Diffusion-thermo effect with hall current on unsteady hydromagnetic flow past an infinite vertical porous plate

An unsteady hydromagnetic flow past an infinite vertical porous plate has been analyzed to show the effect of an additional cross transport phenomenon, i.e. heat flux caused by concentration gradient in addition to the heat flux caused by temperature gradient. The effect of magnetic field on the flu...

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Main Authors: J.R. Pattnaik, G.C. Dash, S. Singh
Format: Article
Language:English
Published: Elsevier 2017-03-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016816302381
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author J.R. Pattnaik
G.C. Dash
S. Singh
author_facet J.R. Pattnaik
G.C. Dash
S. Singh
author_sort J.R. Pattnaik
collection DOAJ
description An unsteady hydromagnetic flow past an infinite vertical porous plate has been analyzed to show the effect of an additional cross transport phenomenon, i.e. heat flux caused by concentration gradient in addition to the heat flux caused by temperature gradient. The effect of magnetic field on the fluid temperature and the heat transfer between fluid and wall is of considerable importance affecting the flow. Further, Hall current, an additional electric current density so generated perpendicular to both applied electric field and magnetic field has been taken into consideration in the present study. Moreover, the Dufour effect has been considered in energy equation leaving the equations of thermal diffusion and mass diffusion coupled. The coupled non-linear equations are solved by applying a special function Hhn(x). The effects of flow parameters are shown with the help of graphs and tables. A phenomenal observation, i.e. a radical change is marked near the plate in respect of Dufour number in the presence of suction. Further, it is to note that suction induces backflow in conjunction with opposing buoyancy forces. Hall current contributes to greater skin friction at the bounding surface.
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spelling doaj.art-59f6df1a87f1401d8660188ca1b106d82022-12-21T20:28:04ZengElsevierAlexandria Engineering Journal1110-01682017-03-01561132510.1016/j.aej.2016.08.027Diffusion-thermo effect with hall current on unsteady hydromagnetic flow past an infinite vertical porous plateJ.R. Pattnaik0G.C. Dash1S. Singh2Department of Mathematics, Padmanava College of Engineering, Rourkela 769002, Odisha, IndiaDepartment of Mathematics, Siksha ‘O’ Anusandhan University, Bhubaneswar 751030, Odisha, IndiaDepartment of Mathematics, Padmanava College of Engineering, Rourkela 769002, Odisha, IndiaAn unsteady hydromagnetic flow past an infinite vertical porous plate has been analyzed to show the effect of an additional cross transport phenomenon, i.e. heat flux caused by concentration gradient in addition to the heat flux caused by temperature gradient. The effect of magnetic field on the fluid temperature and the heat transfer between fluid and wall is of considerable importance affecting the flow. Further, Hall current, an additional electric current density so generated perpendicular to both applied electric field and magnetic field has been taken into consideration in the present study. Moreover, the Dufour effect has been considered in energy equation leaving the equations of thermal diffusion and mass diffusion coupled. The coupled non-linear equations are solved by applying a special function Hhn(x). The effects of flow parameters are shown with the help of graphs and tables. A phenomenal observation, i.e. a radical change is marked near the plate in respect of Dufour number in the presence of suction. Further, it is to note that suction induces backflow in conjunction with opposing buoyancy forces. Hall current contributes to greater skin friction at the bounding surface.http://www.sciencedirect.com/science/article/pii/S1110016816302381HydromagneticHall currentChemical and thermal diffusionDufour effect
spellingShingle J.R. Pattnaik
G.C. Dash
S. Singh
Diffusion-thermo effect with hall current on unsteady hydromagnetic flow past an infinite vertical porous plate
Alexandria Engineering Journal
Hydromagnetic
Hall current
Chemical and thermal diffusion
Dufour effect
title Diffusion-thermo effect with hall current on unsteady hydromagnetic flow past an infinite vertical porous plate
title_full Diffusion-thermo effect with hall current on unsteady hydromagnetic flow past an infinite vertical porous plate
title_fullStr Diffusion-thermo effect with hall current on unsteady hydromagnetic flow past an infinite vertical porous plate
title_full_unstemmed Diffusion-thermo effect with hall current on unsteady hydromagnetic flow past an infinite vertical porous plate
title_short Diffusion-thermo effect with hall current on unsteady hydromagnetic flow past an infinite vertical porous plate
title_sort diffusion thermo effect with hall current on unsteady hydromagnetic flow past an infinite vertical porous plate
topic Hydromagnetic
Hall current
Chemical and thermal diffusion
Dufour effect
url http://www.sciencedirect.com/science/article/pii/S1110016816302381
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