Hydromagnetic Falkner-Skan flow of Casson fluid past a moving wedge with heat transfer
Numerical solutions are carried out for steady state two dimensional electrically conducting mixed convection flow of Casson fluid along non-isothermal moving wedge through porous medium in the presence of viscous dissipation and heat generation/absorption. The governing partial differential equatio...
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doaj-487f9c659e454c299bccec940b27d1b42021-06-02T02:20:51ZengElsevierAlexandria Engineering Journal1110-01682016-09-015532139214810.1016/j.aej.2016.06.023Hydromagnetic Falkner-Skan flow of Casson fluid past a moving wedge with heat transferImran Ullah0Ilyas Khan1Sharidan Shafie2Department of Mathematical Sciences, Faculty of Science, Universiti Technologi Malaysia, 81310 UTM Johor Bahru, Johor, MalaysiaBasic Sciences Department, College of Engineering Majmaah University, P.O. Box 66, Majmaah 11952, Saudi ArabiaDepartment of Mathematical Sciences, Faculty of Science, Universiti Technologi Malaysia, 81310 UTM Johor Bahru, Johor, MalaysiaNumerical solutions are carried out for steady state two dimensional electrically conducting mixed convection flow of Casson fluid along non-isothermal moving wedge through porous medium in the presence of viscous dissipation and heat generation/absorption. The governing partial differential equations, subject to boundary conditions are transformed into ordinary differential equations using similarity transformations. The transformed equations are then solved numerically by Keller-box method. To check the validity of present method, numerical results for dimensionless local skin friction coefficient and rate of heat transfer are compared with results of available literature as special cases and revealed in good agreement. The influence of pertinent parameters on velocity, temperature profiles, as well as wall shear stress and heat transfer rate is displayed in graphical form and discussed. It is found that fluid velocity increases with increase of Eckert number in case of assisting flow, while it decreases in case of opposing flow. It is also noticed that heat generation/absorption parameter influence fluid velocity and temperature significantly. A significant result obtained from this study is that heat transfer rate reduces with increase of Prandtl number in the presence of viscous dissipation effect. Also, increasing values of Eckert number have no effects on force convection flow.http://www.sciencedirect.com/science/article/pii/S1110016816301612Casson fluidMoving wedgeViscous dissipationHeat generation/absorption |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Imran Ullah Ilyas Khan Sharidan Shafie |
spellingShingle |
Imran Ullah Ilyas Khan Sharidan Shafie Hydromagnetic Falkner-Skan flow of Casson fluid past a moving wedge with heat transfer Alexandria Engineering Journal Casson fluid Moving wedge Viscous dissipation Heat generation/absorption |
author_facet |
Imran Ullah Ilyas Khan Sharidan Shafie |
author_sort |
Imran Ullah |
title |
Hydromagnetic Falkner-Skan flow of Casson fluid past a moving wedge with heat transfer |
title_short |
Hydromagnetic Falkner-Skan flow of Casson fluid past a moving wedge with heat transfer |
title_full |
Hydromagnetic Falkner-Skan flow of Casson fluid past a moving wedge with heat transfer |
title_fullStr |
Hydromagnetic Falkner-Skan flow of Casson fluid past a moving wedge with heat transfer |
title_full_unstemmed |
Hydromagnetic Falkner-Skan flow of Casson fluid past a moving wedge with heat transfer |
title_sort |
hydromagnetic falkner-skan flow of casson fluid past a moving wedge with heat transfer |
publisher |
Elsevier |
series |
Alexandria Engineering Journal |
issn |
1110-0168 |
publishDate |
2016-09-01 |
description |
Numerical solutions are carried out for steady state two dimensional electrically conducting mixed convection flow of Casson fluid along non-isothermal moving wedge through porous medium in the presence of viscous dissipation and heat generation/absorption. The governing partial differential equations, subject to boundary conditions are transformed into ordinary differential equations using similarity transformations. The transformed equations are then solved numerically by Keller-box method. To check the validity of present method, numerical results for dimensionless local skin friction coefficient and rate of heat transfer are compared with results of available literature as special cases and revealed in good agreement. The influence of pertinent parameters on velocity, temperature profiles, as well as wall shear stress and heat transfer rate is displayed in graphical form and discussed. It is found that fluid velocity increases with increase of Eckert number in case of assisting flow, while it decreases in case of opposing flow. It is also noticed that heat generation/absorption parameter influence fluid velocity and temperature significantly. A significant result obtained from this study is that heat transfer rate reduces with increase of Prandtl number in the presence of viscous dissipation effect. Also, increasing values of Eckert number have no effects on force convection flow. |
topic |
Casson fluid Moving wedge Viscous dissipation Heat generation/absorption |
url |
http://www.sciencedirect.com/science/article/pii/S1110016816301612 |
work_keys_str_mv |
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