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| Content Provider | Springer Nature Link |
|---|---|
| Author | Hayek, Mohamed |
| Copyright Year | 2014 |
| Abstract | Attempts have been made to find exact solutions for the one-dimensional transient gas flow equation in porous media. By introducing a traveling wave variable, a traveling wave solution of the gas flow equation has been found. The traveling wave solution is presented in an explicit form of the space and time variables, and it takes into account both gravity and Klinkenberg effects (pressure-dependent permeability). We investigated the properties of the traveling wave solution and the effect of some parameters such as the Klinkenberg coefficient. A numerical study has been carried out, which confirms the stability of the traveling wave solution. The traveling wave solution is then used to derive two benchmark solutions defined over the semi-infinite domain. The first one assumes uniform initial gas pressure and non-uniform boundary condition, and the second assumes uniform boundary condition and non-uniform initial distribution of the gas pressure. The benchmark solutions are easy to use and are useful for validating numerical solutions. Two illustrative examples are presented in order to compare the benchmark solutions with the numerical solutions. The results show good agreements between the solutions. |
| Starting Page | 403 |
| Ending Page | 417 |
| Page Count | 15 |
| File Format | |
| ISSN | 01693913 |
| Journal | Transport in Porous Media |
| Volume Number | 107 |
| Issue Number | 2 |
| e-ISSN | 15731634 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2014-12-27 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Gas flow through porous media Klinkenberg effects Traveling wave Exact benchmark solution Nonlinear equation Validation Geotechnical Engineering & Applied Earth Sciences Industrial Chemistry/Chemical Engineering Hydrology/Water Resources Civil Engineering Hydrogeology Classical Continuum Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Catalysis |
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