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23-Chem-B1 Transport Phenomena: December 2019

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

  1. Question 1 A1 — Flow in a slightly tapered tube
  2. Question 2 A2 — Discharge from a reservoir through a pipe system
  3. Question 3 B1 — Semicircular-tube air heater (radiation + convection)
  4. Question 4 B2 — Initial cooling rate of a heated aluminium plate
  5. Question 5 C1 — Film-model dissolution with an instantaneous reaction
  6. Question 6 C2 — Deriving the diffusion equation in spherical coordinates

Start with Question 1 →

Paper format. 16-Chem-B1 Transport Phenomena, December 2019 — open-book, 3 hours, six problems (25 marks each) in three sections: A Fluid Mechanics (A1, A2), B Heat Transfer (B1, B2), C Mass Transfer (C1, C2). The rubric asks the candidate to attempt one problem from each section plus a fourth; all six are worked here as a complete study resource. Pages 9–12 of the paper are an appendix of the equations of change (continuity, Navier–Stokes, energy, species) and are used as the reference tables 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 film/annular differential balances (A1, C1, C2); J. R. Welty, C. E. Wicks, R. E. Wilson & G. L. Rorrer, Fundamentals of Momentum, Heat and Mass Transfer (Wiley) — pipe friction, the Moody chart and the internal-/external-flow convection correlations (A2, B1, B2); F. P. Incropera & D. P. DeWitt, Fundamentals of Heat and Mass Transfer (8th ed., Wiley) — radiation enclosures, Dittus–Boelter, Churchill–Chu natural convection and air properties (B1, B2); C. J. Geankoplis, Transport Processes and Separation Process Principles (Prentice Hall) — the film model for diffusion with reaction (C1); R. H. Perry & D. W. Green, Perry’s Chemical Engineers’ Handbook — transport properties of air and water.