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

中国物理B ›› 2013, Vol. 22 ›› Issue (7): 74705-074705.doi: 10.1088/1674-1056/22/7/074705

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

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

Krishnendu Bhattacharyya

Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India

收稿日期:2012-09-10 修回日期:2012-11-09 出版日期:2013-06-01 发布日期:2013-06-01
基金资助:
Project supported by the National Board for Higher Mathematics (NBHM), DAE, Mumbai, India.

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

Krishnendu Bhattacharyya

Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India

Received:2012-09-10 Revised:2012-11-09 Online:2013-06-01 Published:2013-06-01
Contact: Krishnendu Bhattacharyya E-mail:krish.math@yahoo.com; krishnendu.math@gmail.com
Supported by:
Project supported by the National Board for Higher Mathematics (NBHM), DAE, Mumbai, India.

摘要/Abstract

摘要： 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.

关键词: non-uniform heat flux, heat transfer, stagnation-point flow, shrinking sheet

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.

Key words: non-uniform heat flux, heat transfer, stagnation-point flow, shrinking sheet

中图分类号: (Laminar boundary layers)

47.15.Cb

44.27.+g (Forced convection)

Krishnendu Bhattacharyya. Heat transfer in boundary layer stagnation-point flow towards a shrinking sheet with non-uniform heat flux[J]. 中国物理B, 2013, 22(7): 74705-074705.

Krishnendu Bhattacharyya. Heat transfer in boundary layer stagnation-point flow towards a shrinking sheet with non-uniform heat flux[J]. Chin. Phys. B, 2013, 22(7): 74705-074705.

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

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

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