### Abstract

The steady, two dimensional flow of an incompressible micropolar fluid near the stagnation point on a vertical plate with prescribed surface heat flux is studied. The free stream velocity and the surface heat flux are assumed to be proportional to the distance from the stagnation point. Similarity transformation is employed to transform the governing partial differential equations to a set of ordinary differential equations. The transformed equations are then solved numerically using the Keller box method. The effects of the material parameter, buoyancy parameter and Prandtl number on the skin friction coefficient and the heat transfer rate at the surface are discussed and the corresponding velocity, temperature and microrotation profiles are shown graphically. Both assisting and opposing flows are considered and it is found that dual solutions exist for both cases.

Original language | English |
---|---|

Pages (from-to) | 2267-2273 |

Number of pages | 7 |

Journal | Australian Journal of Basic and Applied Sciences |

Volume | 4 |

Issue number | 8 |

Publication status | Published - Aug 2010 |

### Fingerprint

### Keywords

- Boundary layer
- Fluid mechanics
- Micropolar fluid
- Mixed convection
- Stagnation point flow
- Vertical plate

### ASJC Scopus subject areas

- General

### Cite this

*Australian Journal of Basic and Applied Sciences*,

*4*(8), 2267-2273.

**Non-newtonian micropolar fluid flow towards a vertical plate with prescribed wall heat flux.** / Yacob, Nor Azizah; Mohd Ishak, Anuar; Pop, Ioan.

Research output: Contribution to journal › Article

*Australian Journal of Basic and Applied Sciences*, vol. 4, no. 8, pp. 2267-2273.

}

TY - JOUR

T1 - Non-newtonian micropolar fluid flow towards a vertical plate with prescribed wall heat flux

AU - Yacob, Nor Azizah

AU - Mohd Ishak, Anuar

AU - Pop, Ioan

PY - 2010/8

Y1 - 2010/8

N2 - The steady, two dimensional flow of an incompressible micropolar fluid near the stagnation point on a vertical plate with prescribed surface heat flux is studied. The free stream velocity and the surface heat flux are assumed to be proportional to the distance from the stagnation point. Similarity transformation is employed to transform the governing partial differential equations to a set of ordinary differential equations. The transformed equations are then solved numerically using the Keller box method. The effects of the material parameter, buoyancy parameter and Prandtl number on the skin friction coefficient and the heat transfer rate at the surface are discussed and the corresponding velocity, temperature and microrotation profiles are shown graphically. Both assisting and opposing flows are considered and it is found that dual solutions exist for both cases.

AB - The steady, two dimensional flow of an incompressible micropolar fluid near the stagnation point on a vertical plate with prescribed surface heat flux is studied. The free stream velocity and the surface heat flux are assumed to be proportional to the distance from the stagnation point. Similarity transformation is employed to transform the governing partial differential equations to a set of ordinary differential equations. The transformed equations are then solved numerically using the Keller box method. The effects of the material parameter, buoyancy parameter and Prandtl number on the skin friction coefficient and the heat transfer rate at the surface are discussed and the corresponding velocity, temperature and microrotation profiles are shown graphically. Both assisting and opposing flows are considered and it is found that dual solutions exist for both cases.

KW - Boundary layer

KW - Fluid mechanics

KW - Micropolar fluid

KW - Mixed convection

KW - Stagnation point flow

KW - Vertical plate

UR - http://www.scopus.com/inward/record.url?scp=78650275955&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650275955&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:78650275955

VL - 4

SP - 2267

EP - 2273

JO - Australian Journal of Basic and Applied Sciences

JF - Australian Journal of Basic and Applied Sciences

SN - 1991-8178

IS - 8

ER -