22-Mec-B6 Advanced Fluid Mechanics: Undated paper

Paper format. National Exams, May 2019 — printed code 16-Mec-A6 Advanced Fluid Mechanics (the cover page and every running header read 16-Mec-A6, May 2019). Three hours, OPEN BOOK, any approved Sharp or Casio calculator permitted. Six questions are printed; any five of them constitute a complete paper for 100 marks, each question carries an equal 20 marks, and the item weights are printed in the left margin. No aid sheet is bound into the paper — the open-book rule is the candidate’s table source, so every compressible-flow ratio below is 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. — control-volume momentum (§3.4), potential-flow building blocks (§4.4, §8.2–8.3), dimensional analysis and modelling (§5.2–5.4), turbulent flat-plate layers (§7.4), isentropic and normal-shock relations (§9.3–9.5).
• J. D. Anderson, Modern Compressible Flow, 3rd ed. — quasi-one-dimensional nozzle flow and normal shocks (Ch. 3 and Ch. 5).
• F. M. White, Viscous Fluid Flow, 3rd ed. — exact solutions of the Navier–Stokes equations (§3.2).
• 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).
• R. W. Fox, A. T. McDonald & J. W. Mitchell, Introduction to Fluid Mechanics, 10th ed. — momentum analysis of pipe bends (Ch. 4) and similitude (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. Water and air properties not printed in the paper are taken from the standard Canadian-edition property tables at the stated temperatures, and each such value is named where it is used.