22-Mec-B6 Advanced Fluid Mechanics: December 2014

Paper format. National Exams, December 2014 — 07-Mec-B6 Advanced Fluid Mechanics. Three hours, OPEN BOOK, any non-communicating calculator permitted. Five questions are printed; candidates answer any four and all questions are equally weighted, so each question carries 25 of the 100 marks. A four-page aid sheet (compressible flow, boundary-layer integral relations, the Navier–Stokes equations in Cartesian and cylindrical-polar form, and potential-flow building blocks) is bound into the paper; every relation used below is taken from it. All five 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 and images (§8.3–8.5), turbulent flat-plate layers (§7.4), turbomachinery similarity (§11.3–11.5).
• F. M. White, Viscous Fluid Flow, 3rd ed. — exact solutions of the Navier–Stokes equations in annular geometry (§3.2–3.3).
• J. D. Anderson, Modern Compressible Flow, 3rd ed. — quasi-one-dimensional nozzle flow and normal shocks (Ch. 3 and Ch. 5).
• P. K. Kundu, I. M. Cohen & D. R. Dowling, Fluid Mechanics, 6th ed. — complex potential, Blasius theorem and image forces (Ch. 6).
• R. W. Fox et al., Introduction to Fluid Mechanics, 10th ed. — entrance-region and duct-flow treatment (Ch. 8).

SI units throughout; air and water properties are those printed in the question, and Canadian practice (SI, absolute pressures stated explicitly) is followed.