JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech III COMPUTATIONAL AERODYNAMICS Previous Question Paper (December - 2018 - R15)
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.
Part A
Write the continuity equation in differential conservation form.
Answer
The continuity equation in differential conservation form for a fluid flow is given by:
where ρ is the density and V is the velocity vector.
What is the difference between shock capturing and shock fitting approach?
Answer
In shock capturing, the shock wave is treated as part of the flow field and is captured automatically by the governing equations without explicit boundary conditions. In shock fitting, the shock is treated as a sharp discontinuity, and explicit jump conditions (Rankine-Hugoniot relations) are applied at the shock interface, which is tracked as a boundary.
Write any equation which exhibits elliptic nature.
Answer
Sign in to view the complete answer paper.
What is zone of silence, zone of influence and zone of action?
Answer
Sign in to view the complete answer paper.
What are the limitations of finite difference discretization technique?
Answer
Sign in to view the complete answer paper.
Explain the physical significance of CFL stability criteria.
Answer
Sign in to view the complete answer paper.
What are the advantages of finite volume method?
Answer
Sign in to view the complete answer paper.
Mention the different ways of profile assumption of the dependant variable for evaluating the integrals in finite volume method?
Answer
Sign in to view the complete answer paper.
What is numerical dissipation?
Answer
Sign in to view the complete answer paper.
Explain the need for a staggered grid.
Answer
Sign in to view the complete answer paper.
Part B
What is the implication of conservation and non-conservation forms on CFD applications?
Answer
Sign in to view the complete answer paper.
What are various boundary conditions possible in CFD?
Answer
Sign in to view the complete answer paper.
Derive the momentum equation for three dimensional compressible viscous flows.
Answer
Sign in to view the complete answer paper.
Explain the classification of quasi-linear partial differential equations using Cramer’s rule with an example.
Answer
Sign in to view the complete answer paper.
Discuss about the mathematical behavior of the PDE’s governed by hyperbolic nature with two examples.
Answer
Sign in to view the complete answer paper.
An explicit scheme for solving the first order wave equation is given by
Answer
Sign in to view the complete answer paper.
What are the basic requirements of any discretization?
Answer
Sign in to view the complete answer paper.
Derive the second order accurate finite difference for the derivative ∂ui/∂xj.
Answer
Sign in to view the complete answer paper.
Explain about the cell-centered and cell-vertex approaches with an example.
Answer
Sign in to view the complete answer paper.
Show the finite volume formulation for a 1-D unsteady heat conduction equation with a constant source term.
Answer
Sign in to view the complete answer paper.
The continuity equation is given as
Answer
Sign in to view the complete answer paper.
Show the Lax-Wendroff technique implementation for 1-D in viscid Burgers equation.
Answer
Sign in to view the complete answer paper.