Numerical Elucidation of Three-Dimensional Problems in the Chemical Engineering Graduate Curriculum

摘要

We illustrate in the present paper how steady-state and unsteady-steady three-dimensional transport phenomena problems can be solved using the Chebyshev orthogonal collocation technique. All problems are elucidated using the ubiquitous software: MATLAB (R). The treated case studies include: (1) unsteady-state heat conduction in a parallelepiped body, (2) quenching of a brick, (3) transient diffusion of a colorant in a liquid, and (4) steady-state natural convection in an enclosure. Whenever possible, the results obtained with the spectral method are bench-marked against the analytical solution in order to validate the proposed numerical technique. (C) 2016 Wiley Periodicals, Inc.