Gujarat Technological UniversitySummer 2026 examination

GTU 3170512 Introduction to Computational Fluid Dynamics Summer 2026 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
With example illustrate the use of computational fluid dynamics in reactor design.
(b)
4 marks

Enlist the various types of numerical errors with mitigation strategies for errors in computational fluid dynamics.

(c)
7 marks
Differentiate between forward, backward and central difference formula for

Q.2

14 Marks
(a)
3 marks

For the partial differential equation of two variables, give the cramer's rule for classification of PDE as Hyperbolic, Parabolic, or Elliptic.

(b)
4 marks
Differential between shear stress and normal stress for an arbitrary fluid element.
(c)
7 marks

Use second order central difference formula to discretize following term in computational fluid dynamics equation,

(c)
7 marks

For the following one-dimensional heat conduction equation, give the explicit and implicit finite difference formula,

Q.3

14 Marks
(a)
3 marks
Explain quasi-linear partial differential equation.
(b)
4 marks

Discuss the discretization using forward difference and backward difference formula for second order derivatives in partial differential equation.

(c)
7 marks

A temperature T of the moving fluid at any point is dependent on x,y,z, and time. Explain the partial, total, and substantial derivative of T with respect to time with reference to observer.

(a)
3 marks
What is the eigenvalue method for the solution of partial differential equation.
(b)
4 marks

Enlist and compare the advantages and disadvantages of computational fluid dynamics.

(c)
7 marks
Derive the general form of the continuity equation for an arbitrary volume.

Q.4

14 Marks
(a)
3 marks

With example explain the type of boundary condition where combination of variable and its gradient is specified.

(b)
4 marks

With Example differentiate between Dirichlet boundary condition and Neumann boundary condition.

(c)
7 marks
Derive the general form of the momentum equation for an arbitrary volume.
(a)
3 marks

Write short note on analysis of stability of partial differential equation using discretization methods.

(b)
4 marks
Describe use of computational fluid dynamics in the design of thin-film evaporator.
(c)
7 marks

For arbitrary moving fluid element, use shell balance formula to derive momentum balance equation in non-conservation form.

Q.5

14 Marks
(a)
3 marks

Define the divergence of any quantity X. What is the significance of divergence of velocity.

(b)
4 marks

Give brief about how to derive continuous stirred tank reactor performance equation using computational fluid dynamics.

(c)
7 marks

With clear example illustrate an application of computational fluid dynamics in agitator design.

(a)
3 marks

Give examples chemical process equipment design where the computational fluid dynamics as a tool can be used.

(b)
4 marks

Give brief about how to derive plug flow reactor performance equation using computational fluid dynamics.

(c)
7 marks

Define pre-processer, solver and post-processor for computational fluid dynamics setup. Give one example where they are used.

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About this paper

Official Gujarat Technological University (GTU) examination paper for Introduction to Computational Fluid Dynamics (Summer 2026, 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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