large surface mass transfer(injection and suction) on a boundary-layer flow with its

second-order boundary-layer effects arising due to the curvature of the body, boundary-layer

displacements, vortices interaction, velocity slip and temperature jump will be investigated

involving new modelling. Boundary-layer approximations will be applied to the above

problems and will be solved using efficient numerical schemes. During this study, it is

proposed to look into:

i) Effect of massive blowing on the compressible laminar boundary-layer over a general

three dimensional stagnation point of a body for nodal and saddle point flows;

ii) Effect of large surface mass transfer (injection and suction) on three dimensional

compressible stagnation point boundary-layer flow with second order effects;

iii) Three dimensional stagnation point boundary-layer flows with first and second order

effects and large mass transfer and

iv) Non-similar behaviour of compressible boundary-layer flow on various geometries

like a yawed cylinder, vertical plate.

(g) Magneto-Oberbeck convection in a rectangular enclosure.

Veena Jawali

The Magneto-Oberbeck convection in an electrically conducting fluid in a tilted rectangular

cavity is studied in the presence of an external constraint of magnetic field. The influence of

the angle of inclination φ varying from 0º to 180º for different values of Rayleigh number Ra

and Chandrasekhar number Q, on velocity and temperature distribution is determined. From

these the amount of heat transfer expressed in term of the Nusselt number is computed and

found that the Nusselt number increases with increasing angle of inclination, passes through

a peak and then begins to decrease. The effect of inclination on the Nusselt number is

more pronounced as the Rayleigh number is increased. The peak of the Nusselt number

occurs at an angle of lower inclination with increase in Ra and decrease in Q. As expected, at

all angles, the steady state of Nusselt number approaches the conduction value for large

values of Chandrasekhar number Q.

(h) Studies on Brahmagupta Polynomials and Continued Fractions with

some Interconnections.

Rangaswamy

The thesis is built on matrix forms the “Brahmagupta Identity” which is also known as

“samasabhavana” described very well in the book written by A. Weil. Purely Periodic

simple continued fractions, continued fraction of functions related to orthogonal polynomials,

binary linear recurrences interconnecting Brahmagupta polynomials and continued fractions,

Fibonacci and Lucas numbers, Catalan numbers, the Brahmagupta polynomials extended by

generalized golden ratio, series summation involving reciprocals of polynomials, the

Brahmagupta polynomials in two real variables and their extension using the idea of

generalized golden ratio are studied. Their further extension to two complex variables are

briefly discussed. The continued fraction is convergent to an analytic function in the cut

plane. The study of orthogonal polynomials defined by J-fractions and related Brahmagupta

polynomials establish strong interconnection between Brahmagupta polynomials and

continued fractions.

(i) Finite Amplitude instability of Time-Dependent flows under the

influence of External Constraints.

T. N. Vishalakshi

This thesis embodies the analytical investigation of linear and non-linear time-dependent

convection phenomenon under three types of external constraints with three types of

modulation conditions. The solutions are obtained by the extended Stuart-Davis technique

which can take into account the general basic state with time variation. The full nonlinear

partial differential equations that govern the problem are reduced to ordinary intergo-

differential equations and the evolution of the amplitude equation is discussed in detail. In

fact, in the available literature, there is no other analytical method which is as elegant,

powerful and effective as this method. The analysis is carried out for the case of infinite

Prandtl number, so that the complexities will be reduced to a certain extent and a closed form

solution could be obtained effectively. The analysis is carried up to the fourth-order of

approximation and the results pertaining to the flow field, concentration field, magnetic field

and growth rate are computed for a wide range of the governing parameters.

The three types of constraints considered include

(i) Uniform magnetic field,

(ii) Opposing gradients of temperature and salt and

(iii) A phase change in the system in the presence and absence of the rotational

constraint.

The three types of modulator conditions employed are

(i) Unmodulated situation,

(ii) Monotonic case and

(iii) Impulsive type (oscillatory type).

Suitable boundary and initial conditions are considered. The results are presented through

a number of graphs in order to facilitate better understanding of the several qualitative and

quantitative aspects of the problem. The results are in excellent agreement with the available

theoretical results in the limiting cases. Efforts are made to give the physical interpretations

of the results which are of great practical importance.

(j) Studies on cubic splines with application to numerical integration.

H. Y. Shrivalli

Spline functions play a vital role in the research and development endeavours of scientists

and engineers. They constitute the main tool in computer aided geometric design (CAGD)

which is concerned with the approximation and representation of curves and surfaces that

arises when these objects have to be processed by a computer. The design of curves and

surfaces plays an important role not only in the construction of different products as car

bodies, ship hulls, airplane fuselages and wings, propellers blades etc., but also in the

description of geological, physical and even medical phenomena. New areas of CAGD

applications include computer vision and inspection of manufactured parts, medical research

(software for digital diagnostic equipment), image analysis, high resolution TV systems,

cartography, the film industry, computer animation etc.

A spline function is a function that consists of polynomial pieces joined together with

certain smoothness conditions. We may note that, in spline theory, knots are defined as the

points where the spline function is permitted to change in form from one polynomial to

another. The nodes are the points where values of the spline are specified. The first and

second degree splines, though useful in certain applications, suffer an obvious imperfection:

Their lower order derivatives are discontinuous. In case of the first degree spline (or

polygonal line) this lack of smoothness is immediately evident because the slope of the spline

may change abruptly from one value to another at each knot. For the quadratic spline, the

discontinuity is in the second derivative and therefore the lack of smoothness is not so

evident. But the curvature of the quadratic spline changes abruptly at each knot, and the

curve may not be pleasing to the eye. To achieve more smoothness (and greater accuracy)

from the interpolating function, higher degree polynomial pieces must be used. The most

common choice is cubic polynomials. These cubic polynomial pieces can be combined in

different ways to produce the overall interpolating function. The development of cubic

splines as natural splines, clamped splines, not a knot spline is well known. Cubic spline

evaluation is possible only if the boundary end conditions are specified. When no

information other than the function values at each interpolating point is available, the natural

cubic spline and the not a knot cubic spline could be used. If the first derivatives are finite

and known at the end points, then it is also well known that clamped spline can be used.

