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STRUCTURAL AND THERMAL ANALYSIS ON PISTON USING COMPOSITE
MATERIAL
R.Prabou
1,C.Jagadeesh Vikram
2,P.Naveenchandran
3& E.Raja
4
1M.Tech Student,
2 Assistant-Professor,
3Professor,
4Assistant-Professor,
Department of Automobile Engineering,
BIST,BIHER, Bharath University, Chennai, India – 73.
Abstract—Metal Matrix Composites (MMCs)have evoked a distinct fascination as of late for potential
applications in Aerospace and car businesses attributable to their better Strength than weight proportion
and high temperature resistance. Composite materials are picking up significance for their favorable
circumstances including ease, straightforwardness and effortlessness of operation. Composites containing
hard oxides (like SiC) are favored for high wear resistance alongside expanded hardness, enhanced
erosion resistance and high temperature oxidation resistance when contrasted with amalgam and
immaculate metal. Composite covering is utilized with the end goal of wear resistance. With expanding
accessibility of micron-sized particles of SiC, there is developing enthusiasm for the electrolytic and
electro less co-statement of these particles.
In this work, material organization test, hardness test, of such composite coatings are done. The impact of
molecule size and number of particles suspended is accounted for. Sic Composites have been kept on
Aluminum by throwing process. The subsequent castings are examined utilizing checking electron
microscopy and hardness tests. The cylinder is demonstrated utilizing Pro-E out of control fire 4.0
displaying and dissected utilizing ANSYS 14.5 reproduction programming for Aluminum (Pure) and
Aluminum-SiC and the outcomes were examined.
Keywords: Piston, Pro-E, ANSYS.
I. INTRODUCTION
1.1 COMPOSITE MATERIAL
1.1.1 DEFINITION:
Composite materials are characterized as the blends of materials in distinctive creation or structure on a large
scale. The composite materials in light of the metals are said to be the Metal Matrix Composites[1-6].
Fig.1.Composite materials
The individual parts stay separate and unmistakable inside of the completed structure[7-15].
Run of the mill built composite materials include:
Composite building materials, for
example, bonds, concrete
Reinforced plastics, for example, fiber-
strengthened polymer
Metal Composites
International Journal of Pure and Applied MathematicsVolume 119 No. 12 2018, 10003-10020ISSN: 1314-3395 (on-line version)url: http://www.ijpam.euSpecial Issue ijpam.eu
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Ceramic Composites (composite clay and metal grids)
Composite materials are generally used for structures, expansions and structures, for instance, watercraft
bodies, race auto bodies, shower backs off, baths[16-20], and limit tanks, pantomime shake and refined marble
sinks and edges. The most extraordinary specimens perform routinely on rocket in asking for site[21-26].
1.2 COMPOSITES IN ANSYS
Composite materials have been used as a piece of structures for a long time. Starting at late composite
parts have been used comprehensively as a piece of plane structures, automobiles, wearing stock, and various
buyer things. Composite materials are those containing more than one fortified material, each with particular
fundamental properties. The essential purpose of inclination of composite materials is the potential for a high
extent of solidness to weight[27-30].
Fig.2.Trunk pistons
Composites utilized for regular building applications are propelled fiber or overlaid composites, for
example, fiberglass, glass epoxy[31-39], graphite epoxy, and boron epoxy. ANSYS permits us to model
composite materials with particular components called layered components. When we manufacture our model
utilizing these components, we can do any auxiliary investigation (counting nonlinearities, for example, huge
avoidance and stress solidifying).
1.3 MODELING COMPOSITES
A chamber is a piece of reacting engines[40-46], reacting pumps, gas compressors and pneumatic
barrels, among other equivalent instruments. It is the moving section that is contained by a barrel and is made
gas-tight by chamber rings. In an engine, its inspiration is to trade control from developing gas in the chamber to
the crankshaft by method for a barrel bar or potentially partner post. In a pump[47-53], the limit is pivoted and
power is traded from the crankshaft to the barrel with the ultimate objective of pressing or propelling the fluid in
the chamber. In a couple engines, the chamber similarly goes about as a valve by covering and uncovering ports
in the barrel divider.
Choosing the best possible component sort
Defining the layered setup
Specifying disappointment criteria
Following displaying and post-handling rules
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High Temperature Mechanical Properties of Silicon Carbide Particulate Reinforced Cast
Aluminum Alloy Composite
The impact of high temperature on mechanical properties of silicon carbide particulate fortified cast
aluminum compound composite has been examined
Limited Element Analysis of Reverse Engineered Internal Combustion Engine Piston
The inside burning motor cylinder is broke down utilizing ANSYS limited component investigation.
