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2003 Course Computational Fluid Dynamics (Elective)

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Total No. of Questions : 12] [Total No. of Pages : 2 P1355 [3864]-157 B.E. (Mechanical Sandwich) COMPUTATIONAL FLUID DYNAMICS (Elective) (2003 Course) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Assume suitable data, if required. 2) Figures to the right indicate full marks. 3) Use of calculators is allowed. SECTION - I Q1) a) What is CFD? Explain CFD methodology by giving steps in a CFD simulation. [10] b) What is substantial Derivative, explain its physical meaning? [6] OR Q2) a) Explain impact of CFD in today s engineering activity by giving minimum four practical examples. [8] b) What is divergence of velocity? Explain its physical meaning. [8] Q3) a) Solve the system of equations using Runge-Kutta method dy dz = x + yz, = x 2 y 2 subject to x0 = 0, y0 = 1 z0 = to find y&z dx dx at x = 0.2 taking h = 0.2. [8] b) Explain adaptive step size in Runge-Kutta method. [8] OR Q4) List full procedure for the solution of Blasius equation using shooting method. [16] Q5) Discuss in detail explicit and implicit approaches for obtaining solution in CFD. Also discuss advantages and disadvantages of these methods over [18] each other. P.T.O. OR Q6) a) Identify and classify the following PDE s into elliptic, parabolic, hyperbolic equations. Give one practical example for each type. [12] i) 2 = 2 t x 2 2 + =0 ii) x 2 y 2 iii) u u +c =0 t x b) List any two types of errors encountered in numerical methods. Indicate how the error occur. [6] SECTION - II Q7) Develop the solution algorithm for one dimensional transient heat conduction problem based on; [16] a) Implicit Scheme. b) Explicit Scheme. OR Q8) Develop the solution methodology for thermally developing flow inside a two dimensional channel. Assume hydrodynamically fully developed flow. [16] Q9) Develop CFD solution algorithm for subsonic-supersonic isentropic nozzle [18] flow. OR Q10) Write notes on; [18] a) Stability criteria. b) Mac-cormack method. c) Quasi-one dimensional flow. Q11) a) Explain in detail the philosophy of pressure correction method. [8] b) Write Navier-stokes equations for in compressible flow and explain each term. [8] OR Q12) Explain finite volume method for CFD. nnn [3864]-157 -2- [16]

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