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Compare the CFD solution with the analytical solution. Determine the stability criteria for the explicit solution method. Show Line plots of the instability in the

image text in transcribedCompare the CFD solution with the analytical solution. Determine the stability criteria for the explicit solution method. Show Line plots of the instability in the solution when the stability criteria is violated

Consider the flow of a fluid between two infinitely long and infinitely wide parallel plates separated by a distance H, with the top plate having a velocity U and the bottom plate held stationary. Write a CFD code to obtain the velocity field between the plate at different time instances as well as at steady state. Compare the steady state CFD results with the analytical solution. Prepare a well written report on the CFD simulation in MS Word with the following contents: - No. Section Contents Problem Description Governing Equations Describe the flow problem in words, with the help of a schematic of the physical domain. Derive the governing equation for the flow problem starting from the continuity and the Navier Stokes equations. List the Initial and Boundary conditions Initial And Boundary Conditions Solution Procedure 4 5 Results and Discusssion Make a mesh in the physical domain and discretize the governing equation using the finite difference method. Include a mesh plot showing the distribution of points in the computational domain. Attach a copy of the CFD code in the Appendix. Show vector plots and line plots of the flow field at different time steps and discuss your results Compare the CFD solution with the analytical solution. Determine the stability criteria for the explicit solution method. Show Line plots of the instability in the solution when the stability criteria is violated. Conclusion Consider the flow of a fluid between two infinitely long and infinitely wide parallel plates separated by a distance H, with the top plate having a velocity U and the bottom plate held stationary. Write a CFD code to obtain the velocity field between the plate at different time instances as well as at steady state. Compare the steady state CFD results with the analytical solution. Prepare a well written report on the CFD simulation in MS Word with the following contents: - No. Section Contents Problem Description Governing Equations Describe the flow problem in words, with the help of a schematic of the physical domain. Derive the governing equation for the flow problem starting from the continuity and the Navier Stokes equations. List the Initial and Boundary conditions Initial And Boundary Conditions Solution Procedure 4 5 Results and Discusssion Make a mesh in the physical domain and discretize the governing equation using the finite difference method. Include a mesh plot showing the distribution of points in the computational domain. Attach a copy of the CFD code in the Appendix. Show vector plots and line plots of the flow field at different time steps and discuss your results Compare the CFD solution with the analytical solution. Determine the stability criteria for the explicit solution method. Show Line plots of the instability in the solution when the stability criteria is violated. Conclusion

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