Gas-solid reaction with porosity change

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 an...

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Main Author: Ivar Stakgold
Format: Article
Language:English
Published: Texas State University 2000-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/05/s2/abstr.html
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spelling doaj-d73c545a472441ff9ec2e9ecff8e1d7f2020-11-25T02:19:44ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912000-10-01Conference05247252Gas-solid reaction with porosity changeIvar StakgoldFor 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. http://ejde.math.txstate.edu/conf-proc/05/s2/abstr.htmlReaction-diffusionParabolic equationPorous mediumGas-solid reaction.
collection DOAJ
language English
format Article
sources DOAJ
author Ivar Stakgold
spellingShingle Ivar Stakgold
Gas-solid reaction with porosity change
Electronic Journal of Differential Equations
Reaction-diffusion
Parabolic equation
Porous medium
Gas-solid reaction.
author_facet Ivar Stakgold
author_sort Ivar Stakgold
title Gas-solid reaction with porosity change
title_short Gas-solid reaction with porosity change
title_full Gas-solid reaction with porosity change
title_fullStr Gas-solid reaction with porosity change
title_full_unstemmed Gas-solid reaction with porosity change
title_sort gas-solid reaction with porosity change
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2000-10-01
description 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.
topic Reaction-diffusion
Parabolic equation
Porous medium
Gas-solid reaction.
url http://ejde.math.txstate.edu/conf-proc/05/s2/abstr.html
work_keys_str_mv AT ivarstakgold gassolidreactionwithporositychange
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