Chaotic Convection of Viscoelastic Fluid in Porous Medium Under G-Jitter-Reference-Cited by-同舟云学术

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

Published:2019-03-01 Issue:1 Volume:24 Page:37-51
ISSN:2353-9003
Container-title:International Journal of Applied Mechanics and Engineering
language:en
Short-container-title:

Author:

Bhadauria B.S.¹,Singh A.²,Singh M.K.³

Affiliation:

1. Department of Mathematics , School of Physical and Decisions Sciences , Babasaheb Bhimrao Ambedkar University , Lucknow -226025, India

2. Department of Humanities and Applied Sciences , School of Management Sciences Gosainganj, Lucknow - 226501 , India

3. Department of Mathematics and Statistics , Banasthli Vidyapith Rajasthan- 304022 , India

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Fluid Flow and Transfer Processes,Transportation,Civil and Structural Engineering

Link

https://www.sciendo.com/pdf/10.2478/ijame-2019-0002

Reference31 articles.

1. [1] Bhadauria B.S. and Kiran P. (2015): Chaotic and oscillatory magneto-convection in a binary viscoelastic fluid under G-jitter. – Int. J. Heat Mass Transf., vol.84, pp.610-624.

2. [2] Ingham D.B. and Pop I. (2005): Transport Phenomena in Porous Media. – 1st Edn., vol.3, Elsevier, Oxford.

3. [3] Nield D.A. and Bejan A. (2006): Convection in Porous Media. – 3rd Edn. New York: Springer.

4. [4] Vafai K. (2000): Handbook of Porous Media. – New York: Marcel Dekker.

5. [5] Gresho P.M. and Sani R. (1970): The effects of gravity modulation on the stability of a heated fluid layer. – J. Fluid Mech., vol.40, pp.783-806.

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Heat and Mass Transfer, and Chaotic Convection in Nanofluids;Journal of Nanofluids;2023-05-01

2. Nonlinear analysis for thermal convection in Oldroyd-B nanofluids with zero nanoparticle flux on the boundaries;Indian Journal of Physics;2022-07-20

3. A numerical study of heat and mass transfer in a Darcy porous medium saturated with a couple stress fluid under rotational modulation;Applied Mathematical Modelling;2022-04

4. Intricacies of coupled molecular diffusion on double diffusive viscoelastic porous convection;Results in Applied Mathematics;2020-08

5. Absolute control of chaotic responses in Robbins disc dynamo;The European Physical Journal Plus;2020-03