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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Elsevier
2017-03-01
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Series: | Alexandria Engineering Journal |
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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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