When no information other than the function values at each interpolating point is available, it

is recommended that not a knot spline be applied.

Thus, we have to choose between the natural spline and not a knot spline. So a new cubic

spline which can be applied when the function values are available at the end points of the

spline is obtained. That is, we have another choice in the new cubic spline besides the natural

spline and the not a knot spline when no information other than functional values at each

interpolating point is available. Hence, we apply polynomial spline functions to obtain

function approximations, integral function approximations, integration of functions along

space curves and multiple integrals of functions over curved domains in two-dimensional

Cartesian spaces. This has been reported in the doctoral thesis entitled “Some Studies on

Cubic Splines with application to Numerical Integration”. The research was carried out

under the guidance of Dr. H. T. Rathod, Department of Mathematics, Central College,

Bangalore University, Bangalore.

(k) Electrothermo convective instabilities in the presence of time dependent

forces.

Gayathri M. S.

Time dependent forces acting on a fluid saturated porous layer can strongly affect

instability thresholds and provide an effective way to control convection in various

engineering applications. A study to understand the effects of modulated electric field,

modulated thermal field, Coriolis force and porous layer on convective instability was carried

out at UGC Centre for Advance Studies under the guidance Dr. M. Venkatachalappa,

Department of Mathematics, Bangalore University, Bangalore. These physical problems

involving fluid flow were described in terms of mathematical models having basic governing

equations of motion in the form of partial differential equations. These equations were solved

using Regular Perturbation method with small amplitude approximation.

Such a study is useful in the manufacturing of artificial organs using dielectric materials

and hence it is proposed to investigate the effects of magnetic field on convective

instabilities.

(l) Hamiltonian laceable graphs.

P. Gomathi, R. Murali* (*Department of Mathematics, Dr. Ambedkar Institute of

Technology, Bangalore)

The applicability of Graph theory to a wide range of areas both within and outside

Mathematics has given added stature to this youthful subject. It is a branch of Mathematics

which has applications in many areas: anthropology, architecture, biology, chemistry,

computer science, economics, environmental conservation, psychology and

telecommunications, electrical and civil engineering, operational research, genetics,

sociology and linguistics. It is also intimately related to many branches of Mathematics

including group theory, matrix theory, numerical analysis, probability, topology, and

combinatorics.

Graph theory and computer science are strongly connected. Computers allow us to solve

very large problems concerning graphs, while on the other hand, graph theory helps advance

computer science. Without Graph theory it would not have been possible to design modern

computer chips, computer networks or even large computer programs. Finding a way, to

represent the solution to a problem as a graph, presents new approach in solving the problem

or even leads directly to a solution. Graph theorists have found that many of their problems

can be solved by the use of computing techniques conveniently be expressed in the language

of graph theory and that standard results in graph theory are often very relevant to the

solution of problems concerning them.

Hence I have chosen to work on certain problems of graph theory for my doctoral

research to be presented as a thesis entitled “Some contributions to the theory of

Hamiltonian laceable graphs and applications to computer networks”.

My work will focus on the Hamiltonian Laceability properties in brick products in

particular and graph structures in general. We also intend to specify algorithms for the

Hamiltonian Laceability of such brick products. The Laceability of graphs with an arbitrary

distance set is still an open problem. Our work will also look into these properties and the

algorithms therein.

(m) Problems on heat and mass transfer.

Anthony Christy Melson

The regulation of convection in Newtonian and non-Newtonian liquids is important. Non-

uniform basic temperature gradients, temperature modulation, gravity modulation and

external constraints are some of the mechanisms by which this can be achieved.

The effects of temperature-dependent viscosity, gravity modulation and thermo-

mechanical anisotropies on heat transport in a low-porosity medium were studied using the

Ginzburg–Landau model. The effect of gravity modulation is to decrease the Nusselt number,

Nu and variable viscosity leads to increase in Nu. The thermo-mechanical anisotropies have

opposite effect on Nu with thermal anisotropy decreasing the heat transport. This result has

been reported already. [DOI: 10.1007/s11242-011-9901-z].

The above study was carried out under the UGC major research project entitled

“Analytical and Numerical Study of Ginzburg-Landau model arising in Porous Media

Convection”, at the Department of Mathematics, Maharani’s Science College for Women,

Bangalore.

The current area of interest includes convection in ferromagnetic liquids. The

ferromagnetic liquids are known to be temperature and magnetic field sensitive. Most of the

reported works are on Rayleigh- Bénard convection. In most of the problems concerning

ferromagnetic liquids, the above regulating mechanisms have not been considered together.

Very few reported works are available on convection in ferromagnetic liquids dealing with

the effect of surface tension. Hence it is intended to study the oscillatory convection in

ferromagnetic liquids with constraints on gravity, temperature, elasticity, viscosity, magnetic

field etc. This results in Rayleigh-Bénard, Bénard-Marangoni and Rayleigh-Bénard-

Marangoni convection problems involving system of second order quasi-linear partial

differential equations. This calls for the use of numerical methods for obtaining the eigen

value. Accordingly, numerical procedure based on the variational approach of Rayleigh-Ritz

method or shooting method has to be inevitably resorted to. The emphasis here is on the use

of FOSS (Free and Open Source Software) tools like Maxima, Python or Scilab for

computation and graphing.

(n) Electro-hydrodynamic Surface Instabilities.

