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Computational Fluid Dynamics (October 2009)

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Total No. of Questions : 12] P1206 [Total No. of Pages : 3 [3664]-136 B.E. (Mech.) (Part - II) COMPUTATIONAL FLUID DYNAMICS Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Answers to the two sections should be written in separate books. 2) Neat diagrams must be drawn wherever necessary. 3) Figures to the right indicate full marks. 4) Assume suitable data, if necessary. SECTION - I Unit - I Q1) a) b) For model of infinitesimally small element fixed in space, obtain continuity equation and state whether it is conservation or non conservation form. [10] Write the equation of divergence of velocity with its significance. [6] OR Q2) Derive an expression for momentum equation in conservation form. [16] Unit - II Q3) For the matrix equation Ax = b, Write down the conjugate gradient algorithm for A being symmetric and positive definite. What is the strategy of using preconditioning? [16] OR Q4) For the set of following equations : a11x1 + a12x2 + a13x3 = b1 a21x1 + a22x2 + a23x3 = b2 a31x1 + a32x2 + a33x3 = b3 explain various methods to solve it. [16] P.T.O.

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Additional Info : 2003 Course
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