Heat and mass transfer in MHD Williamson nanofluid flow over an exponentially porous stretching surface

Case Studies in Thermal Engineering

Alibek Issakhov¹  Ilyas Khan¹  Yi-Xia Li²  Mohammed Hamed Alshbool³  M. Riaz Khan⁴  Yu-Pei Lv⁵ 

[1] Corresponding author.;College of Mathematics and Finance, Xiangnan University, Chenzhou 423000, PR China;Department of Applied Mathematics, Abu Dhabi University, Abu Dhabi 59911, United Arab Emirates;Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, P.O. Box 66, Majmaah 11952, Saudi Arabia;Department of Mathematics, Huzhou University, Huzhou 313000, PR China;

关键词: Williamson nanofluid;    Exponential stretching;    Porous medium;    Suction;    Aligned magnetic field;    Heat generation/absorption;   

DOI  :  

来源: DOAJ

【 摘 要 】

The present study investigates the rate of heat and mass transfer in MHD Williamson nanofluid flow over an exponentially porous stretching surface subject to the heat generation/absorption and mass suction. The analysis has been carried out for the two different conditions of heat transfer stated as prescribed exponential order surface temperature (PEST) and prescribed exponential order heat flux (PEHF). Moreover, an exterior magnetic field is applied with an inclined angle along the stretched surface. Mathematically, the existing flow problem has been configured in accordance with the fundamental laws of motion and heat transfer. The similarity transformations have been used to transform the governing equations into the nonlinear ordinary differential equations (ODEs). The numerical solution to the resulting nonlinear ODEs with the associated boundary conditions have been obtained with the utilization of bvp4c package in MATLAB. The behavior of the resulting equations of the problem is checked graphically under the influence of various flow parameters which ensures that the rate of heat transfer decreases with the increase of Brownian motion parameter as well as it increases with the increase of thermophoresis parameter. Moreover, the Sherwood number increases with the rising values of the Prandtl number and Lewis number.

【 授权许可】

Unknown