Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media
The present paper analytically discusses the phenomenon of fingering in double phase flow through homogenous porous media by using variational iteration method. Fingering phenomenon is a physical phenomenon which occurs when a fluid contained in a porous medium is displaced by another of lesser visc...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/470174 |
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| _version_ | 1832548786013995008 |
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| author | Piyush R. Mistry Vikas H. Pradhan Khyati R. Desai |
| author_facet | Piyush R. Mistry Vikas H. Pradhan Khyati R. Desai |
| author_sort | Piyush R. Mistry |
| collection | DOAJ |
| description | The present paper analytically discusses the phenomenon of fingering in double phase flow through homogenous porous media by using variational iteration method. Fingering phenomenon is a physical phenomenon which occurs when a fluid contained in a porous medium is displaced by another of lesser viscosity which frequently occurred in problems of petroleum technology. In the current investigation a mathematical model is presented for the fingering phenomenon under certain simplified assumptions. An approximate analytical solution of the governing nonlinear partial differential equation is obtained using variational iteration method with the use of Mathematica software. |
| format | Article |
| id | doaj-art-d022c36fa8184c6da8b019391f4527f2 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-d022c36fa8184c6da8b019391f4527f22025-02-03T06:13:10ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/470174470174Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous MediaPiyush R. Mistry0Vikas H. Pradhan1Khyati R. Desai2Department of Applied Mathematics & Humanities, S.V.N.I.T., Surat 395007, IndiaDepartment of Applied Mathematics & Humanities, S.V.N.I.T., Surat 395007, IndiaDepartment of Applied Mathematics & Humanities, S.V.N.I.T., Surat 395007, IndiaThe present paper analytically discusses the phenomenon of fingering in double phase flow through homogenous porous media by using variational iteration method. Fingering phenomenon is a physical phenomenon which occurs when a fluid contained in a porous medium is displaced by another of lesser viscosity which frequently occurred in problems of petroleum technology. In the current investigation a mathematical model is presented for the fingering phenomenon under certain simplified assumptions. An approximate analytical solution of the governing nonlinear partial differential equation is obtained using variational iteration method with the use of Mathematica software.http://dx.doi.org/10.1155/2013/470174 |
| spellingShingle | Piyush R. Mistry Vikas H. Pradhan Khyati R. Desai Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media The Scientific World Journal |
| title | Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media |
| title_full | Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media |
| title_fullStr | Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media |
| title_full_unstemmed | Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media |
| title_short | Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media |
| title_sort | mathematical model and solution for fingering phenomenon in double phase flow through homogeneous porous media |
| url | http://dx.doi.org/10.1155/2013/470174 |
| work_keys_str_mv | AT piyushrmistry mathematicalmodelandsolutionforfingeringphenomenonindoublephaseflowthroughhomogeneousporousmedia AT vikashpradhan mathematicalmodelandsolutionforfingeringphenomenonindoublephaseflowthroughhomogeneousporousmedia AT khyatirdesai mathematicalmodelandsolutionforfingeringphenomenonindoublephaseflowthroughhomogeneousporousmedia |