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...
Main Authors: | , , , |
---|---|
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 |
id |
doaj-524a8d97a7e545f5a6ee9291d5b2dbf5 |
---|---|
record_format |
Article |
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 |
work_keys_str_mv |
AT musaantidiusmjankwi unsteadymhdflowofnanofluidwithvariablepropertiesoverastretchingsheetinthepresenceofthermalradiationandchemicalreaction AT verdianagracemasanja unsteadymhdflowofnanofluidwithvariablepropertiesoverastretchingsheetinthepresenceofthermalradiationandchemicalreaction AT eunicewmureithi unsteadymhdflowofnanofluidwithvariablepropertiesoverastretchingsheetinthepresenceofthermalradiationandchemicalreaction AT makungungogajames unsteadymhdflowofnanofluidwithvariablepropertiesoverastretchingsheetinthepresenceofthermalradiationandchemicalreaction |
_version_ |
1725880593661558784 |