Similarity solutions of free convection boundary layer flow on a horizontal plate with variable wall temperature

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10 Citations (Scopus)

Abstract

In this paper, numerical solutions are obtained for the steady laminar free convection boundary layer flow on a horizontal plate with variable wall temperature. The governing non-dimensional boundary layer equations are transformed into ordinary differential equations using similarity transformation which are then solved numerically using an implicit finite- difference scheme known as the Keller-box method. The numerical results for different values of the Prandtl number Pr and the constant m representing the power index are obtained. Series solutions for large values of m (>>1) are also obtained and compared with the numerical solutions. The effects of various values of Prandtl number Pr and m on the velocity profiles, temperature profiles, skin friction and heat transfer coefficients are presented and discussed.

Original languageEnglish
Pages (from-to)188-198
Number of pages11
JournalEuropean Journal of Scientific Research
Volume27
Issue number2
Publication statusPublished - 2009

Fingerprint

Convection
Free Convection
Skin Temperature
Friction
Similarity Solution
Boundary layer flow
Boundary Layer Flow
Prandtl number
Natural convection
Horizontal
Hot Temperature
boundary layer
convection
Numerical Solution
Power Indices
Temperature
heat transfer coefficient
Skin Friction
Heat Transfer Coefficient
Skin friction

Keywords

  • Boundary layer
  • Free Convection
  • Horizontal plate
  • Similarity Solutions

ASJC Scopus subject areas

  • General

Cite this

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abstract = "In this paper, numerical solutions are obtained for the steady laminar free convection boundary layer flow on a horizontal plate with variable wall temperature. The governing non-dimensional boundary layer equations are transformed into ordinary differential equations using similarity transformation which are then solved numerically using an implicit finite- difference scheme known as the Keller-box method. The numerical results for different values of the Prandtl number Pr and the constant m representing the power index are obtained. Series solutions for large values of m (>>1) are also obtained and compared with the numerical solutions. The effects of various values of Prandtl number Pr and m on the velocity profiles, temperature profiles, skin friction and heat transfer coefficients are presented and discussed.",
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AU - Deswita, L.

AU - Mohd. Nazar, Roslinda

AU - Ahmad, Rokiah @ Rozita

AU - Mohd Ishak, Anuar

AU - Pop, I.

PY - 2009

Y1 - 2009

N2 - In this paper, numerical solutions are obtained for the steady laminar free convection boundary layer flow on a horizontal plate with variable wall temperature. The governing non-dimensional boundary layer equations are transformed into ordinary differential equations using similarity transformation which are then solved numerically using an implicit finite- difference scheme known as the Keller-box method. The numerical results for different values of the Prandtl number Pr and the constant m representing the power index are obtained. Series solutions for large values of m (>>1) are also obtained and compared with the numerical solutions. The effects of various values of Prandtl number Pr and m on the velocity profiles, temperature profiles, skin friction and heat transfer coefficients are presented and discussed.

AB - In this paper, numerical solutions are obtained for the steady laminar free convection boundary layer flow on a horizontal plate with variable wall temperature. The governing non-dimensional boundary layer equations are transformed into ordinary differential equations using similarity transformation which are then solved numerically using an implicit finite- difference scheme known as the Keller-box method. The numerical results for different values of the Prandtl number Pr and the constant m representing the power index are obtained. Series solutions for large values of m (>>1) are also obtained and compared with the numerical solutions. The effects of various values of Prandtl number Pr and m on the velocity profiles, temperature profiles, skin friction and heat transfer coefficients are presented and discussed.

KW - Boundary layer

KW - Free Convection

KW - Horizontal plate

KW - Similarity Solutions

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