Numerical simulation of Darcy-Forchheimer flow of third grade liquid with Cattaneo-Christov heat flux model

被引：10

作者：

Hayat, T. ^{[1
,2
]}

Khan, M. Ijaz ^{[1
]}

Shehzad, S. A. ^{[3
]}

Khan, M. Imran ^{[4
]}

Alsaedi, A. ^{[2
]}

机构：

[1] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[3] COMSATS Inst Informat Technol, Dept Math, Sahiwal 57000, Pakistan

[4] Heriot Watt Univ, Inst Petr Engn, Edinburgh, Midlothian, Scotland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 12期

关键词：

Darcy-Forchheimer flow; Cattaneo-Christov heat flux; third-grade fluid; variable thermal conductivity; Euler's explicit method; STAGNATION POINT FLOW; STRETCHING SHEET; AXISYMMETRICAL FLOW; MIXED CONVECTION; RADIATIVE FLOW; POROUS-MEDIUM;

D O I：

10.1002/mma.4403

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this research is to evaluate the impact of Darcy-Forchheimer flow in an incompressible third-grade liquid through Cattaneo-Christov heat flux approach. The Cattaneo-Christov heat flux theory is adopted to govern the mathematical expression of energy, which involves the heat flux relaxation time chracteristics. Time-dependent thermal conductivity is accounted. The steady problem is reduced to ordinary differential equations via suitable transformation. Numerical solutions for the resulting flow expressions have been computed with the help of Euler's explicit technique. Impact of influential variables on the velocity, temperature and skin-friction coefficient have been demonstrated and discussed through graphs. Copyright (c) 2017 John Wiley & Sons, Ltd.

引用

页码：4352 / 4359

页数：8

共 40 条

[1] On series solution for unsteady boundary layer equations in a special third grade fluid [J].