Chandra Shekara G., and N. Rudraiah* [*UGC-CAS in Fluid Mechanics,

Department of Mathematics, Bangalore University, Bangalore]

The objective of this study is to understand the effect of electric field, magnetic field, laser

radiation, couple stress and porous layer on the growth rate of surface instabilities, like

Rayleigh-Taylor instability (RTI), Kelvin-Helmholtz instability (KHI) and Richtmyer-

Meshkov instability at the interface between a porous layer and thin shell with poorly

conducting fluid using the normal mode technique. Such a study is useful in the design of

Inertial Fusion target for production of Inertial Fusion Energy. A reduction in the growth rate

of instability has been observed in the presence of above said quantities. Further, the study is

focused on understanding:

i) Effects of Couple Stress on the Growth Rate of Rayleigh-Taylor Instability at the

Interface in a Finite Thickness Couple Stress Fluid;

ii) Kelvin-Helmholtz Instability at an Interface between Couple Stress Fluid and Fluid

Saturated Porous Layer of Large Extent;

iii) Electrorheological Kelvin-Helmholtz instability at the interface between a

nanostructured porous layer and thin shell with poorly conducting couple stress fluid;

iv) Electrohydrodynamic Kelvin-Helmholtz instability at the interface between a nano-

structured porous layer and thin shell with poorly conducting fluid;

v) Effect of oblique electric field on the growth rate of Electrohydrodynamic Kelvin-

Helmholtz instability and

vi) Laser driven ablative surface instability of the type Richtmyer-Meshkov Instability

(RMI). For this purpose, multi-scale numerical simulation of Richtmyer-Meshkov

instability under the effect of impulsive shock will be used.

(o) Study of falling plumes under different constraints.

Radha D. and P. K. Srimani* [*Director, Research centre, Dayanand Sagar College

of Engineering, Bangalore]

Bioconvection arises whenever cells have a density greater than the fluid in which they are

suspended. They swim upward and accumulate in a layer or region at some distance from the

bottom of the solution. Instabilities arise spontaneously in such heavily populated regions

and result in sinking columns of fluid that carry the cells to the bottom where the fluid is less

dense. Further, the cells liberated at the base of sinking plume are free to swim towards the

top again and recycle into sinking columns and the fluid also travels upwards once sinking

plumes become established as a result of the conservation of mass. Thus, the net result is a

continuously circulating system driven by cell swimming and fluid motion and the cells

caught in the fluid flows are transported by these flows. This clearly explains the mechanism

of plume convection and the phenomenon is similar to that of Rayleigh – Bénard convection

in which the convection flows are driven by the adverse temperature gradient. Falling plumes

under different types of constraints like rotation, magnetic field, gravity inclination &

thermal effects are considered. In practical situations, it is of great interest to suppress or

enhance bioconvection which can be achieved by a proper choice of the permeability

parameter.

The modelling is done for the quasi- steady situation in which the upper boundary layer

containing a concentration of bacteria feeds a falling plume of cell - rich fluid. The

suspension is divided into three separate regions viz., a cell - rich upper boundary layer of

known thickness λ, a falling plume of unknown width ε ,which also contains a high

concentration of bacteria and the fluid outside the plume which has to circulate in order to

conserve mass. The problem is considered in three dimensions, where we will assume that

the plume is axisymmetric. The analysis covers only the upper part of the chamber in which

the oxygen concentration is above zero and ignores the mixing and resuscitation that take

place in the lower zone. Axisymmetric equations are constructed and similarity solutions are

determined by applying effective similarity transformations. The influences of several

constraints on the profiles under consideration are studied in detail.

Publications in Journals :

1. P.K. Srimani and Mrs. Radha D., Non – Linear Chemotactic Hydromagnetic

Bioconvection, International Journal of Engineering Research & Technology -(IJERT),

Online: January- 2013 ISSN: 2278-0181 Vol. 2 Issue 1.

2. P.K. Srimani and Mrs. Radha D., The Effect of Gravity Inclination on Hydromagnetic

Non-Linear Chemotactic Bioconvection, International Journal of Applied Mathematics &

Statistical Sciences (IJAMSS), August 2013 ISSN 2319-3972 Vol. 2, Issue 4, Sep 2013,

27-36.

3. P. K, Srimani and Radha, D., A Mathematical Model to Study the Effect of Gravity

Modulation on Bioconvection, National Women’s Science Congress held at Bijapur on 7th-

9th Nov.

4. H. T. Rathod, H. Y. Shrivalli and Arunkumar Gali, "on cubic splines with Applications to

integration along a space curve" International e journal of Engineering Mathematics:

Theory and Application, Sept. 2013, ISSN 1687-6156 Vol(15), PP.1-23.

5. Deepa K Nair and Dr. Geetha Vani, Effect of DC electric field on thermal convective

instability in an Oldroyd-B fluid saturated porous media, Indian Journal of Science and

Technology, Vol.-6 Issue:253 March 2013 ISSN:0974-6846.

6. Prakash Parasivamurthy and Dr. Veena Jawali, Study of self-compacting fly ash concrete

using Silica fume admixture, Advanced Material Research, Vol.409, pp.249-254. 2012.

7. G. N. Shekar and A.S. Chethan, Flow and Heat Transfer of an Exponential Stretching sheet

in a Boussinesq-Stokes Suspension, International Journal of Mathematical Archive-3(5),

pp1978-1984 Online: 2012 ISSN2229-5046, May-2012.

8. Deepa K Nair and Dr. Geetha Vani, Electrothermalconvection in a rotating dielectric fulid

layer: Effect of non uniform temperature gradients, World Journal of Engineering,

Supplement3 Dec.2012.

9. P. G., Siddheshwar, R. K. Vanishree and Anthony Christy Melson, Study of Heat Transport

in Bénard-Darcy Convection with g-Jitter and Thermo-Mechanical Anisotropy in Variable

Viscosity Liquids, Transport in Porous Media, 92, 277–288, 2012, ISSN: 0169-3913 (print

version), 1573-1634 (electronic version).

10. Dr. G. N. Sekhar, K.R. Radhika, & M.K. Venkatesha,Signature authentication based on sub

pattern analysis, Applied Soft Computing-Elsevier, Volume 11, Issue 3, April 2011, Pages

3218-3228, (Impact Factor 2.415).

