Flow and heat transfer analysis in a deformable channel

被引：6

作者：

Asghar S. ^{[1
]}

Abbas Z. ^{[2
]}

Mushtaq M. ^{[1
]}

Hayat T. ^{[3
]}

机构：

[1] Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad

[2] Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur

[3] Department of Mathematics, Quaid-i-Azam University 45320, Islamabad

来源：

Journal of Engineering Physics and Thermophysics | 2016年 / 89卷 / 04期

关键词：

Asymptotic expansion method; Deformable channel; Heat transfer; Homotopy analysis method;

D O I：

10.1007/s10891-016-1455-z

中图分类号：

学科分类号：

摘要：

An analytical solution of the Navier–Stokes equations in a semi-infinite rectangular channel with porous and uniformly expanding or contracting walls is presented to improve the existing analytical results and to provide a comparison with the exact numerical solutions. The analytical solution is obtained with the use of the homotopy analysis method (HAM) which provides a uniformly valid solution for a wide range of parameters and has a better accuracy. In addition, the heat transfer analysis is presented for the case where the channel walls are kept at a constant temperature. The analytical solution is obtained with the use of three different techniques, and a numerical solution is obtained by the shooting method. A detailed analysis and comparison of the results of all these methods is presented. Heat transfer analysis in a deformable channel has been carried out for the first time. © 2016 Springer Science+Business Media New York.

引用

页码：929 / 941

页数：12

共 32 条

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