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Heat and mass transfer in unsteady MHD slip flow of Casson fluid over a moving wedge embedded in a porous medium in the presence of chemical reaction: Numerical Solutions using Keller‐Box Method
Author(s) -
Ullah Imran,
Khan Ilyas,
Shafie Sharidan
Publication year - 2018
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22221
Subject(s) - eckert number , mechanics , porous medium , partial differential equation , boundary layer , wedge (geometry) , nonlinear system , joule heating , heat transfer , shooting method , mass transfer , thermodynamics , mathematics , magnetohydrodynamics , boundary value problem , materials science , porosity , physics , mathematical analysis , magnetic field , nusselt number , geometry , reynolds number , quantum mechanics , composite material , turbulence
The hydromagnetic mixed convection flow of Casson fluid due to moving wedge embedded in a porous medium in the presence of chemical reaction and viscous dissipation is investigated. The Joule heating due to a magnetic field and porous medium heating is also considered. Similarity transformations are utilized to convert nonlinear partial differential equations into nonlinear ordinary differential equations. The resulting equations are solved numerically via Keller‐box method. The numerical results are achieved for limiting cases and are revealed in close agreement with those of the results available in the literature. It is noticed that unsteadiness parameter thinning the velocity boundary layer while opposite to this was found in the thermal and concentration boundary layers. The dimensionless temperature is observed to be enhanced with increment in Eckert number.