11. P. G. Siddheshwar, G. N. Sekhar and G. Jayalatha, Surface tension driven convection in

viscoelastic liquids with thermo-rheological effect. International Communications in Heat

and Mass Transfer, 38, 468-473, 2011, ISSN: 0735-1933.

12. G. N. Shekar and A.S. Chethan, Flow and heat transfer of a Quadratic stretching sheet in a

Boussinesq-Stokes suspension”, International Journal of Applied Mechanics Engineering,

Vol.16,No.4, pp.1109-1128, 2011.

13. H. T. Rathod, H. Y. Shrivalli and C. S. Nagabhushan, On cubic splines with applications to

quadrature over curved domains, International e-Journal of Numerical Analysis and

Related Topics, 6, 147-190, 2011, ISSN:1687-787X.

14. H. T. Rathod, H. Y. Shrivalli and C. S. Nagabhushan, Symbolic computation of high order

Guass-Lobatto quadrature formulas with variable precision arithmetic, International e-

Journal of Numerical Analysis and related Topics, 6, 52-85, 2011, ISSN:1687-787X.

15. Chandrasekhara, G. and N. Rudraiah, Electrorheological Kelvin-Helmholtz instability at

the interface between a Nano-structured porous layer and thin shell with poorly conducting

couple-stress fluid, Fusion Science and Technology, 60(1t), 56-63, 2011.

16. N. Rudraiah, Milan Kalal and Chandrashekara G., Electrorheological Rayleigh-Taylor

instability at the interface between a porous layer and thin shell with poorly conducting

couple stress fluid, International Journal of Nonlinear Mechanics, 46, 57-64, 2011, ISSN:

0020-7462.

17. G. N. Shekar and A.S. Chethan, Heat transfer in a stretching sheet problem in electrically

conducting Newtonian liquids with temperature –dependent viscosity, Proceedings of the

ASME2010-IMECE2010, 12-18 November 2010, Vancouver, British Columbia, Canada.

18. Dr. G. N. Sekhar, K.R. Radhika, S.V. Sheela & M.K. Venkatesha, Signature and iris

authentication based on derived kinematic values, International Journal of Pattern

Recognition and Artificial Intelligence - World Scientific Journals, Vol. 24, No. 08, Pages

1237-1260,. Impact factor-0.512, Feb.2010.

19. Dr. G. N. Sekhar, K.R. Radhika, S.V. Sheela & M.K. Venkatesha, Off-line Signature

authentication using radial basis function”, International Journal of Pattern Recognition

and Artificial Intelligence - World Scientific Journals, Vol. 25, No. 02, Pages 207-225,

2011. Impact factor-0.512.

20. P. G. Siddheshwar, G. N. Sekhar and G. Jayalatha, Effect of time-periodic vertical

oscillations of the Rayleigh-Bénard system on nonlinear convection in viscoelastic liquids,

Journal of Non-Newtonian Fluid Mechanics, 165 (19-20), 1412-1418, 2010, ISSN: 0377-

0257.

21. Dr. G. N. Sekhar, K.R. Radhika, & M.K. Venkatesha, An Approach for On-line Signature

Authentication using Zernike Moment, Pattern Recognition Letters-Elsevier, Volume 32,

Issue 5, April 2011, Pages 749-760. Impact factor-1.303.

22. Dr. G. N. Sekhar , Off-line Signature Authentication based on Moment Invariants using

Support Vector Machine”, Journal of Computer Science, ISSN 1549-3636, vol. 6, pp. 305-

311, 2010.

23. Dr. G. N. Sekhar, K.R. Radhika, & M.K. Venkatesha, Signature Authentication Using k-

Nearest Neighbor Classifier”, International Journal of Computer Science, Vol. 4, No.2,

Pages 186-198, 2010. ISSN 1992-6669(Print), ISSN 1992-6677 (Online).

24. Dr. G. N. Sekhar, K.R. Radhika, & M.K. Venkatesha, A Novel Approach for

Authentication of On-line Handwritten Signature based on Residuals, Poles and Zeros,

International Journal of Pattern Recognition and Artificial Intelligence - World Scientific

Journals, vol. 25, No. 1, pages 57-81, 2011, Impact factor-0.512.

25. G. N. Sekhar and G. Jayalatha, Elastic effects on Rayleigh-Bénard convection in liquids

with temperature-dependent viscosity, International Journal of Thermal Sciences, 49, 67-

75, 2010, ISSN: 1290-0729.

26. H. T. Rathod, H. Y. Shrivalli and C. S. Nagabhushan, On a new cubic spline interpolation.

International e-Journal of Numerical Analysis and Related Topics, 4, 1-18, 2010, ISSN:

1687-787X.

27. H.T. Rathod, H.Y. Shrivalli, K.V. Nagaraja and Keshavulu Naidu, On a New Cubic Spline

Interpolation with Application to Quadrature, International Journal of Mathematical

Analysis, 4(25-28), 1387-1415, 2010, ISSN: 1312-8876.

28. N. Rudraiah and Chandrashekara G., Kelvin-Helmholtz Instability at an Interface between

Couple Stress Fluid and Fluid Saturated Porous Layer of Large Extent, International

Journal of Applied Mathematics, 1(1), 67-78, 2010, ISSN: 1311-1728.

29. N. Rudraiah and Chandrashekara G., Effects of Couple Stress on the Growth Rate of

Rayleigh-Taylor Instability at the Interface in a Finite Thickness Couple Stress Fluid,

Journal of Applied Fluid Mechanics, 3(1), 83-89, 2010, ISSN: 1735-3572.

30. G. N. Sekhar, Gowrishankar and P.S.Satyanarayana, Analytic Performability Model of

Vertical Handoff in Wireless Networks, Journal of Computer Science 5 (6):445-450, 2009.

31. Dr. G. N. Sekhar, K.R. Radhika, & M.K. Venkatesha, Trajectory Generation Methods”,

International Journal of Recent Trends in Engineering, Vol.1, No.2, pp.258-260, 2009.

