22-Mec-B6 Advanced Fluid Mechanics: May 2015

Paper format. National Exams, May 2015 — 07-Mec-B6 Advanced Fluid Mechanics. Three hours, OPEN BOOK, any approved Sharp or Casio calculator permitted. Six questions are printed; any five of them constitute a complete paper and each carries an equal 20 marks, with the item weights shown in the left margin. No aid sheet is bound into the paper — the open-book rule is the candidate’s table source, so the compressible-flow ratios below are quoted in closed form rather than read from a chart. All six questions are solved here.

Reference texts. Solutions follow the conventions of the texts the EGBC syllabus recommends for this subject:

• F. M. White, Fluid Mechanics, 8th ed. — potential-flow building blocks (§4.4, §8.2–8.3), turbulent flat-plate layers (§7.4), dimensional analysis (§5.2–5.4), duct flow with friction (§9.7).
• F. M. White, Viscous Fluid Flow, 3rd ed. — exact solutions of the Navier–Stokes equations and lubrication theory (§3.2, §3.9).
• J. D. Anderson, Modern Compressible Flow, 3rd ed. — quasi-one-dimensional nozzle flow, normal shocks and Fanno flow (Ch. 3 and Ch. 5).
• P. K. Kundu, I. M. Cohen & D. R. Dowling, Fluid Mechanics, 6th ed. — complex potential and plane potential flows (Ch. 6); boundary layers (Ch. 9).
• B. R. Munson et al., Fundamentals of Fluid Mechanics, 8th ed. — Buckingham Pi method and model similarity (Ch. 7).

SI units throughout. Air and mercury properties are those printed in the question; all pressures are absolute unless a gauge value is stated explicitly, which is standard Canadian practice for this examination.