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Similarity and nonsimilarity solutions on flow and heat transfer over a wedge with power law stream conditions

Ismoen, Muhaimin and Karim, Md. Fazlul and Mohamad, Radiah and Kandasamy, Ramasamy (2015) Similarity and nonsimilarity solutions on flow and heat transfer over a wedge with power law stream conditions. International Journal of Innovation in Mechanical Engineering & Advanced Materials (IJIMEAM), 1 (1).

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Abstract

The similarity and non-similarity analysis are presented to investigate the effect of buoyancy force on the steady flow and heat transfer of fluid past a heated wedge. The fluid is assumed to be a Newtonian, viscous and incompressible. The wall of the wedge is an impermeable with power law free stream velocity and a wall temperature. Due to the effect of a buoyancy force, a power law of free stream velocity and wall temperature, then the flow field is similar when n = 2m - 1, otherwise is non-similar when n ≠ 2m - 1. The governing boundary layer equations are written into dimensionless forms of ordinary differential equations by means of Falkner-Skan transformation. The resulting ordinary differential equations are solved by Runge-Kutta Gill with shooting method for finding a skin friction and a rate of heat transfer. The effects of buoyancy force and non-uniform wall temperature parameters on the dimensionless velocity and temperature profiles are shown graphically. Comparisons with previously published works are performed and excellent agreement between the results is obtained. The conclusion is drawn that the flow field and temperature profiles are significantly influenced by these parameters.

Item Type: Article
Uncontrolled Keywords: Similarity; non-similarity; buoyancy force; power law; stream condition
Subjects: Q Science > QC Physics
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistic
Depositing User: Mr. Mohammad Shaifulrip Ithnin
Date Deposited: 17 Jul 2017 03:37
Last Modified: 17 Jul 2017 03:37
URI: http://eprints.uthm.edu.my/id/eprint/8589
Statistic Details: View Download Statistic

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