32. Gayathri M. S. and N. Rudraiah, Effect of thermal modulation on the onset of electro

thermo convection in a dielectric fluid saturated porous medium, ASME Journal of Heat

Transfer, 131(10), 101009.1-101009.7, October 2009, ISSN: 0022-1481.

Conference Proceedings:

International:

1. Dr. G. N. Sekhar, “Thermo rheological and magneto rheological effects on thermal

convection in ferromagnetic liquids with heat source” in 57th International meet of Indian

Society of Theoretical and Applied Mechanics (ISTAM) held at the Defence Institute of

Advanced Technology, Pune 17th -20th December 2012.

2. Chandrashekara G., The degradation and recovery of composite electrical insulators,

Proceedings of 3rd UK Graduate Modelling Camp, Oxford University, UK, 2011.

3. Chandrashekara G., Efficient Silicon Melting, “Proceedings of 80th European Study

Group”, 2011, Cardiff University, Cardiff, UK.

4. G. N. Shekar and A.S. Chethan, Heat transfer in a stretching sheet problem in electrically

conducting Newtonian liquids with temperature –dependent viscosity, Proceedings of the

ASME2010-IMECE2010, 12-18 November 2010, Vancouver, British Columbia, Canada.

5. G. N. Shekar and G. Jayalatha, Elastic effects on Rayleigh-Bénard-Marangoni convection

in liquids with temperature-dependent viscosity, Proceedings of the ASME2009-

IMECE2009, 13-19 November 2009, Lake Buena Vista, Florida, USA.

Workshops/Conferences attended/ presented papers/ etc.

S. Jayanthi

1. Invited talk on “Spectral methods for incompressible fluids” at the National Conference on

“Advances Applied Mathematics” at Bharathiar Univeristy, Coimbatore on March 27,

2012.

2. Workshop on “Linear Algebra and its applications to Engineering” organised by M. S.

Ramaiah Institute of Technology, Bengaluru during January 16-18, 2012.

3. National Symposium on “Computational Fluid Dynamics” at Indian Institute of Science,

Bangalore during August 11 -12, 2010.

4. Workshop on “Introduction to Probability and Statistics for Applications in Engineering”

organized by P. E. S. Institute of Technology, Bengaluru during June 8-11, 2010.

5. Presented a paper on “Kinematics of Fluid Flow” at the National Conference on “Advances

in Applied Mathematics” at Bharathiar University, Coimbatore, on March 30, 2010.

Veena Jawali

1. Presented the paper entitled “Magneto-Oberbeck convection in a rectangular enclosure”

International conference on “Fluid Dynamics and its Applications” at B. N. M. Institute of

Technology, Bangalore, India during July 20 – 22, 2011.

Rangaswamy

1. FDP on “Brain & Cognition: Neuroscience-Signal & Image Analysis” held at BMSCE,

January 07-12,2013.

2. FDP on “Outcome Based Education – The Science of being a Teacher” at BMSCE,

Bangalore, 10th - 15th June 2013

3. FDP on “Analog & Embedded Processing” at BMSCE, Bangalore, 1st - 6th July 2013

4. FDP on “Signal Processing using MATLAB and SIMULINK” at BMSCE, Bangalore 8th -

13th July 2013.

5. Workshop on “Identification of Slow Learners and Performance Enhancement”, TEQIP

TEAM, BMSCE, BANGALORE, 20th Aug.2013.

6. Workshop on “Japanese Management Techniques” at BMSCE, Bangalore 26th - 30th

Aug.2013.

7. FDP on “Project Management” held at BMSCE, August 20-25,2012.

8. Workshop on “Faculty Development Programme in Entrepreneurship Development”

organised by B M S College of Engineering, (M B A Dept. Sponsored by the Department

of Science & Technology, Govt. of India) Bangalore during 19-03-2012 to 30-03-2012.



10. “The National Conference On The Works Of Srinivasa Ramanujan” at University of

Mysore, Manasagangotri, Mysore during July 03, 2010.



12. The Staff Development Programme on “An Interface with the Concept in Linear Algebra”

organized by

P. E. S. Institute of Technology, Bengaluru during June 15 – 26, 2009.

T.N.Vishalakshi



2. Workshop on “Faculty Development Programme in Entrepreneurship Development”

organised by B M S College of Engineering, (M B A Dept. Sponsored by the Department

of Science & Technology, Govt. of India) Bangalore during 19-03-2012 to 30-03-2012.

3. Workshop on “Software Tools Techniques and practices for Engineers & Scientists /

STTPES during 10.06.2011 to 17.06.2011.



Gayathri M. S.


organized by PES Institute of Technology, Bengaluru during June 8-11, 2010.

2. International conference on “Nonlinear Equations and Mathematical Modelling” organized

by B. N. M. Institute of technology, Bangalore during January 20-22, 2010.

3. International conference on “Frontiers in Fluid Mechanics-2009” organized by UGC-

Centre for advanced studies in fluid mechanics, Department of Mathematics, Bangalore

University, Bangalore during August 31-september 2, 2009.


1. Presented the paper entitled “Hybrid differential transform method for solving unsteady

flow through porous media with boundary and inertial effects” at the international

conference on EMERGING TRENDS IN FLUID MECHANICS AND GRAPH THEROY

held during 16th – 18th August, 2012, at Christ University, Bangalore, India.

2. Presented the paper entitled “Bénard-Darcy convection with non-uniform permeability and

thermal conductivity” at the International conference on “Fluid Dynamics And its

Applications” at B. N. M. Institute of Technology, Bangalore, India during July 20 – 22,

2011.

3. Presented the paper entitled “Effect of variable permeability on forced convective heat

transfer in a non-linear, non-Darcy flow with isoflux boundaries” at the International

conference on “Nonlinear Equations And Mathematical Modelling” at B. N. M. Institute of

Technology, Bangalore, India, during January 20 – 22, 2010.

