Study of Heat and Mass Transport in Bénard-Darcy Convection with G-Jitter and Variable Viscosity Liquids in a Porous Layer with Internal Heat Source

In this research article, we investigated the weakly non-linear effect of gravity modulation for the temperature dependent viscous ﬂuid in a horizontal porous layer in the presence of internal heat source. We use power series expansion in terms of the amplitude of gravity modulation, which is consid...

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Main Authors:	A. Srivastava, B. S. Bhadauria, A. K. Singh
Format:	Article
Language:	English
Published:	Isfahan University of Technology 2018-01-01
Series:	Journal of Applied Fluid Mechanics
Subjects:	Ginzburg-Landau equation; Gravity modulation; Porous media; Temperature dependent viscosity; Double-diffusive convection; Weakly non-linear stability.
Online Access:	http://jafmonline.net/JournalArchive/download?file_ID=46613&issue_ID=250

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record_format	Article
spelling	doaj-3fa55d1895024148a2ff4e1fceb916b72020-11-25T02:46:24ZengIsfahan University of Technology Journal of Applied Fluid Mechanics1735-35722018-01-0111512171229.Study of Heat and Mass Transport in Bénard-Darcy Convection with G-Jitter and Variable Viscosity Liquids in a Porous Layer with Internal Heat SourceA. Srivastava0B. S. Bhadauria1A. K. Singh2Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, IndiaDepartment of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, IndiaDepartment of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, IndiaIn this research article, we investigated the weakly non-linear effect of gravity modulation for the temperature dependent viscous ﬂuid in a horizontal porous layer in the presence of internal heat source. We use power series expansion in terms of the amplitude of gravity modulation, which is considered to be small for double-diffusive convection in porous media. We graphically show the effect of internal heat source, solute Rayleigh number, Lewis number, Vadász number, thermo-rheological parameter, the amplitude of gravity modulation, the frequency of modulation on the heat and mass transfer using Ginzburg-Landau equation. The effect of gravity modulation is found signiﬁcant and is more effective for the low values of frequency of modulation.http://jafmonline.net/JournalArchive/download?file_ID=46613&issue_ID=250Ginzburg-Landau equation; Gravity modulation; Porous media; Temperature dependent viscosity; Double-diffusive convection; Weakly non-linear stability.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. Srivastava B. S. Bhadauria A. K. Singh
spellingShingle	A. Srivastava B. S. Bhadauria A. K. Singh Study of Heat and Mass Transport in Bénard-Darcy Convection with G-Jitter and Variable Viscosity Liquids in a Porous Layer with Internal Heat Source Journal of Applied Fluid Mechanics Ginzburg-Landau equation; Gravity modulation; Porous media; Temperature dependent viscosity; Double-diffusive convection; Weakly non-linear stability.
author_facet	A. Srivastava B. S. Bhadauria A. K. Singh
author_sort	A. Srivastava
title	Study of Heat and Mass Transport in Bénard-Darcy Convection with G-Jitter and Variable Viscosity Liquids in a Porous Layer with Internal Heat Source
title_short	Study of Heat and Mass Transport in Bénard-Darcy Convection with G-Jitter and Variable Viscosity Liquids in a Porous Layer with Internal Heat Source
title_full	Study of Heat and Mass Transport in Bénard-Darcy Convection with G-Jitter and Variable Viscosity Liquids in a Porous Layer with Internal Heat Source
title_fullStr	Study of Heat and Mass Transport in Bénard-Darcy Convection with G-Jitter and Variable Viscosity Liquids in a Porous Layer with Internal Heat Source
title_full_unstemmed	Study of Heat and Mass Transport in Bénard-Darcy Convection with G-Jitter and Variable Viscosity Liquids in a Porous Layer with Internal Heat Source
title_sort	study of heat and mass transport in bénard-darcy convection with g-jitter and variable viscosity liquids in a porous layer with internal heat source
publisher	Isfahan University of Technology
series	Journal of Applied Fluid Mechanics
issn	1735-3572
publishDate	2018-01-01
description	In this research article, we investigated the weakly non-linear effect of gravity modulation for the temperature dependent viscous ﬂuid in a horizontal porous layer in the presence of internal heat source. We use power series expansion in terms of the amplitude of gravity modulation, which is considered to be small for double-diffusive convection in porous media. We graphically show the effect of internal heat source, solute Rayleigh number, Lewis number, Vadász number, thermo-rheological parameter, the amplitude of gravity modulation, the frequency of modulation on the heat and mass transfer using Ginzburg-Landau equation. The effect of gravity modulation is found signiﬁcant and is more effective for the low values of frequency of modulation.
topic	Ginzburg-Landau equation; Gravity modulation; Porous media; Temperature dependent viscosity; Double-diffusive convection; Weakly non-linear stability.
url	http://jafmonline.net/JournalArchive/download?file_ID=46613&issue_ID=250
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Study of Heat and Mass Transport in Bénard-Darcy Convection with G-Jitter and Variable Viscosity Liquids in a Porous Layer with Internal Heat Source

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