Effects of Dufour and thermal diffusion on unsteady MHD free convection and mass transfer flow through an infinite vertical permeable sheet

Abstract In this paper, the effects of Dufour and thermal diffusion and on unsteady MHD (magnetohydrodynamic) free convection and mass transfer flow through an infinite vertical permeable sheet have been investigated numerically. The non-dimensional governing equations are solved numerically by usin...

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Autores principales: Md. Hasanuzzaman, Md. Abul Kalam Azad, Md. Mosharrof Hossain
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Publicado: Springer 2021
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Acceso en línea:https://doaj.org/article/0cc9bd8862d74e7597c389ce5732ac62
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spelling oai:doaj.org-article:0cc9bd8862d74e7597c389ce5732ac622021-11-28T12:13:29ZEffects of Dufour and thermal diffusion on unsteady MHD free convection and mass transfer flow through an infinite vertical permeable sheet10.1007/s42452-021-04842-82523-39632523-3971https://doaj.org/article/0cc9bd8862d74e7597c389ce5732ac622021-11-01T00:00:00Zhttps://doi.org/10.1007/s42452-021-04842-8https://doaj.org/toc/2523-3963https://doaj.org/toc/2523-3971Abstract In this paper, the effects of Dufour and thermal diffusion and on unsteady MHD (magnetohydrodynamic) free convection and mass transfer flow through an infinite vertical permeable sheet have been investigated numerically. The non-dimensional governing equations are solved numerically by using the superposition method with the help of “Tec plot” software. The numerical solution regarding the non-dimensional velocity, temperature, and concentration variables against the non-dimensional coordinate variable has been carried out for various values of pertinent numbers and parameters like the suction parameter $$\left( {v_{0} } \right)$$ v 0 , Prandtl number $$\left( {P_{r} } \right)$$ P r , magnetic parameter $$\left( M \right)$$ M , Dufour number $$\left( {D_{f} } \right)$$ D f , Soret number $$\left( {S_{0} } \right)$$ S 0 , Schmidt number $$\left( {S_{c} } \right)$$ S c , and for constant values of modified local Grashof number $$\left( {G_{{\text{m}}} } \right)$$ G m and local Grashof number $$\left( {G_{r} } \right)$$ G r .The velocity field decreases for increasing the suction parameter which is focusing on the common fact that the usual suction parameter stabilizing the effect on the boundary layer growth. The thermal boundary layer thickness becomes thinner for rising values of the Dufour and Soret numbers. The skin friction enhances for uplifting values of Soret number and Dufour number but reduces for moving suction parameter, Magnetic force number, Prandtl number, and Schmidt number. The heat transfer rate increases for increasing the suction parameter, Dufour number, Prandtl number, and Soret number. The mass transfer rate increases for enhancing the values of suction parameter, Magnetic force number, Soret number, and Prandtl number but decreases for Dufour number and Schmidt number.Md. HasanuzzamanMd. Abul Kalam AzadMd. Mosharrof HossainSpringerarticleMHDHeat and mass transportDufour effectSoret effectPermeabilityScienceQTechnologyTENSN Applied Sciences, Vol 3, Iss 12, Pp 1-11 (2021)
institution DOAJ
collection DOAJ
language EN
topic MHD
Heat and mass transport
Dufour effect
Soret effect
Permeability
Science
Q
Technology
T
spellingShingle MHD
Heat and mass transport
Dufour effect
Soret effect
Permeability
Science
Q
Technology
T
Md. Hasanuzzaman
Md. Abul Kalam Azad
Md. Mosharrof Hossain
Effects of Dufour and thermal diffusion on unsteady MHD free convection and mass transfer flow through an infinite vertical permeable sheet
description Abstract In this paper, the effects of Dufour and thermal diffusion and on unsteady MHD (magnetohydrodynamic) free convection and mass transfer flow through an infinite vertical permeable sheet have been investigated numerically. The non-dimensional governing equations are solved numerically by using the superposition method with the help of “Tec plot” software. The numerical solution regarding the non-dimensional velocity, temperature, and concentration variables against the non-dimensional coordinate variable has been carried out for various values of pertinent numbers and parameters like the suction parameter $$\left( {v_{0} } \right)$$ v 0 , Prandtl number $$\left( {P_{r} } \right)$$ P r , magnetic parameter $$\left( M \right)$$ M , Dufour number $$\left( {D_{f} } \right)$$ D f , Soret number $$\left( {S_{0} } \right)$$ S 0 , Schmidt number $$\left( {S_{c} } \right)$$ S c , and for constant values of modified local Grashof number $$\left( {G_{{\text{m}}} } \right)$$ G m and local Grashof number $$\left( {G_{r} } \right)$$ G r .The velocity field decreases for increasing the suction parameter which is focusing on the common fact that the usual suction parameter stabilizing the effect on the boundary layer growth. The thermal boundary layer thickness becomes thinner for rising values of the Dufour and Soret numbers. The skin friction enhances for uplifting values of Soret number and Dufour number but reduces for moving suction parameter, Magnetic force number, Prandtl number, and Schmidt number. The heat transfer rate increases for increasing the suction parameter, Dufour number, Prandtl number, and Soret number. The mass transfer rate increases for enhancing the values of suction parameter, Magnetic force number, Soret number, and Prandtl number but decreases for Dufour number and Schmidt number.
format article
author Md. Hasanuzzaman
Md. Abul Kalam Azad
Md. Mosharrof Hossain
author_facet Md. Hasanuzzaman
Md. Abul Kalam Azad
Md. Mosharrof Hossain
author_sort Md. Hasanuzzaman
title Effects of Dufour and thermal diffusion on unsteady MHD free convection and mass transfer flow through an infinite vertical permeable sheet
title_short Effects of Dufour and thermal diffusion on unsteady MHD free convection and mass transfer flow through an infinite vertical permeable sheet
title_full Effects of Dufour and thermal diffusion on unsteady MHD free convection and mass transfer flow through an infinite vertical permeable sheet
title_fullStr Effects of Dufour and thermal diffusion on unsteady MHD free convection and mass transfer flow through an infinite vertical permeable sheet
title_full_unstemmed Effects of Dufour and thermal diffusion on unsteady MHD free convection and mass transfer flow through an infinite vertical permeable sheet
title_sort effects of dufour and thermal diffusion on unsteady mhd free convection and mass transfer flow through an infinite vertical permeable sheet
publisher Springer
publishDate 2021
url https://doaj.org/article/0cc9bd8862d74e7597c389ce5732ac62
work_keys_str_mv AT mdhasanuzzaman effectsofdufourandthermaldiffusiononunsteadymhdfreeconvectionandmasstransferflowthroughaninfiniteverticalpermeablesheet
AT mdabulkalamazad effectsofdufourandthermaldiffusiononunsteadymhdfreeconvectionandmasstransferflowthroughaninfiniteverticalpermeablesheet
AT mdmosharrofhossain effectsofdufourandthermaldiffusiononunsteadymhdfreeconvectionandmasstransferflowthroughaninfiniteverticalpermeablesheet
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