4. Presented the paper entitled “Galerkin Method for good estimates of the given eigen value

in a Bénard-Marangoni convection problem with general boundary conditions on velocity

and temperature” in the ‘54th Congress of Indian Society of Theoretical And Applied

Mechanics - An International meet’ at Netaji Subhas Institute of technology, Delhi, India,

during December 18 – 21, 2009.

Chandrashekara G.

1. 80th European Study Group held at Cardiff University, Cardiff, UK, during April 4 to April

8, 2011.

2. 3rdUK Graduate Modelling Camp held at Oxford University, Oxford, UK during March 29

to April 1, 2011.

3. International Workshop on “Mathematical Modelling and Computer Simulation”,

organized by Department of Mathematics, Indian Institute of Technology, Madras, during

January 03-12, 2011.

4. Presented the paper entitled “Electrorheological Kelvin-Helmholtz instability at the

interface between a nanostructured porous layer and thin shell with poorly conducting

couple stress fluid” at First International Youth Conference on “Fusion Energy” during 09

– 10 October, 2010 and 23rd IAEA Fusion Energy Conference, Daejeon, Republic of

Korea, during 11 – 16 October, 2010.

5. Presented the paper entitled “Electrorheological Rayleigh-Taylor instability at the interface

between a porous layer and thin shell with poorly conducting couple stress fluid” at the

International Conference on “Frontiers in Fluid Mechanics” at UGC-CAS in Fluid

Mechanics, Department of Mathematics, Bangalore University, Bangalore, during August

31-September 2, 2009.

6. Attended “International Conference on Frontiers in Fluid Mechanics” at UGC-CAS in

Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore, during

August 31-September 2, 2009 presented the paper entitled “Electrorheological Rayleigh

Taylor instability at the interface between a porous layer and thin shell with poorly

conducting couple stress fluid”.

Silvia Leera Sequeira.

1. International conference on “EMERGING TRENDS IN FLUID MECHANICS AND

GRAPH THEORY” held during 16th – 18th August, 2012 at Christ University, Bangalore.

2. International Conference on “EMERGING TRENDS IN HIGHER EDUCATION-A

GLOBAL PERSPECTIVE: CONCERNS AND CHALLENGES IN ENVIRONMENTAL

SUSTAINABILITY, ENTREPRENEURSHIP AND CINEMA(ICEEC)”held on 12th -14th

August 2008 at Jyoti Nivas College,Bangalore,India.

Shazia P.A.

1. Attended "Power series solution of the Darcy-Forchheimer-Brinkman equation" at the

international conference on "Emerging trends in Fluid Mechanics and Graph Theory" held

during August 16-18, 2012 at Christ University, Bangalore, India.

2. Attended “Differential Transform Method of Solution for a Magnetohydrodynamic

Jeffrey – Hamel flow” at the international conference on “Fluid Dynamics & its

Applications” held during July 20 – 22 ,2011 at BNMIT , Bangalore , India.Presented the

paper entitled “Bénard-Darcy convection with non-uniform permeability and thermal

conductivity” at the international conference on FLUID DYNAMICS AND ITS

APPLICATIONS held during20th – 22nd July, 2011at BNM Institute of Technology,

Bangalore, India.

Radha D.

1. Presented the paper entitled “Nonlinear Chemotactic Hydromagnetic Bioconvection” at the

International Conference on “Convergence of Science and Engineering” held at Dayananda

Sagar Institutions on April 2010.

2. Presented the paper entitled “MHD Chemotactic Bacterial Bioconvection and Falling

Plumes in Modulated as well as Unmodulated Environments” at the International

Conference on “Nonlinear Equations and Mathematical Modelling” at B. N. M. Institute of

Technology, Bangalore, India, during 20th – 22nd January, 2010.

National

Gayathri M. S.

1. Four days training programme on MATLAB Fundamental and SIMULINK Modelling and

Algorithm Development” BMSCE, Bangalore during 19-20 and 30th September and 1st

October, 2013.

2. Faculty Development Program on “Latex and Exel for Research – Hands on sessions”

organized by the Dept. of Medical Electronics, BMSCE, Bangalore during October 02-07,

2013.

3. Faculty Development Program on “Biostatistics-Hands-on with SPSS and R Tools”

organized by the Dept. of Medical Electronics, BMSCE, Bangalore during September 08-

12, 2013.

4. A workshop on “ Japanese Management Techniques” organized by the Dept. of Industrial

Engineering and Management, BMSCE, Bangalore during August 26-30,2013.

5. Faculty Development Program on “Biostatistics-Statistical Analysis through Software

Tools” organized by the Dept. of Bio-Technology, BMSCE, Bangalore during February

11-16, 2013.

6. Faculty Development Program on “Advances in Numerical and Statistical Techniques for

Engineers (ANSTE)” organized by Department of Mathematics, National Institute of

Technology, Calicut during May 30-June 3, 2011.

7. A workshop on “Introduction to Probability and Statistics for Applications in Engineering”

organized by PES Institute of Technology, Bengaluru during June 8-11, 2010.

8. Short term course on “Biomedical System and Control” organized by the department of

Medical Electronics, BMSCE, Bangalore during March 25-31, 2009.

9. Short term course on “Instructional design and delivery system” organized by the

department of Instrumentation, BMSCE, Bangalore during February 16-21, 2009.

P. Gomathi

1. Workshop on “Biostatistics – Hands-on with SPSS and R Tools” held during 08th – 12th

June 2013 at B. M. S. College of Engineering, Bangalore, India.

2. Workshop on “Latex and Excel for Research – Hands on sessions” held during 02nd – 07th

August 2013 at B. M. S. College of Engineering, Bangalore, India.

3. Workshop on “Biostatistics-Statistical Analysis through Software Tools” held during 11th –

16th February 2013 at B. M. S. College of Engineering, Bangalore, India.

4. Presented the paper entitled “Almost Hamiltonian Graphs National Seminar on Graph

Theory and its applications” at St. Aloysius College, Mangalore held during 3rd – 5th

January 2013.

