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    Problem-1 of CFD Lab

    Objective:To carry out CFD simulation

    1. CFD simulation of laminar flow ofwater in a straight horizontal pipe2. CFD simulation of turbulent flow ofwater in the same pipe3. CFD simulation of laminar flow ofwater with a finer mesh in the same pipeGeometry:Straight horizontal pipe

    Diameter of pipe = 5 cm

    Length of pipe = 100 cm

    Orientation of pipe is such that the axis is in +y direction.

    problem-1.msh, the file containing the geometry and mesh will be provided. problem-1-

    finer.msh, the file containing the geometry and finer mesh will also be provided.

    Reynolds Number for Simulations

    In the manual give to you the laminar flow has been simulated for a mass flow rate =

    0.027728 kg/sec and turbulent flow for mass flow rate = 0.27728 kg/s. In the lab you have to

    carry out simulations

    1. for laminar flow at Re = 1000 + (n-1)*50 where n = group number

    2. for turbulent flow at Re = 10*{1000+(n-1)*50} where n = group number

    Compute mass flow rate accordingly for simulations. For turbulent flow take turbulent

    intensity at inlet as 10% and length scale as 0.005 m.

    The information given up to this point should not be a part of you submission. The

    report should be submitted in the format given below.

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    Report for Problem-1 of CFD Lab Spring Semester Year 2010-11

    1. Group Number:2.

    Names of group members with roll numbers:

    3. Date of submission:4. Results for simulation of laminar flow with first mesh

    Reynolds number =

    Mass flow rate =

    Axial velocity contours at inlet and outlet (show the contour plots and discuss why they

    are different for inlet and outlet)

    Axial velocity profile (plot the axial velocity profile in the middle of the pipe andcompare with theoretical velocity profile on the same plot. Very briefly discuss the difference

    and possible reasons for this difference)

    Friction factor (calculate friction factor and compare with theoretical value and very

    briefly discuss the difference and possible reasons for the same. Show the calculations)

    5. Results of simulations for turbulent flow with first meshReynolds number =

    Mass flow rate =

    Axial velocity profile (plot the axial velocity profile in the middle of the pipe andcompare with theoretical velocity profile on the same plot. Very briefly discuss the difference

    and possible reasons for this difference. Theoretical velocity profile for turbulent flow is

    given in Annexure at the end of the format of this report)

    Friction factor (calculate friction factor and compare with theoretical value and very

    briefly discuss the difference and possible reasons for the same. Show the calculations)

    Comparison of axial velocity profile with that for laminar flow (normalize the axial

    velocity profiles of laminar flow and turbulent flow using average velocity for the two cases.

    Plot the normalized profiles on the same graph and discuss the difference)

    Comparison of friction factor of laminar and turbulent flow (discuss whether thevalues of friction factors for laminar flow and turbulent flow are as one should have expected)

    6. Results for laminar flow with finer meshAxial velocity profile (plot the axial velocity profile for finer mesh along with the axial

    velocity profile for laminar flow with the previous mesh and theoretical velocity profile and

    very briefly discuss the difference)

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    Friction factor (calculate friction factor for finer mesh and compare with the frictionfactor for laminar flow with previous mesh and discuss the results)

    7. Conclusion (write very briefly what CFD simulations are able to/ not able to predict)

    Annexure

    Theoretical velocity profile for turbulent flow

    7

    1

    avgyR

    r1V25.1V

    =

    where

    A

    QVavg =

    Q is the flow rate, A is the cross-sectional area of pipe, R is radius of the pipe, Vavg is the

    average velocity through the pipe.