MHD Flow and Heat Transfer of an Exponential Stretching Sheet in a Boussinesq-Stokes Suspension
An analysis is carried out to study the flow and heat transfer due to an exponentially stretching sheet in a Boussinesq- Stokes suspension. Two cases are studied in heat transfer, namely (i) the sheet with prescribed exponential order surface temperature (PEST-case) and (ii) the sheet with prescri...
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Isfahan University of Technology
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doaj-90193ebf2ca24c9e9758d8e3b830e87a2020-11-24T22:05:44ZengIsfahan University of Technology Journal of Applied Fluid Mechanics1735-35722014-01-0171169176.MHD Flow and Heat Transfer of an Exponential Stretching Sheet in a Boussinesq-Stokes SuspensionP.G. SiddheshwarG. N. SekharA. S. Chethan0Visveswaraiah Technological UniversityAn analysis is carried out to study the flow and heat transfer due to an exponentially stretching sheet in a Boussinesq- Stokes suspension. Two cases are studied in heat transfer, namely (i) the sheet with prescribed exponential order surface temperature (PEST-case) and (ii) the sheet with prescribed exponential order heat flux (PEHF-case). The governing coupled, non-linear, partial differential equations are converted into coupled, non-linear, ordinary differential equations by a similarity transformation and are solved numerically using shooting method. The classical explicit Runge-Kutta-Fehlberg 45 method is used to solve the initial value problem by the shooting technique. The effects of various parameters such as the couple stress parameter, Reynolds number and Prandtl number on velocity and temperature profiles are presented and discussed. The results have possible technological applications in the liquid-based systems involving stretchable materials.http://jafmonline.net/JournalArchive/download?file_ID=32454&issue_ID=216Exponential stretching Couple stress parameter Shooting method. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
P.G. Siddheshwar G. N. Sekhar A. S. Chethan |
spellingShingle |
P.G. Siddheshwar G. N. Sekhar A. S. Chethan MHD Flow and Heat Transfer of an Exponential Stretching Sheet in a Boussinesq-Stokes Suspension Journal of Applied Fluid Mechanics Exponential stretching Couple stress parameter Shooting method. |
author_facet |
P.G. Siddheshwar G. N. Sekhar A. S. Chethan |
author_sort |
P.G. Siddheshwar |
title |
MHD Flow and Heat Transfer of an Exponential Stretching Sheet in a Boussinesq-Stokes Suspension |
title_short |
MHD Flow and Heat Transfer of an Exponential Stretching Sheet in a Boussinesq-Stokes Suspension |
title_full |
MHD Flow and Heat Transfer of an Exponential Stretching Sheet in a Boussinesq-Stokes Suspension |
title_fullStr |
MHD Flow and Heat Transfer of an Exponential Stretching Sheet in a Boussinesq-Stokes Suspension |
title_full_unstemmed |
MHD Flow and Heat Transfer of an Exponential Stretching Sheet in a Boussinesq-Stokes Suspension |
title_sort |
mhd flow and heat transfer of an exponential stretching sheet in a boussinesq-stokes suspension |
publisher |
Isfahan University of Technology |
series |
Journal of Applied Fluid Mechanics |
issn |
1735-3572 |
publishDate |
2014-01-01 |
description |
An analysis is carried out to study the flow and heat transfer due to an exponentially stretching sheet in a Boussinesq-
Stokes suspension. Two cases are studied in heat transfer, namely (i) the sheet with prescribed exponential order
surface temperature (PEST-case) and (ii) the sheet with prescribed exponential order heat flux (PEHF-case). The
governing coupled, non-linear, partial differential equations are converted into coupled, non-linear, ordinary differential equations by a similarity transformation and are solved numerically using shooting method. The classical explicit Runge-Kutta-Fehlberg 45 method is used to solve the initial value problem by the shooting technique. The effects of various parameters such as the couple stress parameter, Reynolds number and Prandtl number on velocity and temperature profiles are presented and discussed. The results have possible technological applications in the liquid-based systems involving stretchable materials. |
topic |
Exponential stretching Couple stress parameter Shooting method. |
url |
http://jafmonline.net/JournalArchive/download?file_ID=32454&issue_ID=216 |
work_keys_str_mv |
AT pgsiddheshwar mhdflowandheattransferofanexponentialstretchingsheetinaboussinesqstokessuspension AT gnsekhar mhdflowandheattransferofanexponentialstretchingsheetinaboussinesqstokessuspension AT aschethan mhdflowandheattransferofanexponentialstretchingsheetinaboussinesqstokessuspension |
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