Effect of radiation and magnetohydrodynamic free convection boundary layer flow on a solid sphere with convective boundary conditions in a micropolar fluid

Hamzeh Taha Alkasasbeh, Mohd Zuki Salleh, Razman Mat Tahar, Roslinda Mohd. Nazar, Ioan Pop

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, the effect of radiation on magnetohydrodynamic free convection boundary layer flow on a solid sphere with convective boundary conditions in a micropolar fluid, is considered. The basic nonlinear system of partial differential equations of boundary layer are first transformed into a non-dimensional form and are then solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical solutions are obtained for the local Nusselt number and the local skin friction coefficient, as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, the material or micropolar parameter K, the magnetic parameter M, the radiation parameter NR, the conjugate parameter γ and the coordinate running along the surface of the sphere, x are analyzed and discussed.

Original languageEnglish
Pages (from-to)463-480
Number of pages18
JournalMalaysian Journal of Mathematical Sciences
Volume9
Issue number3
Publication statusPublished - 1 Sep 2015

Fingerprint

Micropolar Fluid
Free Convection
Boundary Layer Flow
Radiation
Boundary conditions
Micropolar
Skin Friction
Nusselt number
Temperature Profile
Prandtl number
Friction Coefficient
Systems of Partial Differential Equations
Velocity Profile
Finite Difference Scheme
Heat Transfer
Boundary Layer
Nonlinear Systems
Numerical Solution

Keywords

  • Convective boundary conditions
  • Free convection
  • Magnetohydrodynamic (MHD)
  • Micropolar fluid
  • Radiation effects
  • Solid sphere

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Effect of radiation and magnetohydrodynamic free convection boundary layer flow on a solid sphere with convective boundary conditions in a micropolar fluid. / Alkasasbeh, Hamzeh Taha; Salleh, Mohd Zuki; Tahar, Razman Mat; Mohd. Nazar, Roslinda; Pop, Ioan.

In: Malaysian Journal of Mathematical Sciences, Vol. 9, No. 3, 01.09.2015, p. 463-480.

Research output: Contribution to journalArticle

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AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

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N2 - In this paper, the effect of radiation on magnetohydrodynamic free convection boundary layer flow on a solid sphere with convective boundary conditions in a micropolar fluid, is considered. The basic nonlinear system of partial differential equations of boundary layer are first transformed into a non-dimensional form and are then solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical solutions are obtained for the local Nusselt number and the local skin friction coefficient, as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, the material or micropolar parameter K, the magnetic parameter M, the radiation parameter NR, the conjugate parameter γ and the coordinate running along the surface of the sphere, x are analyzed and discussed.

AB - In this paper, the effect of radiation on magnetohydrodynamic free convection boundary layer flow on a solid sphere with convective boundary conditions in a micropolar fluid, is considered. The basic nonlinear system of partial differential equations of boundary layer are first transformed into a non-dimensional form and are then solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical solutions are obtained for the local Nusselt number and the local skin friction coefficient, as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, the material or micropolar parameter K, the magnetic parameter M, the radiation parameter NR, the conjugate parameter γ and the coordinate running along the surface of the sphere, x are analyzed and discussed.

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