This download link is referred from the post: GTU BE 2019 Summer Question Papers || Gujarat Technological University
Subject Code: 2140107
GUJARAT TECHNOLOGICAL UNIVERSITY
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SEMESTER-IV(NEW) — EXAMINATION — SUMMER 2019
Subject Name: Computational Fluid Dynamics I
Time: 02:30 PM TO 05:00 PM
Date: 15/05/2019
Total Marks: 70
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Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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- Define CFD? Why is it widely used as a research tool nowadays? (03 MARKS)
- State applications of CFD in various fields. (04 MARKS)
- Derive the Continuity equation for any model of finite control volume fixed in space. (07 MARKS)
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- Define Substantial derivative. (03 MARKS)
- What are the three approaches used to study fluid flow problems? Explain in detail. (04 MARKS)
- Define Discretization. Explain different discretization methods. (07 MARKS)
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OR
- Using Taylor’s series expansion, derive 1st order forward, backward, and 2nd order central difference formulas. (03 MARKS)
- What is the physical significance of the CFL number? (04 MARKS)
- Explain the Eigenvalue method for determining the classification of PDEs. (07 MARKS)
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-
- Explain the Finite Volume Method for a 1-D diffusion problem. (07 MARKS)
OR
- Define:
- Truncation error
- Round-off error
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- What do you mean by order of accuracy? Explain with an example. (04 MARKS)
- Using Taylor’s series expansion derive:
- Second-order central second difference w.r.t x & y
- Second-order central second difference for mixed derivative
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-
- What are the factors affecting the grid? (03 MARKS)
- Write a note on Structured and Unstructured grids. (04 MARKS)
- What is Grid Transformation? Explain with an example. (07 MARKS)
OR
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- What is a Boundary Condition? State its importance in solving fluid flow problems. (03 MARKS)
- Explain Predictor and Corrector steps of the Mac-Cormack technique. (04 MARKS)
- Derive expressions to transform first derivatives w.r.t x, y & t to ξ & η. (07 MARKS)
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- Truncation error can be reduced by considering more number of grid points. True or False? How? (03 MARKS)
- Discuss: Explicit vs. Implicit approach. (04 MARKS)
- Write a short note on the ADI scheme. (07 MARKS)
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OR
- What are the three basic principles of fluid dynamics? (03 MARKS)
- Write a note on the stretched grid. (04 MARKS)
- Write a note on the Lax-Wendroff technique. (07 MARKS)
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This download link is referred from the post: GTU BE 2019 Summer Question Papers || Gujarat Technological University