Paper format. National Exams, May 2014 — 07-Mec-B6
Advanced Fluid Mechanics. Three hours, open book, any non-communicating
calculator permitted. Part A holds four questions and the candidate answers any three of them
(42 per cent of the paper, so 14 marks each); Part B holds three questions and the
candidate answers any two (58 per cent, so 29 marks each). All seven questions
are worked here.
The paper supplies an aid sheet of compressible-flow, boundary-layer, Navier–Stokes and
potential-flow relations; the skin-friction coefficients used below are taken from that sheet
(not from the Blasius/White constants a textbook would give) 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 and plate drag), Ch. 8 (potential flow), Ch. 9 (compressible
flow, Fanno line, normal shocks).
- F. M. White, Viscous Fluid Flow, 3rd ed. — Ch. 3 (exact solutions of the
Navier–Stokes equations, annular Couette flow), Ch. 6 (turbulent wall flow).
- J. D. Anderson, Modern Compressible Flow, 3rd ed. — Ch. 3 (normal shock
waves), Ch. 5 (quasi-one-dimensional nozzle and diffuser flow).
- P. K. Kundu, I. M. Cohen and D. R. Dowling, Fluid Mechanics, 6th ed. —
Ch. 6 (irrotational flow, method of images), Ch. 9 (laminar internal flow).
- H. Schlichting and K. Gersten, Boundary-Layer Theory, 8th ed. — Ch. 21
(plate drag with a mixed laminar/turbulent boundary layer).
- R. W. Fox, A. T. McDonald and J. W. Mitchell, Introduction to Fluid Mechanics,
10th ed. — Ch. 7 (similitude and model testing), Ch. 13 (compressible flow with
friction).
