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23-Chem-B1 Transport Phenomena: December 2016

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 A1 — Turbulent pipe flow from a pressure gradient
  2. Question 2 A2 — Axial drag flow in an annulus (moving rod)
  3. Question 3 B1 — Counterflow double-pipe exchanger sizing and rating
  4. Question 4 B2 — Maximum temperature in a nuclear fuel rod
  5. Question 5 C1 — Evaporation of a water spill through a stagnant air film
  6. Question 6 C2 — Diffusion equation in spherical coordinates

Start with Question 1 →

Paper format. EGBC 04-CHEM-B1 Transport Phenomena, December 2016, 3 hours, open-book. Six problems in three sections (A Fluid Mechanics, B Heat Transfer, C Mass Transfer); candidates attempt one from each section plus a fourth (four of six at 25 marks each, only the first four in the answer book are marked). All six problems are solved below as a complete study resource. Appendix A of the paper supplies the equations of change (continuity, Navier–Stokes, energy and species tables) in rectangular, cylindrical and spherical coordinates — these are quoted rather than re-derived.

Reference texts: R. B. Bird, W. E. Stewart & E. N. Lightfoot, Transport Phenomena (2nd ed., Wiley) — the equations of change and the differential momentum / energy / species balances; J. R. Welty, C. E. Wicks, R. E. Wilson & G. L. Rorrer, Fundamentals of Momentum, Heat and Mass Transfer (Wiley) — pipe friction, internal-flow heat transfer and film mass transfer; F. P. Incropera & D. P. DeWitt, Fundamentals of Heat and Mass Transfer (Wiley) — the log-mean-temperature-difference and effectiveness–NTU methods; R. H. Perry & D. W. Green, Perry’s Chemical Engineers’ Handbook (9th ed.) — transport properties and the Colebrook friction correlation.