Gujarat Technological UniversitySummer 2025 examination

GTU 3170512 Introduction to Computational Fluid Dynamics Summer 2025 Question Paper & PDF

B.E. · Chemical Engineering · Semester 7 · Subject code 3170512
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Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 2:30 PM – 5:00 PM
Questions
5 with internal choice
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Q.1

14 Marks
(a)
3 marks
Distinguish between structured and unstructured grid.
(b)
4 marks

Consider general linear 2nd order partial differential equation given below How to check, whether given partial differential equation is parabolic, hyperbolic or elliptic?

(c)
7 marks
Explain the classification of partial differential equations based on the Cramer rule.

Q.2

14 Marks
(a)
3 marks
Briefly discuss the application of CFD in design of fluidized bed reactor.
(b)
4 marks
Distinguish between the governing equation for viscous flow and inviscid flow.
(c)
7 marks

Define CFD. List application of CFD in chemical engineering. Write the names of commercial and open-source software packages available for CFD study.

(c)
7 marks
Explain computational fluid dynamics as a design tool.

Q.3

14 Marks
(a)
3 marks
List the different boundary conditions used in CFD.
(b)
4 marks
Explain the finite control volume approach for modeling flow with a neat sketch.
(c)
7 marks
Compare the shock fitting method with shock capturing method.
(a)
3 marks
Define well-posed problems.
(b)
4 marks

Shock waves appears naturally in computational domain in shock capturing method. Agree or disagree? Justify your answer.

(c)
7 marks

For moving fluid element, develop x-component of momentum balance equation in non-conservation form for viscous flow.

Q.4

14 Marks
(a)
3 marks

List advantages and disadvantages of higher order accurate finite difference equations.

(b)
4 marks
Discuss shear and normal stresses acting on the fluid element, with a neat sketch.
(c)
7 marks
Develop non-conservation form of continuity equation for inviscid flow.
(a)
3 marks

The one-dimensional heat conduction equation is as given below. Prove that this equation is a parabolic equation.

(b)
4 marks
Explain the basic aspects of finite difference equations.
(c)
7 marks

Consider a viscous flow of air over a flat plat. At a given station in the flow direction, the variation of the flow velocity (u) in the direction perpendicular to the plate (y), at equally spaced discrete grid points, are given as follow: The viscosity coefficient μ = 1.79 x 10⁻⁵ kg/(m s). Using these discrete values, Solve for the shear stress at the wall (τw) using:

1First order one sided difference
2Second order one sided difference
y, mu, m/s
00
0.0025445.88
0.0050887.41
0.00762124.98

Q.5

14 Marks
(a)
3 marks
Explain user activities at pre-processor stage during CFD study.
(b)
4 marks

Develop the second order central mixed finite difference expression for equation as given below.

(c)
7 marks
Explain application of CFD in design of insulation system.
(a)
3 marks
Explain role of post processor during CFD analysis of any problem.
(b)
4 marks
Discuss practical application of CFD for design of agitator.
(c)
7 marks

Develop the finite difference expressions for first order derivative with forward, backward and central difference approximations, using Taylor series expansion.

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About this paper

Official Gujarat Technological University (GTU) examination paper for Introduction to Computational Fluid Dynamics (Summer 2025, B.E. · Chemical Engineering, Sem 7). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

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