22-Mec-B6 Advanced Fluid Mechanics: May 2013

Paper format. National Exams, May 2013 — 07-Mec-B6 Advanced Fluid Mechanics. Three hours, open book, any non-communicating calculator permitted. Part A holds three questions of 20 marks each (40 per cent of the paper) and Part B three questions of 30 marks each (60 per cent); the candidate answers any two in each part. All six questions are worked here, because the set is a study resource rather than a three-hour sitting. The paper supplies an aid sheet of compressible-flow, boundary-layer, Navier–Stokes and potential-flow relations, and the coefficients quoted below are taken from that sheet so that the arithmetic matches what a candidate had in front of them.

Reference texts.

• F. M. White, Fluid Mechanics, 8th ed. — Ch. 5 (dimensional analysis and similitude), Ch. 7 (external flow), Ch. 8 (potential flow), Ch. 9 (compressible flow), Ch. 10 (open-channel flow).
• F. M. White, Viscous Fluid Flow, 3rd ed. — Ch. 3 (exact solutions of the Navier–Stokes equations), Ch. 6 (turbulent wall flow).
• J. D. Anderson, Modern Compressible Flow, 3rd ed. — Ch. 3 (normal shock waves), Ch. 5 (quasi-one-dimensional nozzle flow).
• P. K. Kundu, I. M. Cohen and D. R. Dowling, Fluid Mechanics, 6th ed. — Ch. 6 (irrotational flow), Ch. 9 (laminar flow).
• H. Schlichting and K. Gersten, Boundary-Layer Theory, 8th ed. — Ch. 21 (plate drag, mixed laminar/turbulent layers).
• R. W. Fox, A. T. McDonald and J. W. Mitchell, Introduction to Fluid Mechanics, 10th ed. — Ch. 7 (similitude), Ch. 11 (open-channel flow).