Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams — May 2017 — 12-MTL-A2 Transport Phenomena in Materials Engineering. Three-hour, open-book exam (one textbook of the candidate's choice permitted, no loose notes); any non-communicating calculator permitted. Each of the five questions is worth 25 points, and any four constitute a complete paper — only the first four questions as they appear in the answer book are marked. All five are solved below for completeness. Candidates were told to state all assumptions clearly.
Reference texts: Welty, J. R., Wicks, C. E., Wilson, R. E. & Rorrer, G. L., Fundamentals of Momentum, Heat and Mass Transfer — pipe-friction/Moody-chart methodology (Question 1) and differential-balance derivations (Question 5); Levenspiel, O., Chemical Reaction Engineering — residence-time-distribution moments and the tanks-in-series model (Question 2); Geiger, G. H. & Poirier, D. R., Transport Phenomena in Materials Processing — radiative/convective solidification analysis and the Wiedemann–Franz–Lorenz relation (Question 3); Incropera, F. P. et al., Fundamentals of Heat and Mass Transfer — Biot number and lumped-capacitance criteria (Question 3); Ashby, M. F., Materials Selection in Mechanical Design — thermal-property material-selection charts (Question 4); Geankoplis, C. J., Transport Processes and Separation Process Principles — steady-state Fickian diffusion through a cylindrical tube wall (Question 5).