Heat transfer in boundary layer stagnation-point flow towards a shrinking sheet with non-uniform heat flux

doi:10.1088/1674-1056/22/7/074705

Abstract In this paper, the effect of non-uniform heat flux on heat transfer in boundary layer stagnation-point flow over a shrinking sheet is studied. The variable boundary heat fluxes are considered of two types: direct power-law variation with the distance along the sheet and inverse power-law variation with the distance. The governing partial differential equations (PDEs) are transformed into non linear self-similar ordinary differential equations (ODEs) by similarity transformations,and then those are solved using very efficient shooting method. The direct variation and inverse variation of heat flux along the sheet have completely different effects on the temperature distribution. Moreover, the heat transfer characteristics in the presence of non-uniform heat flux for several values of physical parameters are also found to be interesting.

Keywords: non-uniform heat flux heat transfer stagnation-point flow shrinking sheet

Received: 10 September 2012
Revised: 09 November 2012
Accepted manuscript online:

PACS:	47.15.Cb	(Laminar boundary layers)
	44.27.+g	(Forced convection)

Fund: Project supported by the National Board for Higher Mathematics (NBHM), DAE, Mumbai, India.

Corresponding Authors: Krishnendu Bhattacharyya
E-mail: krish.math@yahoo.com; krishnendu.math@gmail.com

Cite this article:

Krishnendu Bhattacharyya Heat transfer in boundary layer stagnation-point flow towards a shrinking sheet with non-uniform heat flux 2013 Chin. Phys. B 22 074705

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Heat transfer in boundary layer stagnation-point flow towards a shrinking sheet with non-uniform heat flux

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