Unsteady MHD Flow of Nanofluid with Variable Properties over a Stretching Sheet in the Presence of Thermal Radiation and Chemical Reaction

The unsteady magnetohydrodynamics (MHD) flow of nanofluid with variable fluid properties over an inclined stretching sheet in the presence of thermal radiation and chemical reaction is studied taking into account the effect of variable fluid properties in thermal conductivity and diffusion coefficie...

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Main Authors: Musa Antidius Mjankwi, Verdiana Grace Masanja, Eunice W. Mureithi, Makungu Ng’oga James
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2019/7392459
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spelling doaj-524a8d97a7e545f5a6ee9291d5b2dbf52020-11-24T21:51:05ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252019-01-01201910.1155/2019/73924597392459Unsteady MHD Flow of Nanofluid with Variable Properties over a Stretching Sheet in the Presence of Thermal Radiation and Chemical ReactionMusa Antidius Mjankwi0Verdiana Grace Masanja1Eunice W. Mureithi2Makungu Ng’oga James3Department of Mathematics, The Nelson Mandela African Institution of Science and Technology (NM-AIST), P.O. BOX 447, Arusha, TanzaniaDepartment of Mathematics, The Nelson Mandela African Institution of Science and Technology (NM-AIST), P.O. BOX 447, Arusha, TanzaniaDepartment of Mathematics, University of Dar es Salaam (UDSM), P.O. BOX 35062, Dar es Salaam, TanzaniaDepartment of Mathematics, University of Dar es Salaam (UDSM), P.O. BOX 35062, Dar es Salaam, TanzaniaThe unsteady magnetohydrodynamics (MHD) flow of nanofluid with variable fluid properties over an inclined stretching sheet in the presence of thermal radiation and chemical reaction is studied taking into account the effect of variable fluid properties in thermal conductivity and diffusion coefficient. The governing partial differential equations are transformed into ordinary differential equations by using similarity transformation. The numerical solutions of the problem are obtained by using the fourth order Runge-Kutta method in line with the shooting technique. It is found that the increase in both thermal conductivity and radiative heat flux decreases the heat transfer rate but increases the skin friction and mass transfer rates. It is further observed that the increase in porosity parameter and magnetic field reduces the skin friction, heat, and mass transfer rates.http://dx.doi.org/10.1155/2019/7392459
collection DOAJ
language English
format Article
sources DOAJ
author Musa Antidius Mjankwi
Verdiana Grace Masanja
Eunice W. Mureithi
Makungu Ng’oga James
spellingShingle Musa Antidius Mjankwi
Verdiana Grace Masanja
Eunice W. Mureithi
Makungu Ng’oga James
Unsteady MHD Flow of Nanofluid with Variable Properties over a Stretching Sheet in the Presence of Thermal Radiation and Chemical Reaction
International Journal of Mathematics and Mathematical Sciences
author_facet Musa Antidius Mjankwi
Verdiana Grace Masanja
Eunice W. Mureithi
Makungu Ng’oga James
author_sort Musa Antidius Mjankwi
title Unsteady MHD Flow of Nanofluid with Variable Properties over a Stretching Sheet in the Presence of Thermal Radiation and Chemical Reaction
title_short Unsteady MHD Flow of Nanofluid with Variable Properties over a Stretching Sheet in the Presence of Thermal Radiation and Chemical Reaction
title_full Unsteady MHD Flow of Nanofluid with Variable Properties over a Stretching Sheet in the Presence of Thermal Radiation and Chemical Reaction
title_fullStr Unsteady MHD Flow of Nanofluid with Variable Properties over a Stretching Sheet in the Presence of Thermal Radiation and Chemical Reaction
title_full_unstemmed Unsteady MHD Flow of Nanofluid with Variable Properties over a Stretching Sheet in the Presence of Thermal Radiation and Chemical Reaction
title_sort unsteady mhd flow of nanofluid with variable properties over a stretching sheet in the presence of thermal radiation and chemical reaction
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2019-01-01
description The unsteady magnetohydrodynamics (MHD) flow of nanofluid with variable fluid properties over an inclined stretching sheet in the presence of thermal radiation and chemical reaction is studied taking into account the effect of variable fluid properties in thermal conductivity and diffusion coefficient. The governing partial differential equations are transformed into ordinary differential equations by using similarity transformation. The numerical solutions of the problem are obtained by using the fourth order Runge-Kutta method in line with the shooting technique. It is found that the increase in both thermal conductivity and radiative heat flux decreases the heat transfer rate but increases the skin friction and mass transfer rates. It is further observed that the increase in porosity parameter and magnetic field reduces the skin friction, heat, and mass transfer rates.
url http://dx.doi.org/10.1155/2019/7392459
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