The heap following up on the cylinder crown is of 4 Mpa and the maximum temperature following up
on the cylinder crown is 360ºC
Raised Temperature Mechanical Properties of Aluminum silicon carbide composite
Mechanical properties of aluminum composite fortified with silicon carbide particles were concentrated
on. Time burst creep tests completed at 300 oC demonstrated that the composites shows higher wet
blanket resistance when contrasted with the framework compound aside from at moderately low stretch
Examination of Misshappening in composite cylinders of an inside ignition motor
The paper exhibits a few consequences of re-enactment exploration of composite cylinders utilized as a
part of an immediate infusion diesel motor. An improvement endeavour connected to cylinder shape
and measurements of preforms fixed in cylinders is likewise displayed, in admiration of existing warm
loads and particular temperature circulation and additionally dissemination of anxiety and strain with
respect to bearing of de-development moderately to worldwide direction
2.1 PISTON
The barrel of an inside start engine is followed up on by the heaviness of the developing smoldering
gasses in the blazing chamber space at the most elevated purpose of the barrel. This power then acts downwards
through the interfacing shaft and onto the crankshaft. The joining shaft is associated with the barrel by a
swivelingGudgeon stick (US: wrist stick). This stick is mounted within the chamber: not at all like the steam
engine, there is no barrel post or crosshead. The stick itself is of cemented steel and is modified in the chamber,
however permitted to move in the joining shaft. A few layouts use a 'totally skimming' arrange for that is free in
both fragments. All pins must be kept from moving sideways and the completions of the stick plunging into the
chamber divider, by and large bycirclips.
2.2 INTERNAL COMBUSTION ENGINES
The cylinder of an interior ignition motor is followed up on by the weight of the growing burning
gasses in the burning chamber space at the highest point of the barrel. This power then acts downwards through
the interfacing pole and onto the crankshaft. The joining pole is connected to the cylinder by a
swivellingGudgeon pin (US: wrist pin). This pin is mounted inside of the cylinder: dissimilar to the steam
motor, there is no cylinder pole or crosshead. The pin itself is of solidified steel and is altered in the cylinder,
however allowed to move in the uniting pole. A couple outlines utilize a 'completely skimming' plan that is free
in both segments. All pins must be kept from moving sideways and the finishes of the pin diving into the
chamber divider, generally bycirclips.
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Fig.3.Crosshead pistons
Gas settling is refined by the usage of chamber rings. These are different limited iron
rings, fitted openly into segments in the chamber, just underneath the crown. The rings are
part at a point in the edge, allowing them to press against the chamber with a light spring
weight. Two sorts of ring are used: the upper rings have solid faces and give gas settling;
bring down rings have tight edges and a U-framed profile, to go about as oil scrubbers. There
are various prohibitive and unobtrusive component arrange highlights associated with barrel
rings.
Fig.4.Slipper pistons
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Fig.5.Deflector pistons
3.1 ALUMINIUM GENERAL INFORMATION
3.1.1 CHEMICAL DEFINITION
Aluminum: a chemical element (symbol Al) with an atomic number of 13,
An atomic weight of 26.98, and
Single stable isotope: 27.
Aluminum is a soft, silvery metal.
Relative density: 2.70 kg/dm3
Melting point: 660°C
A dainty, waterproof layer of aluminum oxide is framed on contact with the air. Aluminum is an essential
development material in blend with different metals. The real mixes of aluminum are the oxide, hydroxide,
chloride, sulfate, silicate, and acetic acid derivation.
ALUMINIUM GENERAL INFORMATION
In 2011, Aluminum praised its 125th commemoration!
In 1761, a Frenchman named de Morveau found a formerly obscure material. He gave it the name
'alumina', from the Latin word 'alumen', which signifies 'light'.
In 1787, the scientific expert Lavoisier discovered that alumina was an oxide of a metal that was
obscure around then.
