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2003 Course Computational Fluid Dynamics (Elective II)

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Total No. of Questions : 12] P1119 [Total No. of Pages : 3 [3664]-147 B.E. (Mechanical S/W Engineering) COMPUTATIONAL FLUID DYNAMICS (2003 Course) (Elective - II) (402063) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) 2) 3) 4) 5) Answer any 3 questions from each section. Answers to the two sections should be written in separate books. Neat diagrams must be drawn wherever necessary. Figures to the right indicate full marks. Use of logarithmic tables, slide rule, Mollier charts, electronic pocket calculator and steam tables is allowed. SECTION - I Q1) a) Explain role of Computational Fluid Dynamics in this Modern Era. [6] b) Explain impact of CFD in following fields. i) Automobiles. ii) Industrial Manufacturing. [6] c) Explain Flow Modelling using finite control volume and infinitesimal control volume. [6] OR Q2) a) Explain what do you understand by the term substantial derivative and [10] derive its eqn. b) Explain importance of divergence of the velocity (its physical meaning) and derive its eqn. [8] Q3) a) Explain Adaptive step size control. b) Using R.K. Method solve [4] [12] d2y 64 y + 10 = 0 dx 2 Subject to conditions y(0) = y'(0) = 1 h = 1/3. Find out y(1/3) + y'(1/3) = ? OR P.T.O. Q4) a) Explain Milnes Predictor Corrector Method. [4] dy = 1 + y using Milnes Predictor Corrector Method.[12] dx y(0) = 0 h = 0.1. Find y(0.5). b) Solve the eqn Q5) a) What do you understand by the word Descritization in reference to finite difference approach? [4] b) Explain explicit method. [6] c) Use explicit method to solve for the temperature distribution of a long thin rod of 10 cm and conductivity K = 0.49 cal/s. cm C x = 2 cm and t = 0.1s. At t = 0 the temperature of the rod is zero and boundary conditions are fixed for all times at T(0) = 100 C and T(10) = 50 C. Note that the rod is aluminium with C = 0.2174 cal/g C and = 2.7g/ cm3. Thermal diffusivity = = K = 0.835 cm2/s c K t = 0.020875 ( x) 2 [6] OR Q6) a) Explain Implicit Method. [6] b) Explain difference in Implicit and Explicit Method. [6] c) Write short note on : i) Round off Error. ii) Descritization Error. [4] SECTION - II Q7) a) Write down the transient and steady state Heat conduction equations for 1D and 2D problems. Discuss the explicit formulation for 1D transient problem. Illustrate by suitable example the solution procedure for a practical problem. [10] b) Discuss the problem of thermally developing flow inside a two dimensional channel. [6] OR [3664]-147 2 Q8) Write notes on : [16] a) Practical examples of 1D 2D transient and steady state Heat conduction problems. b) Finite difference formulation of convective heat transfer problem. c) Semi-implicit scheme algorithm. Q9) a) Discuss in detail the Mac Cormack s Technique. Explain the Predictor Step and the Corrector Step. [10] b) Illustrate Mac Cormack method by a suitable example. [6] OR Q10) Explain the CFD solution Algorithm for Subsonic-Supersonic isentropic nozzle flow. [16] Q11) a) Write down the Navier-Stokes equations for Incompressible flow. b) Develop the solution algorithm using MAC formulation. c) Explain the use of staggered grid. [4] [10] [4] OR Q12) Write notes on : [18] a) SIMPLE algorithm. b) Finite volume method. c) Stability considerations. [3664]-147 3

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