Abstract
As a gas diffuses through a porous solid, a reaction takes place between the gas and a species of the solid. The mathematical formulation consists of a coupled PDE and ODE. The reaction rate is taken as proportional C p S m, where C and S are the respective concentrations of the gas and reacting solid species. The case of constant porosity has been studied by Diaz and Stakgold [2], but here some of the results are extended to the case where the porosity increases as the solid is consumed. When m < 1 the solid is fully consumed in a finite time T. The principal goal of this paper is to obtain estimates for T.
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© 2001 Kluwer Academic Publishers
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Stakgold, I. (2001). Full Conversion in Gas-Solid Reactions. In: Vajravelu, K. (eds) Differential Equations and Nonlinear Mechanics. Mathematics and Its Applications, vol 528. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0277-3_24
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DOI: https://doi.org/10.1007/978-1-4613-0277-3_24
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-7923-6867-0
Online ISBN: 978-1-4613-0277-3
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