# Effect of radiation and magnetohydrodynamic free convection boundary layer flow on a solid sphere with Newtonian heating in a micropolar fluid

## Abstract

In this paper, the effect of radiation on magnetohydrodynamic free convection boundary layer flow on a solid sphere with Newtonian heating in a micropolar fluid, in which the heat transfer from the surface is proportional to the local surface temperature, is considered. The transformed boundary layer equations in the form of nonlinear partial differential equations are solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical solutions are obtained for the local wall temperature and the local skin friction coefficient, as well as the velocity, angular velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, micropolar parameter K, magnetic parameter M, radiation parameter N{sub R}, the conjugate parameter γ and the coordinate running along the surface of the sphere, x are analyzed and discussed.

- Authors:

- Futures and Trends Research Group, Faculty of Industrial Science and Technology, Universiti Malaysia Pahang, 26300 UMP Kuantan, Pahang (Malaysia)
- Faculty of Technology, Universiti Malaysia Pahang, 26300 UMP Kuantan, Pahang (Malaysia)
- School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor (Malaysia)
- Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca (Romania)

- Publication Date:

- OSTI Identifier:
- 22390951

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1643; Journal Issue: 1; Conference: 2. ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, Pahang (Malaysia), 12-14 Aug 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR VELOCITY; BOUNDARY LAYERS; FLUIDS; FRICTION FACTOR; HEATING; NATURAL CONVECTION; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; PRANDTL NUMBER; SOLIDS; SPHERES; SURFACES

### Citation Formats

```
Alkasasbeh, Hamzeh Taha, E-mail: zukikuj@yahoo.com, Sarif, Norhafizah Md, E-mail: zukikuj@yahoo.com, Salleh, Mohd Zuki, E-mail: zukikuj@yahoo.com, Tahar, Razman Mat, Nazar, Roslinda, and Pop, Ioan.
```*Effect of radiation and magnetohydrodynamic free convection boundary layer flow on a solid sphere with Newtonian heating in a micropolar fluid*. United States: N. p., 2015.
Web. doi:10.1063/1.4907509.

```
Alkasasbeh, Hamzeh Taha, E-mail: zukikuj@yahoo.com, Sarif, Norhafizah Md, E-mail: zukikuj@yahoo.com, Salleh, Mohd Zuki, E-mail: zukikuj@yahoo.com, Tahar, Razman Mat, Nazar, Roslinda, & Pop, Ioan.
```*Effect of radiation and magnetohydrodynamic free convection boundary layer flow on a solid sphere with Newtonian heating in a micropolar fluid*. United States. doi:10.1063/1.4907509.

```
Alkasasbeh, Hamzeh Taha, E-mail: zukikuj@yahoo.com, Sarif, Norhafizah Md, E-mail: zukikuj@yahoo.com, Salleh, Mohd Zuki, E-mail: zukikuj@yahoo.com, Tahar, Razman Mat, Nazar, Roslinda, and Pop, Ioan. Tue .
"Effect of radiation and magnetohydrodynamic free convection boundary layer flow on a solid sphere with Newtonian heating in a micropolar fluid". United States.
doi:10.1063/1.4907509.
```

```
@article{osti_22390951,
```

title = {Effect of radiation and magnetohydrodynamic free convection boundary layer flow on a solid sphere with Newtonian heating in a micropolar fluid},

author = {Alkasasbeh, Hamzeh Taha, E-mail: zukikuj@yahoo.com and Sarif, Norhafizah Md, E-mail: zukikuj@yahoo.com and Salleh, Mohd Zuki, E-mail: zukikuj@yahoo.com and Tahar, Razman Mat and Nazar, Roslinda and Pop, Ioan},

abstractNote = {In this paper, the effect of radiation on magnetohydrodynamic free convection boundary layer flow on a solid sphere with Newtonian heating in a micropolar fluid, in which the heat transfer from the surface is proportional to the local surface temperature, is considered. The transformed boundary layer equations in the form of nonlinear partial differential equations are solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical solutions are obtained for the local wall temperature and the local skin friction coefficient, as well as the velocity, angular velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, micropolar parameter K, magnetic parameter M, radiation parameter N{sub R}, the conjugate parameter γ and the coordinate running along the surface of the sphere, x are analyzed and discussed.},

doi = {10.1063/1.4907509},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1643,

place = {United States},

year = {Tue Feb 03 00:00:00 EST 2015},

month = {Tue Feb 03 00:00:00 EST 2015}

}