Course Number: CHE 312 Course Title: Heat and mass transfer Calendar Term(s): Winter Credit Weight: 0.5 Hours per week: 3 Lec, 1 Tut Calendar Description:

Review of ordinary differential equations. Analytical solution of partial differential equations using separation of variables and Laplace transforms. Fundamentals of conductive heat transfer. Microscopic energy balance. Steady state heat conduction : 1D and 2D problems. Transient heat conduction: 1D problems. Fundamentals of mass transfer by molecular diffusion. Microscopic mass balance. Steady-state diffusion: 1D and 2D problems. Transient diffusion: 1D problems. Heat-mass transfer analogies

Prerequisite: CEAB Math: CEAB Basic Sc.: CEAB Eng. Sc.: CEAB Eng. Dgn.: CEAB CSE: Instructor(s): Aiping Yu Textbook: “Fundamentals of Momentum, Heat & Mass Transfer”, Wiley (2008);

ISBN: 978-0470128688, “Fundamentals of Heat and Mass Transfer”, Wiley, 5th ISBN: 0-471-386502;

Software: Matlab Resources needs: Weekly Description of Topics Covered Week 1 Fundamentals of heat transfer: conduction, Fourier’s law and thermal

conductivity; heat transfer by convection and radiation.

Week 2 Differential form of the energy equation for solids and incompressible fluids.

Week 3 Development and solution of 1-D, steady heat transport models leading to ODE problems in Cartesian, cylindrical and spherical geometries; Bessel functions.

Week 4 Development and solution of steady 2-D heat transfer leading to PDE problems in Cartesian, cylindrical and spherical geometries; Solve PDE: Separation of variables, combination of variables, Fourier transform

Week 5 Development and solution of unsteady 1D heat transport models leading to PDE problems in Cartesian, cylindrical and spherical geometries; Solve PDE: Laplace transform, Error function

Week 6 Solution of unsteady 1D heat transport, Heissler charts, Review heat transfer

Week 7 Fundamentals of mass transfer: definitions of species concentration, velocity and flux; species transport by diffusion and convection; Fick’s law and molecular diffusion coefficient.

Week 8 Development of the differential form of mass conservation laws for mixtures; special cases; boundary conditions.

Week 9 Development and solution of 1-D, steady mass transport models leading to ODE problems in Cartesian, cylindrical and spherical geometries;

Week 10 Development and solution of steady 2-D and unsteady 1D mass transport models leading to PDE problems in Cartesian, cylindrical and spherical geometries;

Week 11 Sturm-Liouville theory; Review mass transfer

Week 12 Heat and mass transport analogies; dimensionless numbers,

Examination type:

Midterm: close book Final: close book

Marking Scheme:

Assignments: 20% Quizzes:

Labs: Midterm exam: 20%

Final exam: 60% Special marking rule:

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