Electronic Journal of Differential Equations,
Conference 05 (2000), pp. 247-252.
Title: Gas--solid reaction with porosity change.
Authors: Ivar Stakgold (Univ. of Delaware, Newark, DE, USA)
Abstract:
For a gas diffusing through a porous solid and reacting with it isothermally and
irreversibly, the mathematical formulation consists of a nonlinear parabolic PDE
for the gas concentration coupled with an ODE for the solid concentration.
Under the assumption of constant porosity, a fairly complete analysis was
provided by Diaz and Stakgold, [3]. Here some of the results are extended to
the case when the porosity increases as the solid is consumed. In particular,
estimates are given for the time to full conversion of the solid when the
reaction rate is proportional to the product of the gas concentration and a
fractional power of the solid concentration.
Published October 24, 2000.
Math Subject Classifications: 35K57.
Key Words: Reaction-diffusion; Parabolic equation; Porous medium; Gas-solid reaction.