Chaotic Convection of Viscoelastic Fluid in Porous Medium Under G-Jitter
The present article aims at investigating the effect of gravity modulation on chaotic convection of a viscoelastic fluid in porous media. For this, the problem is reduced into Lorenz system (non-autonomous) by employing the truncated Galerkin expansion method. The system shows transitions from perio...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2019-03-01
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| Series: | International Journal of Applied Mechanics and Engineering |
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| Online Access: | https://www.ijame-poland.com/Chaotic-Convection-of-Viscoelastic-Fluid-in-Porous-Medium-Under-G-Jitter,166932,0,2.html |
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| author | B.S. Bhadauria A. Singh M.K. Singh |
| author_facet | B.S. Bhadauria A. Singh M.K. Singh |
| author_sort | B.S. Bhadauria |
| collection | DOAJ |
| description | The present article aims at investigating the effect of gravity modulation on chaotic convection of a viscoelastic fluid in porous media. For this, the problem is reduced into Lorenz system (non-autonomous) by employing the truncated Galerkin expansion method. The system shows transitions from periodic to chaotic behavior on increasing the scaled Rayleigh number R. The amplitude of modulation advances the chaotic nature in the system while the frequency of modulation has a tendency to delay the chaotic behavior which is in good agreement with the results due to [1]. The behavior of the scaled relaxation and retardation parameter on the system is also studied. The phase portrait and time domain diagrams of the Lorenz system for suitable parameter values have been used to analyze the system. |
| first_indexed | 2024-03-12T16:34:05Z |
| format | Article |
| id | doaj.art-03400ed2d45f4822be619a227115668b |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:34:05Z |
| publishDate | 2019-03-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-03400ed2d45f4822be619a227115668b2023-08-08T15:00:30ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032019-03-01241375110.2478/ijame-2019-0002166932Chaotic Convection of Viscoelastic Fluid in Porous Medium Under G-JitterB.S. Bhadauria0A. Singh1M.K. Singh2Department of Mathematics, School of Physical and Decisions Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, IndiaDepartment of Humanities and Applied Sciences, School of Management Sciences Gosainganj, Lucknow-, 226501, IndiaDepartment of Mathematics and Statistics, Banasthli Vidyapith Rajasthan- 304022, IndiaThe present article aims at investigating the effect of gravity modulation on chaotic convection of a viscoelastic fluid in porous media. For this, the problem is reduced into Lorenz system (non-autonomous) by employing the truncated Galerkin expansion method. The system shows transitions from periodic to chaotic behavior on increasing the scaled Rayleigh number R. The amplitude of modulation advances the chaotic nature in the system while the frequency of modulation has a tendency to delay the chaotic behavior which is in good agreement with the results due to [1]. The behavior of the scaled relaxation and retardation parameter on the system is also studied. The phase portrait and time domain diagrams of the Lorenz system for suitable parameter values have been used to analyze the system.https://www.ijame-poland.com/Chaotic-Convection-of-Viscoelastic-Fluid-in-Porous-Medium-Under-G-Jitter,166932,0,2.htmlnon-linear theorygravity modulationchaotic convection |
| spellingShingle | B.S. Bhadauria A. Singh M.K. Singh Chaotic Convection of Viscoelastic Fluid in Porous Medium Under G-Jitter International Journal of Applied Mechanics and Engineering non-linear theory gravity modulation chaotic convection |
| title | Chaotic Convection of Viscoelastic Fluid in Porous Medium Under G-Jitter |
| title_full | Chaotic Convection of Viscoelastic Fluid in Porous Medium Under G-Jitter |
| title_fullStr | Chaotic Convection of Viscoelastic Fluid in Porous Medium Under G-Jitter |
| title_full_unstemmed | Chaotic Convection of Viscoelastic Fluid in Porous Medium Under G-Jitter |
| title_short | Chaotic Convection of Viscoelastic Fluid in Porous Medium Under G-Jitter |
| title_sort | chaotic convection of viscoelastic fluid in porous medium under g jitter |
| topic | non-linear theory gravity modulation chaotic convection |
| url | https://www.ijame-poland.com/Chaotic-Convection-of-Viscoelastic-Fluid-in-Porous-Medium-Under-G-Jitter,166932,0,2.html |
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