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In 1821, bauxite was found at Les Baux
3.2 ALUMINIUM ALLOY
Aluminum can be alloyed with manganese, silicon, magnesium, zinc and different components. The
expansion of a little sum (0.5-3%) of one or more different metals is adequate to improve certain helpful
properties of aluminum, for example, quality, hardness, and weld capacity or erosion resistance. The most
widely recognized material utilized for car cylinders is aluminum combination because of its lightweight, ease
and satisfactory quality. Silicon is the major alloying component added to aluminum, which offers weight
lessening to the cylinder, change in hardness, quality, wear and scrape resistance.
Table.1 Chemical composition
3.3 COMPARISON OF ALUMINIUM ALLOY AND ALSIC:
The major advantages of using aluminium alloy are tied directly to its’ remarkable properties.
Element Composition Element Composition
Si 0.4430 Zn 0.0001
Fe 0.1638 Cr 0.0024
Cu 0.0041 Ti 0.0078
Mg 0.5832 Ca 0.0003
Mn 0.0132 Al 98.751
PROPERTIES: Aluminium
alloy
AlSiC
Density (g/cm3) 2.7-2.8 2.835-2.9
Young’s Modulus (Pa) 0.75E-11 0.83E-11
Co-efficient of thermal
expansion (/k)
24*E-6 1.55*E-6
Thermal conductivity
(W/mK)
173 216.69
Poisons ratio (1/m) 0.33 0.3
Tensile strength (MPa) 230-570 420-640
Yield strength (MPa) 215-505 293-600
Melting point (deg C) 501 688.23
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Table.2.Comparison of Aluminium alloy and AlSiC
3.4 ADVANTAGES OF ALUMINIUM ALLOY:
• Corrosion Resistance of Aluminum Alloys
At the point when aluminum is presented to air, a flimsy oxidized film shapes at first glance, shielding the metal
from erosion. Whenever scratched, the layer quickly changes holding the insurance. This component is used in
development, structures and family unit utensils.
• Attractive and Esthetically Pleasing Finish
The normal metallic surface of aluminum is stylishly satisfying; the surface supplied is sufficient and does not
require further wrapping up. In the event that extra insurance is required, the regular oxide film may thickened
by anodizing without influencing the metal's appearance.
• Wide Range of Available Finishes
An extensive variety of completions may be connected to aluminum, to improve its surface attributes, or adjust
its appearance. The metallic surface may be shaded by compound or anodizing
3.5 ALUMINIUM SILICON CARBIDE ALLOY
Aluminum combinations are not suitable for high temperature applications in light of the fact that elastic
and weakness qualities are not as high as coveted in the temperature scope of 500 F to 700F. The most
noteworthy temperature of any point in cylinder must not surpass more than 66% of the liquefying point
temperature of the aluminum combination. Subsequently the point of confinement temperature for the aluminum
combination is of 640K. So they are not suitable for high temperature applications.
So we are strengthening silicon carbide in aluminum composite to make the cylinders to withstand high
temperatures which has high liquefying temperature when contrasted and aluminum amalgam. Aluminum
silicon carbide amalgam demonstrates great improvement of the mechanical properties like extreme rigidity,
yield quality, hardness and pliability at raised temperatures.
Properties of Different Material used for the Finite Element Analysis
Table.3Aluminium silicon carbide alloy properties
Material Elastic
Modulus
GPa
Poisson
ratio (μ)
Coefficient
of thermal
expansion
X 10-5 /°K
Thermal
conductivi
ty W /mK
Density
Kg/m3
Al-10 wt. % SiC 77.4 0.33 2.0 173 2744.0
Al-20 wt. % SiC 86.0 0.32 1.75 168 2788.0
Al-30 wt. % SiC 92.0 0.31 1.55 164 2835.0
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3.6 ADVANTAGE AND APPLICTIONS
Composite cylinder made of metal framework composites high quality maintenance on maturing at
serious situations. Contrasted with aluminium amalgam, the aluminium silicon carbide composite is found to
have lesser distortion, lesser anxiety and great temperature dispersion. Rather than these a portion of the
impediments confronted by aluminium combination cylinder are cured by these aluminium silicon carbide
composite cylinder.
Era, bundling, structural engineering, and electrical transmission, transport, nourishment readiness,
vitality, applications. Contingent on the application, aluminum can be used to supplant distinctive materials like
copper, steel, zinc, tin plate, stainless steel, titanium, wood, paper, concrete and composites. A couple of
outlines of the regions where aluminum is used are given as a part of the going with portions.
