Thermal radiation effects on magnetohydrodynamic free convection heat and mass transfer from a sphere in a variable porosity regime

Handle URI:
http://hdl.handle.net/10754/562066
Title:
Thermal radiation effects on magnetohydrodynamic free convection heat and mass transfer from a sphere in a variable porosity regime
Authors:
Prasad, Vallampati Ramachandra Ramachandra; Vasu, Buddakkagari; Bég, Osman Anwar; Parshad, Rana ( 0000-0001-7443-8927 )
Abstract:
A mathematical model is presented for multiphysical transport of an optically-dense, electrically-conducting fluid along a permeable isothermal sphere embedded in a variable-porosity medium. A constant, static, magnetic field is applied transverse to the cylinder surface. The non-Darcy effects are simulated via second order Forchheimer drag force term in the momentum boundary layer equation. The surface of the sphere is maintained at a constant temperature and concentration and is permeable, i.e. transpiration into and from the boundary layer regime is possible. The boundary layer conservation equations, which are parabolic in nature, are normalized into non-similar form and then solved numerically with the well-tested, efficient, implicit, stable Keller-box finite difference scheme. Increasing porosity (ε) is found to elevate velocities, i.e. accelerate the flow but decrease temperatures, i.e. cool the boundary layer regime. Increasing Forchheimer inertial drag parameter (Λ) retards the flow considerably but enhances temperatures. Increasing Darcy number accelerates the flow due to a corresponding rise in permeability of the regime and concomitant decrease in Darcian impedance. Thermal radiation is seen to reduce both velocity and temperature in the boundary layer. Local Nusselt number is also found to be enhanced with increasing both porosity and radiation parameters. © 2011 Elsevier B.V.
KAUST Department:
Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Elsevier BV
Journal:
Communications in Nonlinear Science and Numerical Simulation
Issue Date:
Feb-2012
DOI:
10.1016/j.cnsns.2011.04.033
Type:
Article
ISSN:
10075704
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorPrasad, Vallampati Ramachandra Ramachandraen
dc.contributor.authorVasu, Buddakkagarien
dc.contributor.authorBég, Osman Anwaren
dc.contributor.authorParshad, Ranaen
dc.date.accessioned2015-08-03T09:43:57Zen
dc.date.available2015-08-03T09:43:57Zen
dc.date.issued2012-02en
dc.identifier.issn10075704en
dc.identifier.doi10.1016/j.cnsns.2011.04.033en
dc.identifier.urihttp://hdl.handle.net/10754/562066en
dc.description.abstractA mathematical model is presented for multiphysical transport of an optically-dense, electrically-conducting fluid along a permeable isothermal sphere embedded in a variable-porosity medium. A constant, static, magnetic field is applied transverse to the cylinder surface. The non-Darcy effects are simulated via second order Forchheimer drag force term in the momentum boundary layer equation. The surface of the sphere is maintained at a constant temperature and concentration and is permeable, i.e. transpiration into and from the boundary layer regime is possible. The boundary layer conservation equations, which are parabolic in nature, are normalized into non-similar form and then solved numerically with the well-tested, efficient, implicit, stable Keller-box finite difference scheme. Increasing porosity (ε) is found to elevate velocities, i.e. accelerate the flow but decrease temperatures, i.e. cool the boundary layer regime. Increasing Forchheimer inertial drag parameter (Λ) retards the flow considerably but enhances temperatures. Increasing Darcy number accelerates the flow due to a corresponding rise in permeability of the regime and concomitant decrease in Darcian impedance. Thermal radiation is seen to reduce both velocity and temperature in the boundary layer. Local Nusselt number is also found to be enhanced with increasing both porosity and radiation parameters. © 2011 Elsevier B.V.en
dc.publisherElsevier BVen
dc.subjectConvectionen
dc.subjectDarcy parameteren
dc.subjectForchheimer dragen
dc.subjectHeat and mass transferen
dc.subjectMagnetohydrodynamicsen
dc.subjectNumerical solutionen
dc.subjectNusselt numberen
dc.subjectSherwood numberen
dc.subjectSphereen
dc.subjectWall transpirationen
dc.titleThermal radiation effects on magnetohydrodynamic free convection heat and mass transfer from a sphere in a variable porosity regimeen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalCommunications in Nonlinear Science and Numerical Simulationen
dc.contributor.institutionDepartment of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle 517325, Indiaen
dc.contributor.institutionAerospace and Biomechanics Research, Department of Engineering and Mathematics, Sheffield Hallam University, Sheffield S1 1WB, England, United Kingdomen
kaust.authorParshad, Ranaen
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