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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| Format: | Article |
| Language: | English |
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Texas State University
2000-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/05/s2/abstr.html |
| _version_ | 1811248589140131840 |
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| author | Ivar Stakgold |
| author_facet | Ivar Stakgold |
| author_sort | Ivar Stakgold |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-12T15:31:51Z |
| format | Article |
| id | doaj.art-d73c545a472441ff9ec2e9ecff8e1d7f |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T15:31:51Z |
| publishDate | 2000-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-d73c545a472441ff9ec2e9ecff8e1d7f2022-12-22T03:27:06ZengTexas 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. |
| spellingShingle | Ivar Stakgold Gas-solid reaction with porosity change Electronic Journal of Differential Equations Reaction-diffusion Parabolic equation Porous medium Gas-solid reaction. |
| title | 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_short | Gas-solid reaction with porosity change |
| title_sort | gas solid reaction with porosity change |
| 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 |