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Chaotic Convection of Viscoelastic Fluid in Porous Medium Under G-Jitter

Authors :
B.S. Bhadauria
A. Singh
M.K. Singh
Source :
International Journal of Applied Mechanics and Engineering, Vol 24, Iss 1, Pp 37-51 (2019)
Publication Year :
2019
Publisher :
University of Zielona Góra, 2019.

Abstract

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.

Details

Language :
English
ISSN :
17344492 and 23539003
Volume :
24
Issue :
1
Database :
Directory of Open Access Journals
Journal :
International Journal of Applied Mechanics and Engineering
Publication Type :
Academic Journal
Accession number :
edsdoj.03400ed2d45f4822be619a227115668b
Document Type :
article
Full Text :
https://doi.org/10.2478/ijame-2019-0002