MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical Reaction

被引:47
作者
Bouslimi, J. [1 ]
Omri, M. [2 ]
Mohamed, R. A. [3 ]
Mahmoud, K. H. [4 ]
Abo-Dahab, S. M. [3 ,5 ]
Soliman, M. S. [3 ]
机构
[1] Taif Univ, Coll Sci, Dept Phys, POB 11099, At Taif 21944, Saudi Arabia
[2] King Abdulaziz Univ, Deanship Sci Res, Jeddah, Saudi Arabia
[3] South Valley Univ, Dept Math, Fac Sci, Qena 83523, Egypt
[4] Taif Univ, Dept Phys, Coll Khurma Univ Coll, POB 11099, At Taif 21944, Saudi Arabia
[5] Luxor Univ, Fac Comp & Informat, Dept Comp Sci, Luxor, Egypt
关键词
MIXED CONVECTION FLOW; FICKS LAWS; FLUID; MICROPOLAR; VELOCITY; SLIP;
D O I
10.1155/2021/9950993
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this article, the effect of electromagnetic force with the effect of thermal radiation on the Williamson nanofluid on a stretching surface through a porous medium was studied considering the effect of both heat generation/absorption and Joule heating. On the other hand, the effect of Brownian motion and thermophoresis coefficients was considered. The system of nonlinear partial differential equations governing the study of fluid flow has transformed into a system of ordinary differential equations using similarity transformations and nondimensional variables which were subsequently solved numerically by using the Rung-Kutta fourth-order method with shooting technique. Moreover, the effect of the resulting physical parameters on the distributions of velocity, temperature, and concentration of nanoparticles has been studied by using graphical forms with an interest in providing physical meanings to each parameter. Finally, special diagrams were made to explain the study of the effect of some physical parameters on the skin friction coefficient and the local Nusselt number; these results led to reinforcement in the values of the skin friction coefficient for the increased values of the magnetic field and the Darcy number while the effect on the local Nusselt number by thermal radiation as well as the heat generation/absorption coefficients became negative.
引用
收藏
页数:16
相关论文
共 39 条
[1]   Numerical simulation of laminar forced convection of water-CuO nanofluid inside a triangular duct [J].
Aghanajafi, Amir ;
Toghraie, Davood ;
Mehmandoust, Babak .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2017, 85 :103-108
[2]  
Ahmed S.E., 2019, World Acad. Sci. Eng. Technol. Int. J. Aerosp. Mech. Eng., V13, P436
[3]   Existence of electromagnetic-hydrodynamic waves [J].
Alfven, H .
NATURE, 1942, 150 :405-406
[4]   Numerical Investigation for Bio-convection Flow of Viscoelastic Nanofluid with Magnetic Dipole and Motile Microorganisms [J].
Alshomrani, Ali Saleh .
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2021, 46 (06) :5945-5956
[5]   On Generalized Fourier's and Fick's Laws in Bio-Convection Flow of Magnetized Burgers' Nanofluid Utilizing Motile Microorganisms [J].
Alshomrani, Ali Saleh .
MATHEMATICS, 2020, 8 (07)
[6]   A discontinuous Galerkin method for a two dimensional reduced resistive MHD model [J].
Chandrashekar, Praveen ;
Nkong, Boniface ;
Bhole, Ashish .
COMPUTERS & FLUIDS, 2019, 190 :178-191
[7]  
Choi S. U. S., 1995, ASME Publ. Fed, V8, P99
[8]   Perturbation solution for pulsatile flow of a non-Newtonian Williamson fluid in a rock fracture [J].
Dapra, Irene ;
Scarpi, Giambattista .
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES, 2007, 44 (02) :271-278
[9]   A Study on the Convergence of Series Solution of Non-Newtonian Third Grade Fluid with Variable Viscosity: By Means of Homotopy Analysis Method [J].
Ellahi, R. .
ADVANCES IN MATHEMATICAL PHYSICS, 2012, 2012
[10]   MHD stagnation point flow of viscoelastic nanofluid with non-linear radiation effects [J].
Farooq, M. ;
Khan, M. Ijaz ;
Waqas, M. ;
Hayat, T. ;
Alsaedi, A. ;
Khan, M. Imran .
JOURNAL OF MOLECULAR LIQUIDS, 2016, 221 :1097-1103