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23-Chem-B1 Transport Phenomena: May 2018

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

  1. Question 1 A1 — Time to drain a tank through a pipe
  2. Question 2 A2 — Average-to-maximum velocity for the 1/7-power law
  3. Question 3 B1 — Mass of oil heated per hour in a tube
  4. Question 4 B2 — Conduction in a long hollow cylinder
  5. Question 5 C1 — Gas-phase mass-transfer coefficient in a wetted-wall column
  6. Question 6 C2 — Diffusion with a surface reaction 3A → B on a catalyst

Start with Question 1 →

Paper format. EGBC 16-CHEM-B1 Transport Phenomena, May 2018, 3 hours, open-book (one textbook permitted, no loose notes). Six problems in three sections (A Fluid Mechanics, B Heat Transfer, C Mass Transfer), each worth 25 marks; candidates attempt one problem from each section plus a fourth from any section, and 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-continuity 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, tank draining, the internal-flow and wetted-wall correlations; F. P. Incropera & D. P. DeWitt, Fundamentals of Heat and Mass Transfer (Wiley) — the Sieder–Tate laminar-tube correlation and cylindrical conduction; C. J. Geankoplis, Transport Processes and Separation Process Principles (Prentice Hall) — the Gilliland–Sherwood wetted-wall correlation and diffusion with heterogeneous reaction; R. H. Perry & D. W. Green, Perry’s Chemical Engineers’ Handbook — transport properties.