5. Faculty Development Program on “Advances in Numerical and Statistical Techniques for

Engineers (ANSTE)” organized by Department of Mathematics, National Institute of

Technology, Calicut during May 30-June 3, 2011.

6. Workshop on “ Introduction to probability and statistics for applications in Engineering ”

held during 08th – 11th June 2010 at PES Institute of technology, Bangalore, India.

7. Workshop on “Teaching Learning Methods” held during 02nd – 07th August 2010 at B. M.

S. College of Engineering, Bangalore, India.


1. FDP on “Biostatistics – Hands-on with SPSS and R Tools”, held during 8th – 12th July

2013, organised by the Department of Medical Electronics, B. M. S. College of

Engineering, Bangalore at B. M. S. College of Engineering, Bangalore.

2. FDP on “Latex and Excel for Research – Hands on sessions” held during 2nd – 7th August

2013 organised by the Department of Medical Electronics, B. M. S. College of

Engineering, Bangalore at B. M. S. College of Engineering, Bangalore.

3. Resource person, Hands on session in Scilab for Faculty development program on

“Computational techniques for research” held during 8th – 10th April 2013, at R. V.

College of Engineering, Bangalore, India.

4. Resource person, “Mathematics workshop on Scilab and Maxima” held during 16th and

17th November, 2012 by the Department of Mathematics, The Oxford College of Science,

Bangalore, India.

5. Resource person, “Training in Scilab” as a part of the REFRESHER COURSE during 25th

April – 2nd May 2012, organised by the Department of Mathematics and Statistics in

association with Academic Staff College, Christ University, Bangalore, India.

6. Workshop on “Analytical and Numerical solutions of Non-linear differential equations”

held during March 18–March 19, 2011 at Amrita School of Engineering, Bangalore, India.

7. Presented the paper entitled “Picard’s iterative method of solution for non-linear boundary

value problems with variable coefficients: An illustration” at the 76th Annual Conference

of the Indian Mathematical Society held during December 27 -30, 2010 at S. V. National

Institute of Technology, Surat, India.

8. National workshop on “Scilab Advanced” held during September 27 –October 1, 2010 at

Bhaskaracharya Pratishthana, Pune, India.

9. Workshop on “Scilab” held during September 13–15, 2010 at Rashtreeya Vidyalaya

College of Engineering, Bangalore, India.

10. National workshop cum training programme on “Recent trends in fluid mechanics” held

during July 6-12, 2010 at Banaras Hindu University, Varanasi, India.

11. Workshop on “Python for Scientific Computing” held during April 30- May 1, 2010 at

Sir. M. Visvesvaraya Institute of Technology, Bangalore, India.

Chandrashekara G.

1. Attended and presented the paper entitled “On the Laser driven Ritchmyer- Meshkov

instability at the interface between poorly conducting fluids” in “26th JMS International

Conference” during 02.08.2013 held at Acharya Institute of Graduate Studies, Bangalore

2. Attended TEQIP-II sponsored FDP on “Latex and Excel for Research – Hands on

sessions” held at BMSCE, BANGALORE during 02.08.2013 to 07.08.2013

3. Attended AICTE sponsored FDP on “Linear Algebra and Applications” held at National

Institute of Technology, Calicut during 07.07.2013 to 13.07.2013.

4. Attended TEQIP-II Sponsored FDP on “Biostatistics and Bio-modeling using Software“

held at BMSCE, BANGALORE during 22.07.2013 to 26.07.2013.

5. Attended TEQIP-II sponsored “one week workshop on MAT LAB and Simulation” held

at BMSCE during 01-08-2012 to 07-08-2012.

6. Attended NEN FDP on “Building Technology Ventures” held at Dayananda Sagar

College of Engineering, Bangalore during 08-08-2012 to10-08-2012.

7. Attended “Faculty Orientation Programme” held at BMSCE Bangalore during 23-1-

2012 to 28-1- 2012.

8. The National Workshop on Recent Trends and applications of Fluid Mechanics”,

organized by Department of Mathematics, Banaras Hindu University, Varanasi, during

July 06-12, 2010.

9. National symposium on “Recent Advances in Applied Mathematics” Organized by

Department of Mathematics, Gulbarga University, Gulbarga on February 8, 2010.

10. National Workshop on “Mathematical Model for Bio-fluid Flows and Applications”,

organized by Department of Mathematics, Sri Venkateswara University, Tirupathi,

during January 22, 2010.

Rahul R.

1. TEQUIP-II Sponsored One day Workshop on “Identification of Slow Learners and

Performance Enhancement ” on 20th August, 2013 at B.M.S. College of Engineering,

India.

2. TEQUIP-II Sponsored Quality Improvement program on “Latex and Excel for Research-

Hands on Sessions” held during 2nd -7th August, 2013 at B.M.S. College of Engineering,

India.

3. TEQUIP-II Sponsored Quality Improvement program on “Biostatistics and Bio-

modelling using Software Tools” held during 22nd - 26th July, 2013 at B.M.S. College of

Engineering, India.

4. TEQUIP-II Sponsored Quality Improvement program on “Advanced Linear Algebra and

its Applications to Engineering” held during 17th–20th July, 2013 at M.S.Ramaiah

Institute of Technology, Bangalore, India.

5. MHRD-AICTE Sponsored Faculty Development programme on Workshop on “Linear

Algebra and Applications” held during 7th– 13th July 2013 at National Institute of

Technology, Calicut, India.

6. TEQUIP-II Sponsored Faculty Development program on, “Biostatistics-Statistical

Analysis through Software Tools” during 11th – 16th February 2013, organised by the

Department of Mathematics, at B.M.S. College of Engineering, India.

7. Three Day Workshop on “Linear Algebra and its Applications to Engineering”, held

during 16th and 18th January, 2012 by the Department of Mathematics, M.S.Ramaiah

Institute of Technology, Bangalore, India.

