Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source
Chaotic convection in a viscoelastic fluid saturated porous layer, heated from below, is studied by using Oldroyd’s type constituting relation and in the presence of an internal heat source. A modified Darcy law is used in the momentum equation, and a heat source term has been considered in energy e...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2016/1487616 |
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| author | B. S. Bhadauria |
| author_facet | B. S. Bhadauria |
| author_sort | B. S. Bhadauria |
| collection | DOAJ |
| description | Chaotic convection in a viscoelastic fluid saturated porous layer, heated from below, is studied by using Oldroyd’s type constituting relation and in the presence of an internal heat source. A modified Darcy law is used in the momentum equation, and a heat source term has been considered in energy equation. An autonomous system of fourth-order differential equations has been deduced by using a truncated Fourier series. Effect of internal heat generation on chaotic convection has been investigated. The asymptotic behavior can be stationary, periodic, or chaotic, depending upon the flow parameters. Construction of four-scroll, or “two-butterfly,” and chaotic attractor has been examined. |
| format | Article |
| id | doaj-art-983bbdc9a75646ae93c97cc14881397a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-983bbdc9a75646ae93c97cc14881397a2025-02-03T05:45:55ZengWileyJournal of Applied Mathematics1110-757X1687-00422016-01-01201610.1155/2016/14876161487616Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat SourceB. S. Bhadauria0Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, IndiaChaotic convection in a viscoelastic fluid saturated porous layer, heated from below, is studied by using Oldroyd’s type constituting relation and in the presence of an internal heat source. A modified Darcy law is used in the momentum equation, and a heat source term has been considered in energy equation. An autonomous system of fourth-order differential equations has been deduced by using a truncated Fourier series. Effect of internal heat generation on chaotic convection has been investigated. The asymptotic behavior can be stationary, periodic, or chaotic, depending upon the flow parameters. Construction of four-scroll, or “two-butterfly,” and chaotic attractor has been examined.http://dx.doi.org/10.1155/2016/1487616 |
| spellingShingle | B. S. Bhadauria Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source Journal of Applied Mathematics |
| title | Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source |
| title_full | Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source |
| title_fullStr | Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source |
| title_full_unstemmed | Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source |
| title_short | Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source |
| title_sort | chaotic convection in a viscoelastic fluid saturated porous medium with a heat source |
| url | http://dx.doi.org/10.1155/2016/1487616 |
| work_keys_str_mv | AT bsbhadauria chaoticconvectioninaviscoelasticfluidsaturatedporousmediumwithaheatsource |