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
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
收藏
页码:4352 / 4359
页数:8
相关论文
共 40 条
[11]  
Gireesha B.J., 2015, J. Niger. Mathemat. Soc., V34, P267, DOI [DOI 10.1016/J.JNNMS.2015.07.003, 10.1016/j.jnnms.2015.07.003]
[12]   Numerical simulation for melting heat transfer and radiation effects in stagnation point flow of carbon-water nanofluid [J].
Hayat, T. ;
Khan, M. Ijaz ;
Waqas, M. ;
Alsaedi, A. ;
Farooq, M. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 315 :1011-1024
[13]   Impact of Cattaneo-Christov heat flux model in flow of variable thermal conductivity fluid over a variable thicked surface [J].
Hayat, T. ;
Khan, M. Ijaz ;
Farooq, M. ;
Alsaedi, A. ;
Waqas, M. ;
Yasmeen, Tabassam .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2016, 99 :702-710
[14]   Diffusion of chemically reactive species in third grade fluid flow over an exponentially stretching sheet considering magnetic field effects [J].
Hayat, T. ;
Khan, M. Ijaz ;
Waqas, M. ;
Alsaedi, A. ;
Yasmeen, T. .
CHINESE JOURNAL OF CHEMICAL ENGINEERING, 2017, 25 (03) :257-263
[15]   Stagnation point flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions [J].
Hayat, T. ;
Khan, M. Ijaz ;
Farooq, M. ;
Yasmeen, Tabassam ;
Alsaedi, A. .
JOURNAL OF MOLECULAR LIQUIDS, 2016, 220 :49-55
[16]   Mixed Convection Stagnation Point Flow of Casson Fluid with Convective Boundary Conditions [J].
Hayat, T. ;
Shehzad, S. A. ;
Alsaedi, A. ;
Alhothuali, M. S. .
CHINESE PHYSICS LETTERS, 2012, 29 (11)
[17]   Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid [J].
Hayat, T. ;
Shehzad, S. A. ;
Alsaedi, A. .
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2012, 33 (10) :1301-1312
[18]   Radiative flow of Jeffery fluid in a porous medium with power law heat flux and heat source [J].
Hayat, T. ;
Shehzad, S. A. ;
Qasim, M. ;
Obaidat, S. .
NUCLEAR ENGINEERING AND DESIGN, 2012, 243 :15-19
[19]   Magnetohydrodynamic stagnation point flow of third-grade liquid toward variable sheet thickness [J].
Hayat, Tasawar ;
Khan, Muhammad Ijaz ;
Waqas, Muhammad ;
Alsaedi, Ahmed .
NEURAL COMPUTING & APPLICATIONS, 2018, 30 (08) :2417-2423
[20]   Mathematical modeling of non-Newtonian fluid with chemical aspects: A new formulation and results by numerical technique [J].
Hayat, Tasawar ;
Khan, Muhammad Ijaz ;
Waqas, Muhammad ;
Alsaedi, Ahmed .
COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS, 2017, 518 :263-272