# Modeling of free convection boundary layer flow on a solid sphere with Newtonian heating

M. Z. Salleh, Roslinda Mohd. Nazar, I. Pop

Research output: Contribution to journalArticle

19 Citations (Scopus)

### Abstract

In this paper, the mathematical model of free convection boundary layer flow on a solid sphere with Newtonian heating, in which the heat transfer from the surface is proportional to the local surface temperature, is considered. The transformed boundary layer equations are solved numerically using an efficient numerical scheme known as the Kellerbox method. Numerical solutions are obtained for the local wall temperature, the local skin friction coefficient, as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for different values of the Prandtl number Pr and conjugate parameter γ are analyzed and discussed.

Original language English 263-274 12 Acta Applicandae Mathematicae 112 3 https://doi.org/10.1007/s10440-010-9567-5 Published - Dec 2010

### Fingerprint

Free Convection
Boundary layer flow
Boundary Layer Flow
Natural convection
Heating
Heat Transfer
Modeling
Heat transfer
Skin Friction
Skin friction
Prandtl number
Temperature Profile
Friction Coefficient
Velocity Profile
Temperature
Numerical Scheme
Boundary Layer
Boundary layers
Directly proportional
Numerical Solution

### Keywords

• Boundary layer
• Free convection
• Newtonian heating
• Numerical solutions
• Solid sphere

### ASJC Scopus subject areas

• Applied Mathematics

### Cite this

In: Acta Applicandae Mathematicae, Vol. 112, No. 3, 12.2010, p. 263-274.

Research output: Contribution to journalArticle

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