Packaging
Transport
Marine Applications
Building and Architecture
4.1 CAD/CAE
PC supported configuration or CAD has extremely expansive significance and can be characterized as
the utilization of PCs in creation, adjustment, examination and enhancement of an outline. CAE (Computer
Aided Engineering) is alluded to PCs in engineering examination like anxiety/strain, heat exchange, and stream
investigation. Computer aided design/CAE is said to can possibly drastically build profitability than any
advancement since power. Computer aided design/CAE constructs quality structure idea to conclusive item.
Rather than acquiring quality control amid the last examination it adds to a procedure in which quality arrives
through the life cycle of the item. Computer aided design/CAE can dispense with the requirement for models.
Be that as it may, it required models can be utilized to affirm rather anticipate execution and different attributes.
Computer aided design/CAE is utilized in various commercial enterprises like assembling, car, aviation,
throwing, mold making, plastic, hardware and other broadly useful businesses. Computer aided design/CAE
frameworks can be comprehensively separated into low end, mid end and top of the line frameworks. Low-end
frameworks are those frameworks which do just 2D demonstrating and with just little 3D displaying capacities.
As indicated by industry static's 70-80% of every single mechanical creator still uses 2D CAD applications. This
may be for the most part because of the high cost of top of the line frameworks and an absence of skill.
Mid-end frameworks are really comparable top of the line frameworks with all their outline capacities
with the distinction that they are offered at much lower costs. 3D sold demonstrating on the PC is expanding in
light of numerous reasons like moderate and capable equipment, solid sound programming that offers windows
instance of utilization abbreviated outline and generation cycles and smooth incorporation with downstream
application. More creators and designers are moving to mid end framework.
Top of the line CAD/CAE programming's are for the complete displaying, investigation and
assembling of items. Top of the line frameworks can be envisioned as the mind of simultaneous designing. The
outline and improvement of items, which took years in the past to finish, is currently made in days with the
assistance of top of the line CAD/CAE frameworks and simultaneous building.
5.1 MODELING:
Model is a Representation of a thing, a system, or an idea in some structure other than that of the
substance itself. Exhibiting is the strategy of conveying a model; a model is a representation of the improvement
and working of some course of action of side interest. A model resembles however less troublesome than the
structure it addresses. One inspiration driving a model is to engage the master to anticipate the effect of changes
International Journal of Pure and Applied Mathematics Special Issue
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to the structure. From one perspective, a model should be an adjacent figure to the real structure and join a vast
segment of its striking components. Of course, it should not be perplexing to the point that it is hard to
appreciate and attempt distinctive things with it.
A good model is a sensible trade off amidst genuineness and ease. Re-establishment experts endorse
growing the eccentrics of a model iteratively. A basic issue in showing is demonstrate authenticity. Demonstrate
endorsement systems join reproducing the model under known data conditions and differentiating model yield
and structure yield. All things considered, a model proposed for a re-institution study is a logical model made
with the help of entertainment programming.
Software for modelling:
•Solid works
•Creo (Pro-E)
•CATIA
•Unigraphics, etc
5.2 CREO 2.0
Creo Elements/Pro (once Pro/ENGINEER), PTC's parametric, incorporated 3D CAD/CAM/CAE
arrangement, is utilized by discrete producers for mechanical building, plan and fabricating. Made by Dr.
Samuel P. Geisberg in the mid-1980s, Pro/ENGINEER was the business' first effective guideline based
requirement (in some cases called "parametric" or "variational") 3D CAD displaying framework. The parametric
displaying approach utilizes parameters, measurements, components, and connections to catch planned item
conduct and make a formula which empowers outline computerization and the improvement of configuration
and item advancement forms.
This blueprint philosophy is used by associations whose thing framework is family-based or organize
driven, where a prescriptive design system is essential to the achievement of the arrangement procedure by
embedding building necessities and associations with quickly streamline the layout, or where the resulting
geometry might puzzle or based upon numerical proclamations. Creo Elements/Pro gives an entire course of
action of setup, examination and manufacturing capacities on one, fundamental, flexible stage. These required
limits fuse Solid Modeling, Surfacing, Rendering, Data Interoperability, Routed Systems Design, Simulation,
Tolerance Analysis, and NC and Tooling Design. Like any item it is perseveringly being made to consolidate
new helpfulness.
