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ME – 259 Introduction to Computational Fluid
                                  Dynamics
                        Prof. Dongmei Zhou
Introduction
 CFD Model
Introduction
 Applications




                          River channel Bifurcation


  Living Cardiovascular
  system
Fluent Settings
 CFD Simulation: 3ddp (3-D Double Precision)
 Convergence criteria:
    Continuity = 1e-06
    X- velocity = 1e-06
    Y- velocity = 1e-06
    Z- velocity = 1e-06
 Discretization :
    Pressure : PRESTO
    Momentum equation setting = Second Order Upwind
 Solver : Coupled
Boundary Conditions (BC)
 BC 1 : Main channel Velocity Inlet


 BC 2 : Main channel Pressure Outlet


 BC 3 : Branch Velocity outlet
Procedure For study
 Grid Independent Study
    Creation of Different Mesh Files in GAMBIT ®
    Simulated in FLUENT® 3D
    Find Reattachment Length in Zone A
    Plot Truncation Error
 Parameter Study
    Simulated
        Scenario 1 : Used Cases In Benchmark Paper
    
        Scenario 2 : Change Fluid from water to Hydrogen
    
        Scenario 3 : Keeping Reynolds Number constant changed
    
                     Discharge Ratio
Grid Independent Study
 Simulation results of Reattachment Length in Zone A
                                 Reattachment Length in Zone A
                                                         % Error                   % Error
  Analytical                   Re-
                                                          From                    From Best
   Result                  attachment       Error                    Error From
                                                        Analytical                Mesh Size
    from       Mesh Size      Length        From                        Best
                                                            Or                        Or
   Liepsch                  in Zone A     Analytical                  Mesh Size
                                                        Truncation                Truncation
    Paper                    (meters)
                                                           error                     error

                148176      2.42857       0.44847     15.58789589     0.43507     15.19290134

                453600      2.48654        0.3905     13.57297778      0.3771     13.16855471
   2.87704     1185408      2.64287       0.23417     8.139268137     0.22077     7.709418782

               4000752      2.85714        0.0199     0.691683119      0.0065     0.226983839

               4634784      2.86364        0.0134     0.465756472        0            0
Grid Independent Study
 Truncation Error Plots




   Comparing with Liepsch Paper   Comparing with Best Mesh Size
Grid Independent Study
 Streamline plots of velocity of Case 1 at Z = 2.0
Grid Independent Study
 Comparison of velocity profiles at Z=4.0 plane
Grid Independent Study
 Skin Friction Plots At Outer wall Of The Main
  Skin Friction Plots At Branch Left wall
                                  Right Wall
  Channel
Grid Independent Study
 Z-plots of Vorticity Profiles at different positions of Y
  keeping X constant
Grid Independent Study
 Z-plots of Vorticity Profiles at different positions of X
  keeping Y constant
Parameter Study
 Mesh Size Used : 81 x 70 x 80
 Scenario Used
   1. Study of Cases in Paper
   2. Change of Fluid to Hydrogen
   3. Keeping Re Constant Change Discharge ratio ‘r’
Parameter Study
 Scenario 1 : Study of Cases in Paper
        Reynold        Discharge Main channel
                                                 Branch Velocity Outlet
 Case                    Ratio    Velocity inlet
                                                      V2 (m/sec)
                  AR
        Number             r     V1 = Ub (m/sec)
  1       515     8      0.23      0.000258738         0.000059509
  2       496     8      0.44       0.00024919         0.000109643
  3       525     8      0.64      0.000026376         0.000168806
  4      1062     8      0.58      0.000533548         0.000309458
  5       496     1      0.44       0.00024919         0.000109643
Parameter Study
 Scenario 1 : Study of Cases in Paper
    Velocity streamline plots of the simulation
Parameter Study
 Scenario 1 : Study of Cases in Paper
    Velocity streamline plots of the Paper or benchmark
Parameter Study
 Scenario 2 : Change of Fluid to Hydrogen


            Parameter Study Scenario 2 : Re-attachment Length
                                  Discharge
             Reynolds                                      Reattachment
  Fluid                             Ratio
              number                                     Length Xr (meters)
                                     ‘r’
  Water         496                  0.44                     2.48654
 Hydrogen       496                  0.44                       3.2
Parameter Study
 Scenario 2 : Change of Fluid to Hydrogen
Parameter Study
 Scenario 3 : Keeping ‘Re’ Constant Change Discharge ratio ‘r’
 Reynold     Discharge Ratio 'r'   Main channel        Branch Velocity
 Number                            Inlet Velocity          Outlet
                                    V1 (m/sec)           V2 (m/sec)


                    0.23                                0.000059509



                                         0.000258738
                    0.75                                0.000194053
   515               1                                  0.000258738
                    1.5                                 0.000388107
                     2                                  0.000776214
Parameter Study
 Scenario 3   Velocity Streamline plot at r = 0.23
Parameter Study
 Scenario 3   Velocity Streamline plot at r = 0.75
Parameter Study
 Scenario 3   Velocity Streamline plot at r = 1.00
Parameter Study
 Scenario 3   Velocity Streamline plot at r = 1.50
Parameter Study
 Scenario 3   Velocity Streamline plot at r = 2.00
Conclusion
 Grid Independent Study




  Comparing with Liepsch Paper   Comparing with Best Mesh Size
Conclusion
 Parameter Study Scenario 1
Conclusion
 Parameter Study Scenario 1
Conclusion
 Parameter Study Scenario 2
Conclusion
 Parameter Study Scenario 3
Conclusion
 Parameter Study Scenario 3
Conclusion
 Parameter Study Scenario 3
Conclusion
 Parameter Study Scenario 3
Conclusion
 Parameter Study Scenario 3
Questions

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CFD T section pipe flow benchmarking