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

Mohd Zuki Salleh, Najihah Mohamed, Roziena Khairuddin, Najiyah Safwa Khasi'ie, Roslinda Mohd. Nazar, Ioan Pop

Research output: Contribution to journalArticle

8 Citations (Scopus)

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 languageEnglish
Pages (from-to)122-128
Number of pages7
JournalJournal of Mathematics and Statistics
Volume8
Issue number1
DOIs
Publication statusPublished - 10 Dec 2011

Fingerprint

Radiation Effects
Free Convection
Flat Plate
Porous Media
Horizontal
Boundary conditions
Suction
Injection
Radiation
Shooting Method
Heat Transfer Coefficient
Boundary Layer Flow
Temperature Profile
Velocity Profile
Heat Flux
Mathematical Modeling
Heat Transfer
Boundary Layer
Numerical Solution
Decrease

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

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.

In: Journal of Mathematics and Statistics, Vol. 8, No. 1, 10.12.2011, p. 122-128.

Research output: Contribution to journalArticle

Salleh, Mohd Zuki ; Mohamed, Najihah ; Khairuddin, Roziena ; Khasi'ie, Najiyah Safwa ; Mohd. Nazar, Roslinda ; Pop, Ioan. / Free convection over a permeable horizontal flat plate embedded in a porous medium with radiation effects and mixed thermal boundary conditions. In: Journal of Mathematics and Statistics. 2011 ; Vol. 8, No. 1. pp. 122-128.
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AU - Mohd. Nazar, Roslinda

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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).

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