Consider the case of unsteady diffusion of heat and mass in the presence of a first-order reaction. With a suitable choice of dimensionless variables, this system leads to the set of coupled partial differential equations

where β, γ , and φ are the activation energy, Prater number, and Thiele modulus. Assume that you know all of the dimensionless numbers. We want to solve this system of equations using interleaved variables of the form

using the method of lines, centered finite differences, and implicit Euler. Determine the non-zero entries in the fourth line of the Jacobian.

Transcribed Image Text:

ас at a2c ах2 - фе-вiт с -