Throughflow and G-jitter effects on chaotic convection in an anisotropic porous medium
The present article is to investigate the effect of various parameters on chaotic convection in an anisotropic porous medium under gravity modulation. For this, the problem is reduced into Lorenz system (non-autonomous) by employing truncated Galerkin expansion method. It is found that the system sh...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-12-01
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| Series: | Ain Shams Engineering Journal |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447917300254 |
| _version_ | 1818622362399014912 |
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| author | B.S. Bhadauria Ajay Singh |
| author_facet | B.S. Bhadauria Ajay Singh |
| author_sort | B.S. Bhadauria |
| collection | DOAJ |
| description | The present article is to investigate the effect of various parameters on chaotic convection in an anisotropic porous medium under gravity modulation. For this, the problem is reduced into Lorenz system (non-autonomous) by employing truncated Galerkin expansion method. It is found that the system shows either chaotic or periodic nature for suitable values of scaled Rayleigh number. The influence of amplitude of modulation is to advance the chaotic nature in the system while that of frequency of modulation has tendency to delay the chaotic behaviour. The effects of Péclet number and anisotropic parameters on the chaotic system are also studied and found these are delay the chaotic nature. The phase portrait and time domain diagrams of the Lorenz system for suitable parametric values has been used to analysed the system. Finally, we conclude that the system has either chaotic or periodic solution depending upon the values of the parameters. Keywords: Non-linear theory, Gravity modulation, Chaos theory, Throughflow |
| first_indexed | 2024-12-16T18:23:58Z |
| format | Article |
| id | doaj.art-29b1d51396f940e3bae7b215a4ebe3f6 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-12-16T18:23:58Z |
| publishDate | 2018-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-29b1d51396f940e3bae7b215a4ebe3f62022-12-21T22:21:28ZengElsevierAin Shams Engineering Journal2090-44792018-12-019419992013Throughflow and G-jitter effects on chaotic convection in an anisotropic porous mediumB.S. Bhadauria0Ajay Singh1Corresponding author at: Department of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, India.; Department of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, IndiaDepartment of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, IndiaThe present article is to investigate the effect of various parameters on chaotic convection in an anisotropic porous medium under gravity modulation. For this, the problem is reduced into Lorenz system (non-autonomous) by employing truncated Galerkin expansion method. It is found that the system shows either chaotic or periodic nature for suitable values of scaled Rayleigh number. The influence of amplitude of modulation is to advance the chaotic nature in the system while that of frequency of modulation has tendency to delay the chaotic behaviour. The effects of Péclet number and anisotropic parameters on the chaotic system are also studied and found these are delay the chaotic nature. The phase portrait and time domain diagrams of the Lorenz system for suitable parametric values has been used to analysed the system. Finally, we conclude that the system has either chaotic or periodic solution depending upon the values of the parameters. Keywords: Non-linear theory, Gravity modulation, Chaos theory, Throughflowhttp://www.sciencedirect.com/science/article/pii/S2090447917300254 |
| spellingShingle | B.S. Bhadauria Ajay Singh Throughflow and G-jitter effects on chaotic convection in an anisotropic porous medium Ain Shams Engineering Journal |
| title | Throughflow and G-jitter effects on chaotic convection in an anisotropic porous medium |
| title_full | Throughflow and G-jitter effects on chaotic convection in an anisotropic porous medium |
| title_fullStr | Throughflow and G-jitter effects on chaotic convection in an anisotropic porous medium |
| title_full_unstemmed | Throughflow and G-jitter effects on chaotic convection in an anisotropic porous medium |
| title_short | Throughflow and G-jitter effects on chaotic convection in an anisotropic porous medium |
| title_sort | throughflow and g jitter effects on chaotic convection in an anisotropic porous medium |
| url | http://www.sciencedirect.com/science/article/pii/S2090447917300254 |
| work_keys_str_mv | AT bsbhadauria throughflowandgjittereffectsonchaoticconvectioninananisotropicporousmedium AT ajaysingh throughflowandgjittereffectsonchaoticconvectioninananisotropicporousmedium |