Analytical and numerical investigation of heat and mass transfer effects on magnetohydrodynamic natural convective flow past a vertical porous plate

The aim of this investigation is to study the effect of hall current on an unsteady natural convective flow of a viscous, incompressible, electrically conducting optically thick radiating fluid past a vertical porous plate in the presence of a uniform transverse magnetic field. The Rosseland diffusi...

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Main Authors: Srinivasa Raju Rallabandi, Anitha G, Jithender Reddy G
Format: Article
Language:English
Published: Semnan University 2017-10-01
Series:Journal of Heat and Mass Transfer Research
Subjects:
Online Access:https://jhmtr.semnan.ac.ir/article_2633_7e8a71c479ed92604667c739e19e1592.pdf
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author Srinivasa Raju Rallabandi
Anitha G
Jithender Reddy G
author_facet Srinivasa Raju Rallabandi
Anitha G
Jithender Reddy G
author_sort Srinivasa Raju Rallabandi
collection DOAJ
description The aim of this investigation is to study the effect of hall current on an unsteady natural convective flow of a viscous, incompressible, electrically conducting optically thick radiating fluid past a vertical porous plate in the presence of a uniform transverse magnetic field. The Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. Analytical and numerical solutions of the coupled governing partial differential equations for the fluid velocity, fluid temperature and fluid concentration profiles are obtained by perturbation and finite element techniques respectively. The effects of the various dimensionless engineering parameters viz., Grashof number for heat and mass transfer, Magnetic field parameter, Prandtl number, Schmidt number, Thermal radiation parameter and Hall parameter entering into the problem on the primary and secondary velocities, temperature and concentration profiles throughout the boundary layer are investigated through graphs. The expressions of skin-friction, Nusselt number and Sherwood number are derived and represented through tabular form. The results reveal that the flow field and the temperature distribution are greatly influenced by thermal radiation parameter. Furthermore, the limiting cases are obtained and are found to be in good agreement with the previously published results.
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spelling doaj.art-8f5b450c01364d5683ad7254a0d334da2024-03-17T08:03:18ZengSemnan UniversityJournal of Heat and Mass Transfer Research2345-508X2383-30682017-10-014211713310.22075/jhmtr.2017.1854.11422633Analytical and numerical investigation of heat and mass transfer effects on magnetohydrodynamic natural convective flow past a vertical porous plateSrinivasa Raju Rallabandi0Anitha G1Jithender Reddy G2GITAM UniversityGITAM UniversityVNR Vignana Jyothi Institute of Engineering and TechnologyThe aim of this investigation is to study the effect of hall current on an unsteady natural convective flow of a viscous, incompressible, electrically conducting optically thick radiating fluid past a vertical porous plate in the presence of a uniform transverse magnetic field. The Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. Analytical and numerical solutions of the coupled governing partial differential equations for the fluid velocity, fluid temperature and fluid concentration profiles are obtained by perturbation and finite element techniques respectively. The effects of the various dimensionless engineering parameters viz., Grashof number for heat and mass transfer, Magnetic field parameter, Prandtl number, Schmidt number, Thermal radiation parameter and Hall parameter entering into the problem on the primary and secondary velocities, temperature and concentration profiles throughout the boundary layer are investigated through graphs. The expressions of skin-friction, Nusselt number and Sherwood number are derived and represented through tabular form. The results reveal that the flow field and the temperature distribution are greatly influenced by thermal radiation parameter. Furthermore, the limiting cases are obtained and are found to be in good agreement with the previously published results.https://jhmtr.semnan.ac.ir/article_2633_7e8a71c479ed92604667c739e19e1592.pdfheat and mass transfernatural convectionhall currentporous mediumfinite element methodperturbation technique
spellingShingle Srinivasa Raju Rallabandi
Anitha G
Jithender Reddy G
Analytical and numerical investigation of heat and mass transfer effects on magnetohydrodynamic natural convective flow past a vertical porous plate
Journal of Heat and Mass Transfer Research
heat and mass transfer
natural convection
hall current
porous medium
finite element method
perturbation technique
title Analytical and numerical investigation of heat and mass transfer effects on magnetohydrodynamic natural convective flow past a vertical porous plate
title_full Analytical and numerical investigation of heat and mass transfer effects on magnetohydrodynamic natural convective flow past a vertical porous plate
title_fullStr Analytical and numerical investigation of heat and mass transfer effects on magnetohydrodynamic natural convective flow past a vertical porous plate
title_full_unstemmed Analytical and numerical investigation of heat and mass transfer effects on magnetohydrodynamic natural convective flow past a vertical porous plate
title_short Analytical and numerical investigation of heat and mass transfer effects on magnetohydrodynamic natural convective flow past a vertical porous plate
title_sort analytical and numerical investigation of heat and mass transfer effects on magnetohydrodynamic natural convective flow past a vertical porous plate
topic heat and mass transfer
natural convection
hall current
porous medium
finite element method
perturbation technique
url https://jhmtr.semnan.ac.ir/article_2633_7e8a71c479ed92604667c739e19e1592.pdf
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AT anithag analyticalandnumericalinvestigationofheatandmasstransfereffectsonmagnetohydrodynamicnaturalconvectiveflowpastaverticalporousplate
AT jithenderreddyg analyticalandnumericalinvestigationofheatandmasstransfereffectsonmagnetohydrodynamicnaturalconvectiveflowpastaverticalporousplate