Paper format. National Exams, December 2016 —
07-Mec-B6 Advanced Fluid Mechanics. Three hours, OPEN BOOK, any approved
Sharp or Casio calculator permitted. Six questions are printed; page 1 states that any five
of them constitute a complete paper for 100 marks, each question carries an equal 20 marks, and the
item weights are shown 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 off a chart. All six questions are solved here.
Reference texts. The 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), rigid-body motion of a fluid (§2.9), flow in
non-circular ducts and minor losses (§6.6–6.7), dimensional analysis
(§5.2–5.4), the momentum integral (§7.4), compressible nozzle flow and normal
shocks (§9.4–9.6).
- F. M. White, Viscous Fluid Flow, 3rd ed. — exact Navier–Stokes solutions in
cylindrical coordinates (§3.2–3.4) and integral boundary-layer methods
(§4.5).
- J. D. Anderson, Modern Compressible Flow, 3rd ed. — quasi-one-dimensional nozzle
flow, choking and normal shocks (Ch. 3, §3.3 and §3.6).
- P. K. Kundu, I. M. Cohen & D. R. Dowling, Fluid Mechanics, 6th ed. — the
complex potential and elementary singularities (Ch. 6); boundary layers (Ch. 9).
- H. Schlichting & K. Gersten, Boundary-Layer Theory, 9th ed. —
Kármán–Pohlhausen integral method for accelerating external flows
(Ch. 8).
- R. W. Fox, A. T. McDonald & J. W. Mitchell, Introduction to Fluid Mechanics,
10th ed. — the repeating-variable procedure and pipe-system energy accounting
(Ch. 7, Ch. 8).
