Numerical dynamic simulation of solid-fluid reactions in isothermal porous spheres (Q1062872)

The method of lines strategy is described in detail for the problem with two solid reactants and one fluid reactant. In a moderately steep case, the solution of the coupled time-dependent equations is shown to be more than 100 times faster than solution by alternate application of a two- point boundary-value problem solver to the pseudo-steady state fluid equations and explicit integration of the temporal solid equations. In very steep cases, the solution of the time-dependent equations is accomplished economically, while the alternative method failed to produce acceptable solutions.