The purposes of enthusiasm underneath plan to plot the degree of abilities to give a survey as opposed
to giving specific inconspicuous components on the individual helpfulness of the thing. Creo Elements/Pro is an
item application within the CAD/CAM/CAE arrangement, nearby other relative things at this moment
accessible. Creo Elements/Pro is a parametric, component based showing incorporating configuration merged
with a single database rationale with bleeding edge standard based setup limits. It offers through and through
control of complex geometry, as exemplified by the trajpar parameter. The capacities of the thing can be part
into the three crucial headings of Engineering Design, Analysis and Manufacturing.
Mechani.5.3 ENGINEERING DESIGN
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Fig.7.Piston dimensions
Creo Elements/Pro offers a scope of devices to empower the era of a complete computerized
representation of the item being planned. Notwithstanding the general geometry devices there is likewise the
capacity to create geometry of other incorporated configuration trains, for example, mechanical and standard
channel work and finish wiring definitions.
Mechanical assemblies are furthermore open to reinforce aggregate headway. Different thought
diagram devices that give ahead of time Industrial Design thoughts can then be used as a part of the downstream
method of building the thing. These range from sensible Industrial layout draws, making sense of with point cl-
oud data and intensive free-form surface gadgets.
We made model Piston utilizing CREO programming. The models are demonstrated as follows,
Fig:8 SKETCH FOR PISTON MODELING
International Journal of Pure and Applied Mathematics Special Issue
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Fig:9 HOLE FOR PIN
Fig:10 HOLE CONSTRAINED
Fig:11 CONSTRAINED PISTONS
International Journal of Pure and Applied Mathematics Special Issue
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Fig:12 COMPLETED PISTON
6.1 FINITE ELEMENT METHOD
The Finite Element Method (FEM) is a solid numerical system for dissecting building plans. FEM
replaces a mind boggling issue with numerous basic issues. It partitions the model into numerous little bits of
basic shapes called components. Components offer normal focuses called hubs. The conduct of these
components is surely understood under all conceivable backing and stack situations. The movement of every
hub is completely depicted by interpretations in the X, Y, and Z bearings. These are called degrees of flexibility
(DOFs). Examination utilizing FEM is called Finite Element Analysis (FEA). Ansys plans the comparisons
overseeing the conduct of every component looking into its availability to different components. These
comparisons relate the removals to known material properties, restrictions, and loads.
Next, the system sorts out the mathematical statements into a vast arrangement of synchronous
logarithmic comparisons. The solver finds the removals in the X, Y, and Z bearings at every hub. Utilizing the
relocations, the project ascertains the strains in different headings. At last, the system utilizes scientific
expressions to ascertain stresses. Limited component continues at present broadly utilized as a part of the
building examination. The techniques are utilized broadly in the investigation of solids structure has exchanged
and limited component routines are valuable in essentially every field at designing examination.
The limited component system is a numerical examination strategy for acquiring roughly answer for
assortments of building in the limited component investigation real continuum or body of the matter like strong,
fluid or gas is spoken to as a collection of sub division called limited component. These limited components of
field variable inside the limited component can roughly by the single capacity.
The around capacities are characterized as far as the estimations of the field variable of the hubs by
illuminating the strong variables the aggregate estimations of the field variable of the hubs by understanding the
strong variables the aggregate estimations of the hubs by soling the strong variables the aggregate estimations of
the field variable can be figured out.
6.2 STEPS IN FEA
Definitions of the issue and its space.
Discretisation of the space the continuum.
Identification of state variable.
Formulation of the issue.
Establishing coordinate framework.
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Constructing surmised capacities for the components.
Obtaining component lattice and mathematical statement.
Coordinate change.
Assembly of component mathematical statements.
Introduction of the last arrangement of synchronous mathematical statement.
Interpretations of the results.
6.3 BASIC COMPONENTS OF FEA
Pre-processor
Post processor
General post processor
Solution
6.4 ADVANTAGES OF FEA
Applicable to any field issue, for example, recuperate exchange stress examination, attractive field and
so forth.
There is no network confinement.
Approximately it is effortlessly enhanced by evaluating the cross section so that more components
show up where field slopes are high and more determination is required.
Compounds that have diverse conduct and distinctive scientific portrayal can be tackled.
FEA structure nearly looks like intently the real body or locale to be analysed.
6.5 USES OF FEA
Structural analysis
Fluid flow analysis
Heat transfer analysis
Mass transport
CONCLUSIONS
A piston made of composite material (aluminium silicon carbide) is designed and analyzed
successfully. Composite piston made of metal matrix offers high strength retention on ageing even at severe
environments. Compared to aluminium, the aluminium silicon carbide is found to have lesser deformation,
lesser stress and good temperature distribution. Some of the limitations faced by aluminium piston are overcame
by the aluminium silicon carbide piston. From this project we get the clear knowledge about the composite
material AlSiC and its features.