8. Faculty development program on “Teaching Learning Methods” held during 2th – 7th

August 2010, at B.M.S. College of Engineering, India.

9. MHRD Sponsored Workshop on “How to use A-VIEW”, conducted at B.M.S. College of

Engineering, India.

Shazia P.A.

1. TEQIP-II Sponsored One Week Faculty Development Program On Biostatistics and

Biomodeling using Software Tools Hands from 22nd -26th July 2013 , organized by

Department of Biotechnology & Department of Mathematics, BMS College of

Engineering, Bangalore , India.

2. TEQIP-II Sponsored One Week Faculty Development Program On Biostatistics –Hands-

on with SPSS and R Tools” from 8th – 12th July 2013 , organized by Department of

Medical Electronics, BMS College of Engineering, Bangalore , India.

3. TEQIP-II Sponsored “Three Day Faculty Development Programme on PROBABILITY ,

MATHEMATICAL STATISTICS AND ITS APPLICATIONS TO ENGINEERING “

scheduled on 21st to 23rd March ,2013 at M S Ramaiah Institute of Technology ,

Bangalore, India.

4. TEQIP-II Sponsored “One day Workshop On Latex for Research Documentation [With

Hands on] “ On 18th March 2013 Organized By Department of Information Science &

Engineering and Computer Science & Engineering, BMS College of Engineering,

Bangalore

5. TEQIP-II Sponsored “One Week Faculty Development Program On Biostatistics -

Statistical Analysis through software tools” from 11th – 16th February 2013 , organized by

Department of Medical Electronics & Department of Mathematics ,BMS College of

Engineering, Bangalore.

6. One week ISTE approved Short Term Training programme on Project Management

organized by B.M.S. College of Engineering , Bangalore from 20th - 25th August 2012

7. Faculty Orientation Programme at B.M.S. College of Engineering, Bangalore from 23rd

- 28th January 2012.

8. Three Day Workshop on Linear Algebra and its Applications to Engineering 16th – 18th

January , 2012 at M.S. Ramaiah Institute Of Technology , Bangalore, India.

Silvia Leera Sequeira.

1. National conference on GRAPH COLORING AND ITS APPLICATIONS held during 27th

– 28th July, 2013, at Dr. Ambedkar Institute of Technology,Bangalore, India.

2. II National Conference on “EMERGING TRENDS IN FLUID MECHANICS AND

GRAPH THEORY” held during February11-12,2011 at Christ University, Bangalore

3. I National Conference on “EMERGING TRENDS IN FLUID MECHANICS AND GRAPH

THEORY” held during February 25-26, 2010 at Christ University, Bangalore

4. Faculty Development Program on “LATEX AND EXCEL FOR RESEARCH- HANDS ON

SESSIONS” held from 2nd to 7th August, 2013 by the Department of Medical Electronics,

B.M.S. College of Engineering, Bangalore, India,

5. Faculty Development Program on “BIOSTATISTICS AND BIO-MODELING USING

SOFTWARE TOOLS” held from 22nd to 26th July, 2013 by the Department of

Biotechnology and Department of Mathematics, B.M.S. College of Engineering,

Bangalore, India,

6. Faculty Development Program on “BIOSTATISTICS-HANDS ON WITH SPSS AND R

TOOL SESSIONS” held from 8th to 12th July 2013, by the Department of Medical

Electronics, B.M.S. College of Engineering, Bangalore, India

7. One Day Workshop on “LATEX FOR RESEARCH DOCUMENTATION” on 18th March

2013 by the Department of ISE and CSE at B.M.S. College of Engineering, Bangalore,

India

8. National Seminar on “GRAPH THEORY AND ITS APPLICATIONS” held during 3rd-5th

January 2013 at St Aloysius College, Mangalore.

9. One week ISTE approved Short term Training programme on “PROJECT

MANAGEMENT” from 20th to 25th August 2012 at B.M.S. College of Engineering,

Bangalore

10. Faculty Orientation Programme held during 23rd- 28th January 2012 at B.M.S College of

Engineering, Bangalore.

11. Three Day Workshop on “LINEAR ALGEBRA AND ITS APPLICATIONS TO

ENGINEERING” held during 16th-18th January 2012 at M. S. Ramaiah Institute of

Technology, Bangalore, India

Radha D.

1. Presented the paper entitled “MHD Non-Linear Bioconvection in a suspension of

Chemotactic Microorganisms” at the national conference on THE IMPORTANCE OF

DISCRETE MATHEMATICS IN MATHEMATICS AND COMPUTER SCIENCE held

during 13th – 14nd March, 2012 at Maharani’s Science College for Women, Bangalore,

India.

2. Presented the paper entitled “A study of falling plumes in chemotactic bacterial

magnetohydrodynamic bioconvection” at the National Conference on “Emerging Trends

in Fluid Mechanics and Graph Theory” held at Christ College, Bangalore, India, during

February 2010.

3. Presented the paper entitled “A study of falling plumes in modulated bacterial

bioconvection” at the State Level Seminar on “New Frontiers in the Development of

Science and Technology” organized by B. M. S. Womens College at B. M. S. College of

Engineering, Bangalore, India, during April 2009.

Kavitha M.S.

1. 5 days Workshop on Advanced of graph theory and application in data mining at Dr M

V Shetty engineering college, Mangalore.

2. 3 days Workshop on Application on trigonometry at Kuvempu university.

Training Courses given to outsiders:


1. Training imparted to the research students (M.Phil. and Ph.D.) on “Programing in Scilab”

during January 2012, at the Department of Mathematics, Christ University, Bangalore,

India.

Visits Abroad:

Chandrashekara G.

1. Cardiff University, Cardiff, UK, during April 4 to April 8, 2011.

2. Oxford University, Oxford, UK, during March 29 to April 1, 2011.

3. Korean Institute of Science and Technology, Daejeon, Republic of Korea, during 09 – 16

October, 2010.

Documents

Research activities of Faculty during 2009-2012