Jawaharlal Nehru Technological University Hyderabad
Jawaharlal Nehru Technological University Hyderabad B.Tech IV COMPUTATIONAL FLUID DYNAMICS Previous Question Paper (December - 2019 - R16)
Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks and may have a, b as sub questions.
Part A
What is the working principle of CFD?
Answer
The working principle of CFD is based on the numerical solution of the governing partial differential equations of fluid flow (Conservation of Mass, Momentum, and Energy) by discretizing the spatial and temporal domains into a finite set of algebraic equations.
What is the need for CFD?
Answer
CFD is needed to provide a cost-effective alternative to experimental testing, to analyze complex flow phenomena that are difficult to measure physically, and to allow for rapid design optimization through parametric studies in virtual environments.
List the boundary conditions for Elliptic type of Governing Equations.
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What are Curvelinear coordinates?
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What are the types of errors in FDM?
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Explain the Discretization using Explicit method
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Illustrate the Wendroff Technique.
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Define Stream Function.
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What is Upwind Scheme?
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What is Marker and Cell (MAC) Formulation?
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Part B
Explain Thomas Algorithm for solving the tri diagonal Matrix Algorithm.
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Solve the following simultaneous equation using Gauss Siedel methods.
X1 + 4X2 + 8X3 = 13
7X1 + 2X2 + 3X3 = 18
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Develop FDE formulation for 1-D steady state heat conduction in a slab of thickness L and energy generated q W/m3. Solve if q = 8.0 X 102 W/m3, K=20W/m K, the temperatures at the walls are 220 C inside and 2300 C outside. Take the thickness of the wall as 0.5 m and make at least five divisions.
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How to write the finite difference formulations for second order derivative using energy balance method? Write the equations for forward, backward and central difference schemes.
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What are different types of errors that occur during the discretization of PDEs? Using the Von Neumann Stability analysis, obtain the stability criterion for the explicit formulation of Parabolic equations.
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Solve the 1-D unsteady state partial differential equation using finite difference method:
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Define Vorticity. How the pressure gradient term is eliminated from the momentum equations using Vorticity – Stream Function method? What are the disadvantages of this method in determination of flow field?
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Using Vorticity and Stream function method, derive the expression for momentum equation without pressure term? What are its advantages and disadvantages compared with other methods?
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Explain the significance of Burger’s equation with examples.
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How are the compressible flows treated? Discuss the case of flow through a convergent divergent nozzle?
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What is staggered grid method? Why it is required for solving the flow field problem with SIMPLE Algorithm.
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Explain the negative Linearization of source term?
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