Effects of Heat and Mass Flux on MHD Free Convection Flow Through a Porous Medium with Radiation and First Order Chemical Reaction

The study of a magneto hydrodynamic (MHD) free convection flow of an incompressible viscous fluid flow past a vertical surface is analyzed by taking into account viscous dissipation under the influence of radiation effect and chemical reaction with constant heat and mass fluxes. The governing partia...

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Main Author: B. Awasthi
Format: Article
Language:English
Published: University of Zielona Góra 2018-11-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/Effects-of-Heat-and-Mass-Flux-on-MHD-Free-Convection-Flow-Through-a-Porous-Medium,166947,0,2.html
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author B. Awasthi
author_facet B. Awasthi
author_sort B. Awasthi
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description The study of a magneto hydrodynamic (MHD) free convection flow of an incompressible viscous fluid flow past a vertical surface is analyzed by taking into account viscous dissipation under the influence of radiation effect and chemical reaction with constant heat and mass fluxes. The governing partial differential equations have been converted into a set of ordinary differential equations using non dimensional quantities. The perturbation technique has been applied to solve the system of partial differential equations. The velocity, temperature and concentration fields have been studied for the effect of the permeability parameter (α), Grashof number for heat transfer (Gr), Grashof number for mass transfer (Gm), Prandtl number (Pr), magnetic parameter ( M ), chemical reaction parameter ( Kr ), Schmidt number (Sc), Eckert number (E), radiation parameter ( F ) etc. The expressions for the skin-friction, rate of heat transfer and rate of mass transfer are also derived. It is observed that when the radiation parameter increases, the velocity increases near the vertical surface. It is also seen that the concentration decreases with an increase in the chemical reaction parameter ( Kr ).
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spelling doaj.art-6f3165f442cc49c9bedfa7770a27cfc22023-08-08T14:59:52ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032018-11-0123485587110.2478/ijame-2018-0047166947Effects of Heat and Mass Flux on MHD Free Convection Flow Through a Porous Medium with Radiation and First Order Chemical ReactionB. Awasthi0Department of Mathematics, JECRC University, Jaipur -, 303905, Rajasthan, IndiaThe study of a magneto hydrodynamic (MHD) free convection flow of an incompressible viscous fluid flow past a vertical surface is analyzed by taking into account viscous dissipation under the influence of radiation effect and chemical reaction with constant heat and mass fluxes. The governing partial differential equations have been converted into a set of ordinary differential equations using non dimensional quantities. The perturbation technique has been applied to solve the system of partial differential equations. The velocity, temperature and concentration fields have been studied for the effect of the permeability parameter (α), Grashof number for heat transfer (Gr), Grashof number for mass transfer (Gm), Prandtl number (Pr), magnetic parameter ( M ), chemical reaction parameter ( Kr ), Schmidt number (Sc), Eckert number (E), radiation parameter ( F ) etc. The expressions for the skin-friction, rate of heat transfer and rate of mass transfer are also derived. It is observed that when the radiation parameter increases, the velocity increases near the vertical surface. It is also seen that the concentration decreases with an increase in the chemical reaction parameter ( Kr ).https://www.ijame-poland.com/Effects-of-Heat-and-Mass-Flux-on-MHD-Free-Convection-Flow-Through-a-Porous-Medium,166947,0,2.htmlfirst order chemical reactionporous mediumviscous dissipationmhdradiationheat and mass fluxes
spellingShingle B. Awasthi
Effects of Heat and Mass Flux on MHD Free Convection Flow Through a Porous Medium with Radiation and First Order Chemical Reaction
International Journal of Applied Mechanics and Engineering
first order chemical reaction
porous medium
viscous dissipation
mhd
radiation
heat and mass fluxes
title Effects of Heat and Mass Flux on MHD Free Convection Flow Through a Porous Medium with Radiation and First Order Chemical Reaction
title_full Effects of Heat and Mass Flux on MHD Free Convection Flow Through a Porous Medium with Radiation and First Order Chemical Reaction
title_fullStr Effects of Heat and Mass Flux on MHD Free Convection Flow Through a Porous Medium with Radiation and First Order Chemical Reaction
title_full_unstemmed Effects of Heat and Mass Flux on MHD Free Convection Flow Through a Porous Medium with Radiation and First Order Chemical Reaction
title_short Effects of Heat and Mass Flux on MHD Free Convection Flow Through a Porous Medium with Radiation and First Order Chemical Reaction
title_sort effects of heat and mass flux on mhd free convection flow through a porous medium with radiation and first order chemical reaction
topic first order chemical reaction
porous medium
viscous dissipation
mhd
radiation
heat and mass fluxes
url https://www.ijame-poland.com/Effects-of-Heat-and-Mass-Flux-on-MHD-Free-Convection-Flow-Through-a-Porous-Medium,166947,0,2.html
work_keys_str_mv AT bawasthi effectsofheatandmassfluxonmhdfreeconvectionflowthroughaporousmediumwithradiationandfirstorderchemicalreaction