Heat and fluid flow due to non-linearly stretching surfaces

被引:66
作者
Cortell, Rafael [1 ]
机构
[1] Univ Politecn Valencia, Escuela Tecn Super Ingn Caminos Canales & Puertos, Dept Fis Aplicada, E-46071 Valencia, Spain
关键词
Laminar boundary layer; Radiative heat transfer; Non-linear stretching surfaces; POWER-LAW FLUID; VISCOUS DISSIPATION; BOUNDARY-LAYER; MASS-TRANSFER; RADIATION; SUCTION; SHEET;
D O I
10.1016/j.amc.2011.02.029
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An analysis is presented for the laminar boundary layer flow induced in a quiescent fluid by a permeable stretched flat surface with velocity u(w)(x) approximate to x(1/3). A prescribed power-law surface temperature (PST) distribution T-w(x) = T-infinity + A(x/L)(m) at y = 0 is considered. The influences of the exponent m as well as the effects of suction/blowing parameter b on similar entrainment velocity f(infinity), flow and heat transfer characteristics are studied. To this end, the resulting ordinary differential equations are solved numerically using the 4th order Runge-Kutta method in combination with a shooting procedure. It is found that m = -2/3 provides an exact solution for the stated problem, and the constant surface temperature (CST) case is also analyzed. The obtained results elucidate reliability and efficiency of the technique from which interesting features between the wall heat flux and the entrainment velocity f(infinity) as function of the mass transfer parameter b can also be obtained. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:7564 / 7572
页数:9
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