ACKNOWLEDGMENT
The authors would like to acknowledge the support of Mechanical Engineering Department of Saintgits
College of Engineering for conducting the present investigation.
International Journal of Pure and Applied Mathematics Special Issue
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33. Sartiha, B., Chockalingam, M.P., Study on photocatalytic degradation of Crystal
Violet dye using a semiconductor, International Journal of Pure and Applied
Mathematics, V-116, I-18 Special Issue, PP-209-212, 2017
34. Shanthi, E., Nalini, C., Rama, A., The effect of highly-available epistemologies on
hardware and architecture, International Journal of Pharmacy and Technology, V-8, I-
3, PP-17082-17086, 2016
35. Shanthi, E., Nalini, C., Rama, A., Drith: Autonomous,random communication,
International Journal of Pharmacy and Technology, V-8, I-3, PP-17002-17006, 2016
36. Shanthi, E., Nalini, C., Rama, A., A case for replication, International Journal of
Pharmacy and Technology, V-8, I-3, PP-17234-17238, 2016
37. Shanthi, E., Nalini, C., Rama, A., Elve: A methodology for the emulation of robots,
International Journal of Pharmacy and Technology, V-8, I-3, PP-17182-17187, 2016
38. Shanthi, E., Nalini, C., Rama, A., Autonomous epistemologies for 802.11 mesh
networks, International Journal of Pharmacy and Technology, V-8, I-3, PP-17087-
17093, 2016
39. Sharavanan, R., Golden Renjith, R.J., Design and analysis of fuel flow in bend pipes,
International Journal of Pure and Applied Mathematics, V-116, I-15 Special Issue,
PP-59-64, 2017
40. Sharavanan, R., Jose Ananth Vino, V., Emission analysis of C.I engine run by
diesel,sunflower oil,2 ethyl hexyl nitrate blends, International Journal of Pure and
Applied Mathematics, V-116, I-14 Special Issue, PP-403-408, 2017
41. Sharavanan, R., Sabarish, R., Design of built-in hydraulic jack for light motor
vehicles, International Journal of Pure and Applied Mathematics, V-116, I-17 Special
Issue, PP-457-460, 2017
42. Sharavanan, R., Sabarish, R., Design and fabrication of aqua silencer using charcoal
and lime stone, International Journal of Pure and Applied Mathematics, V-116, I-14
Special Issue, PP-513-516, 2017
43. Sharmila, G., Thooyamani, K.P., Kausalya, R., A schoolwork on customer
relationship management with special reference to domain 2 host, International
Journal of Pure and Applied Mathematics, V-116, I-20 Special Issue, PP-199-203,
2017
44. Sharmila, S., Jeyanthi Rebecca, L., Anbuselvi, S., Kowsalya, E., Kripanand, N.R.,
Tanty, D.S., Choudhary, P., SwathyPriya, L., GC-MS analysis of biofuel extracted
from marine algae, Der Pharmacia Lettre, V-8, I-3, PP-204-214, 2016
45. Sidharth Raj, R.S., Sangeetha, M., Data embedding method using adaptive pixel pair
matching method, International Journal of Pure and Applied Mathematics, V-116, I-
15 Special Issue, PP-417-421, 2017
46. Sidharth Raj, R.S., Sangeetha, M., Android based industrial fault monitoring,
International Journal of Pure and Applied Mathematics, V-116, I-15 Special Issue,
PP-423-427, 2017
47. Sidharth Raj, R.S., Sangeetha, M., Mobile robot system control through an brain
computer interface, International Journal of Pure and Applied Mathematics, V-116, I-
15 Special Issue, PP-413-415, 2017
48. Sivaraman, K., Sundarraj, B., Decisive lesion detection in digital fundus image,
International Journal of Pure and Applied Mathematics, V-116, I-10 Special Issue,
PP-161-164, 2017
International Journal of Pure and Applied Mathematics Special Issue
10018
49. Sridhar, J., Sriram, M., Cloud privacy preserving for dynamic groups, International
Journal of Pure and Applied Mathematics, V-116, I-8 Special Issue, PP-117-120,
2017
International Journal of Pure and Applied Mathematics Special Issue
10019