Series solutions of unsteady free convection flow in the stagnation-point region of a three-dimensional body

被引：28
作者：
Xu, Hang [1 ]
Liao, Shi-Jun [1 ]
Pop, Loan [2 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, State Key Lab Ocean Engn, Shanghai 200030, Peoples R China
[2] Univ Cluj, Fac Math, R-3400 Cluj Napoca, Romania
来源：
INTERNATIONAL JOURNAL OF THERMAL SCIENCES | 2008年 / 47卷 / 05期
基金：
中国国家自然科学基金;
关键词：
free convection; stagnation point; unsteady; boundary-layer; series solution;
D O I：
10.1016/j.ijthermalsci.2007.05.001
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The unsteady three-dimensional free,convection flow in the stagnation-point region on a general curved isothermal surface placed in an ambient fluid is studied. By introducing new similarity transformations, the momentum and energy balance equations are reduced to a set of three fully coupled nonlinear partial differential equations. Thes e equations are solved analytically for some various values of the ratio of the two principal radii of curvature. The accurate series solutions are obtained which are uniformly valid for all dimensionless time in the whole spatial region 0 <= 77 <= infinity (C) 2007 Elsevier Masson SAS. All rights reserved.
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页码：600 / 608
页数：9
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