Darcy-Forchheimer flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions

被引:42
|
作者
Hayat, Tasawar [1 ,2 ]
Haider, Farwa [1 ]
Muhammad, Taseer [1 ]
Alsaedi, Ahmed [2 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia
来源
PLOS ONE | 2017年 / 12卷 / 04期
关键词
VARIABLE THERMAL-CONDUCTIVITY; NANOFLUID NATURAL-CONVECTION; NONLINEAR STRETCHING SURFACE; HOMOTOPY ANALYSIS METHOD; BOUNDARY-LAYER FLOW; POROUS-MEDIA; VISCOELASTIC FLUID; PERMEABLE CHANNEL; MIXED CONVECTION; CARBON NANOTUBES;
D O I
10.1371/journal.pone.0174938
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Here Darcy-Forchheimer flow of viscoelastic fluids has been analyzed in the presence of Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions. Results for two viscoelastic fluids are obtained and compared. A linear stretching surface has been used to generate the flow. Flow in porous media is characterized by considering the Darcy-Forchheimer model. Modified version of Fourier's law through Cattaneo-Christov heat flux is employed. Equal diffusion coefficients are employed for both reactants and auto catalyst. Optimal homotopy scheme is employed for solutions development of nonlinear problems. Solutions expressions of velocity, temperature and concentration fields are provided. Skin friction coefficient and heat transfer rate are computed and analyzed. Here the temperature and thermal boundary layer thickness are lower for Cattaneo-Christov heat flux model in comparison to classical Fourier's law of heat conduction. Moreover, the homogeneous and heterogeneous reactions parameters have opposite behaviors for concentration field.
引用
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页数:18
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