### Abstract

Problem statement: In this study, the mathematical modeling of free convection boundary layer flow over a permeable horizontal flat plate embedded in a porous medium under mixed thermal boundary conditions and radiation effects is considered. Approach: The transformed boundary layer equations are solved numerically using the shooting method. Results: Numerical solutions are obtained for the wall temperature, the heat transfer coefficient, as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for different values of the radiation parameter N _{R}, the mixed thermal boundary condition parameter ε and the suction or injection parameter γ are analyzed and discussed. Conclusion: We can conclude that when the suction or injection parameter γ is fixed, an increase in the radiation parameter N _{R} leads to the increase of -Θ' (0) (for the case of constant surface temperature). However, when γ is fixed, an increase in N _{R} leads to the decrease of Θ (0) (for both cases of constant surface heat flux and mixed thermal boundary conditions).

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

Pages (from-to) | 122-128 |

Number of pages | 7 |

Journal | Journal of Mathematics and Statistics |

Volume | 8 |

Issue number | 1 |

DOIs | |

Publication status | Published - 10 Dec 2011 |

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### Keywords

- Free convection
- Mixed thermal boundary conditions
- Permeable horizontal flat plate
- Porous medium
- Radiation effect

### ASJC Scopus subject areas

- Mathematics(all)
- Statistics and Probability

### Cite this

*Journal of Mathematics and Statistics*,

*8*(1), 122-128. https://doi.org/10.3844/jmssp.2012.122.128

**Free convection over a permeable horizontal flat plate embedded in a porous medium with radiation effects and mixed thermal boundary conditions.** / Salleh, Mohd Zuki; Mohamed, Najihah; Khairuddin, Roziena; Khasi'ie, Najiyah Safwa; Mohd. Nazar, Roslinda; Pop, Ioan.

Research output: Contribution to journal › Article

*Journal of Mathematics and Statistics*, vol. 8, no. 1, pp. 122-128. https://doi.org/10.3844/jmssp.2012.122.128

}

TY - JOUR

T1 - Free convection over a permeable horizontal flat plate embedded in a porous medium with radiation effects and mixed thermal boundary conditions

AU - Salleh, Mohd Zuki

AU - Mohamed, Najihah

AU - Khairuddin, Roziena

AU - Khasi'ie, Najiyah Safwa

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2011/12/10

Y1 - 2011/12/10

N2 - Problem statement: In this study, the mathematical modeling of free convection boundary layer flow over a permeable horizontal flat plate embedded in a porous medium under mixed thermal boundary conditions and radiation effects is considered. Approach: The transformed boundary layer equations are solved numerically using the shooting method. Results: Numerical solutions are obtained for the wall temperature, the heat transfer coefficient, as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for different values of the radiation parameter N R, the mixed thermal boundary condition parameter ε and the suction or injection parameter γ are analyzed and discussed. Conclusion: We can conclude that when the suction or injection parameter γ is fixed, an increase in the radiation parameter N R leads to the increase of -Θ' (0) (for the case of constant surface temperature). However, when γ is fixed, an increase in N R leads to the decrease of Θ (0) (for both cases of constant surface heat flux and mixed thermal boundary conditions).

AB - Problem statement: In this study, the mathematical modeling of free convection boundary layer flow over a permeable horizontal flat plate embedded in a porous medium under mixed thermal boundary conditions and radiation effects is considered. Approach: The transformed boundary layer equations are solved numerically using the shooting method. Results: Numerical solutions are obtained for the wall temperature, the heat transfer coefficient, as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for different values of the radiation parameter N R, the mixed thermal boundary condition parameter ε and the suction or injection parameter γ are analyzed and discussed. Conclusion: We can conclude that when the suction or injection parameter γ is fixed, an increase in the radiation parameter N R leads to the increase of -Θ' (0) (for the case of constant surface temperature). However, when γ is fixed, an increase in N R leads to the decrease of Θ (0) (for both cases of constant surface heat flux and mixed thermal boundary conditions).

KW - Free convection

KW - Mixed thermal boundary conditions

KW - Permeable horizontal flat plate

KW - Porous medium

KW - Radiation effect

UR - http://www.scopus.com/inward/record.url?scp=84864151561&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84864151561&partnerID=8YFLogxK

U2 - 10.3844/jmssp.2012.122.128

DO - 10.3844/jmssp.2012.122.128

M3 - Article

AN - SCOPUS:84864151561

VL - 8

SP - 122

EP - 128

JO - Journal of Mathematics and Statistics

JF - Journal of Mathematics and Statistics

SN - 1549-3644

IS - 1

ER -