On hydromagnetic flow due to a rotating disk with radiation effects

The effect of thermal radiation on the steady laminar convective hydromagnetic flow of a viscous and electrically conducting fluid due to a rotating disk of infinite extend is studied. The fluid is subjected to an external uniform magnetic field perpendicular to the plane of the disk. The governing...

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Main Authors: S. P. Anjali Devi, R. Uma Devi
Format: Article
Language:English
Published: Vilnius University Press 2011-01-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14112
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author S. P. Anjali Devi
R. Uma Devi
author_facet S. P. Anjali Devi
R. Uma Devi
author_sort S. P. Anjali Devi
collection DOAJ
description The effect of thermal radiation on the steady laminar convective hydromagnetic flow of a viscous and electrically conducting fluid due to a rotating disk of infinite extend is studied. The fluid is subjected to an external uniform magnetic field perpendicular to the plane of the disk. The governing Navier–Stokes and Maxwell equations of the hydromagnetic fluid, together with the energy equation, are transformed into nonlinear ordinary differential equations by using the von Karman similarity transformations. The resulting nonlinear ordinary differential equations are then solved numerically subject to the transformed boundary conditions by Runge–Kutta based shooting method. Comparisons with previously published works are performed and the results are found to be in excellent agreement. Numerical and graphical results for the velocity and temperature profiles as well as the skin friction and Nusselt number are presented and discussed for various parametric conditions.
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spelling doaj.art-35e41ec664f845caa2763a5546b715412022-12-22T03:11:57ZengVilnius University PressNonlinear Analysis1392-51132335-89632011-01-01161On hydromagnetic flow due to a rotating disk with radiation effectsS. P. Anjali Devi0R. Uma Devi1Bharathiar University, IndiaBharathiar University, IndiaThe effect of thermal radiation on the steady laminar convective hydromagnetic flow of a viscous and electrically conducting fluid due to a rotating disk of infinite extend is studied. The fluid is subjected to an external uniform magnetic field perpendicular to the plane of the disk. The governing Navier–Stokes and Maxwell equations of the hydromagnetic fluid, together with the energy equation, are transformed into nonlinear ordinary differential equations by using the von Karman similarity transformations. The resulting nonlinear ordinary differential equations are then solved numerically subject to the transformed boundary conditions by Runge–Kutta based shooting method. Comparisons with previously published works are performed and the results are found to be in excellent agreement. Numerical and graphical results for the velocity and temperature profiles as well as the skin friction and Nusselt number are presented and discussed for various parametric conditions.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14112steady MHD flowrotating diskheat transfer
spellingShingle S. P. Anjali Devi
R. Uma Devi
On hydromagnetic flow due to a rotating disk with radiation effects
Nonlinear Analysis
steady MHD flow
rotating disk
heat transfer
title On hydromagnetic flow due to a rotating disk with radiation effects
title_full On hydromagnetic flow due to a rotating disk with radiation effects
title_fullStr On hydromagnetic flow due to a rotating disk with radiation effects
title_full_unstemmed On hydromagnetic flow due to a rotating disk with radiation effects
title_short On hydromagnetic flow due to a rotating disk with radiation effects
title_sort on hydromagnetic flow due to a rotating disk with radiation effects
topic steady MHD flow
rotating disk
heat transfer
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14112
work_keys_str_mv AT spanjalidevi onhydromagneticflowduetoarotatingdiskwithradiationeffects
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