Seat No.:
Subject Code: 2181925
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Enrolment No.
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-VII(NEW) EXAMINATION - SUMMER 2019
Subject Name: Computational Fluid Dynamics
Time: 10:30 AM TO 01:00 PM
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Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
Q.1
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(a) Explain three different approaches of fluid dynamics? [03]
(b) Discuss the analogy between the steady state and unsteady state, Laplace equation using proper physical interpretation. [04]
(c) What is partial derivative and substantial derivative? Derive continuity equation for any of the models. [07]
Q.2
(a) Explain the models of fluid flow. [03]
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(b) What are conservation and non conservation forms of governing equations? [04]
(c) Derive momentum equation for viscous flows. [07]
OR
(c) Derive the governing equations for the velocity boundary layer. [07]
Q.3
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(a) Write Euler’s model in generic form. [03]
(b) Write Navier stokes model in generic form [04]
(c) What is Descretization? Why it is required? List the basic descretization techniques. [07]
OR
Q.3
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(a) Explain the different boundary conditions applied to fluid flow domain. [03]
(b) Derive Reynolds Transport Theorem. [04]
(c) Explain in detail basic steps for Mac-Cormark Technique. [07]
Q.4
(a) Explain how to find “a second-order-accurate finite-difference at the boundary using a polynomial approach. [03]
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(b) Derive an exact analytic solution for Prandtl — Meyer expansion wave. [04]
(c) Write a short note on error and stability. And define the stable equation [07]
OR
Q.4
(a) Differentiate FDM, FEM and FVM. [03]
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(b) Explain the concept of transformation of the grid. [04]
(c) Write a short note on implicit approach and explicit approach. [07]
Q.5
(a) What is a Grid? What are the factors affecting the grid? [03]
(b) Explain grid terminology with a neat sketch [04]
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(c) Explain the steps for CFD preprocessing. [07]
OR
Q.5
(a) What is CFD? Why it is required? List the areas where it is applicable? [03]
(b) Explain structured and Unstructured grid. [04]
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(c) Derive the generic form for CFD for the complete flow system. [07]
Date: 13/05/2019
Total Marks: 70
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