Solving two-dimensional chemical engineering problems using the chebyshev orthogonal collocation technique

The present paper describes how to apply the Chebyshev orthogonal collocation technique to solve steady-state and unsteady-steady two-dimensional problems. All problems are solved using one single computer algebra, Mathematica . The problems include: (1) steady-state heat transfer in a rectangular bar, (2) steady-state flow in a rectangular duct, (2) steady-state heat transfer in a cooling cylindrical pin fin, (4) steady-state heat conduction in an annulus, (5) unsteady-state heat transfer in a rectangular bar, and finally (6) unsteady-state diffusion reaction system.Whenever possible the results obtainedwith orthogonal collocation are compared to the analytical solution in order to validate the applied numerical technique. 2015 Wiley Periodicals, Inc. Comput Appl Eng Educ 9999:1–12, 2015; View this article online at wileyonlinelibrary.com/journal/cae; DOI 10.1002/cae.21680