Coupled flow and heat transfer in viscoelastic fluid with Cattaneo-Christov heat flux model

被引：378
|
作者：
Han, Shihao [1 ]
Zheng, Liancun [1 ]
Li, Chunrui [1 ,2 ]
Zhang, Xinxin [2 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
[2] Univ Sci & Technol Beijing, Sch Mech Engn, Beijing 100083, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2014年 / 38卷
关键词：
Upper-convected Maxwell fluid; Boundary layer flow; Cattaneo-Christov heat flux model; Analytical solutions; Slip boundary; CONVECTED MAXWELL FLUID; STAGNATION-POINT FLOW; POROUS STRETCHING SHEETS; HOMOTOPY ANALYSIS METHOD; MASS-TRANSFER; UCM FLUIDS; MHD FLOWS; SURFACE; CHANNEL;
D O I：
10.1016/j.aml.2014.07.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This letter presents a research for coupled flow and heat transfer of an upper-convected Maxwell fluid above a stretching plate with velocity slip boundary. Unlike most classical works, the new heat flux model, which is recently proposed by Christov, is employed. Analytical solutions are obtained by using the homotopy analysis method (HAM). The effects of elasticity number, slip coefficient, the relaxation time of the heat flux and the Prandtl number on velocity and temperature fields are analyzed. A comparison of Fourier's Law and the Cattaneo-Christov heat flux model is also presented. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：87 / 93
页数：7
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