Chaotic Convection of Viscoelastic Fluid in Porous Medium Under G-Jitter
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Department of Mathematics, School of Physical and Decisions Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, India
Department of Humanities and Applied Sciences, School of Management Sciences Gosainganj, Lucknow-, 226501, India
Department of Mathematics and Statistics, Banasthli Vidyapith Rajasthan- 304022, India
Online publication date: 2019-03-12
Publication date: 2019-03-01
International Journal of Applied Mechanics and Engineering 2019;24(1):37-51
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.
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