Heat and mass transfer in MHD Williamson nanofluid flow over an exponentially porous stretching surface
Li Y.-X. Alshbool M.H. Lv Y.-P. Khan I. Riaz Khan M. Issakhov A.
August 2021Elsevier Ltd
Case Studies in Thermal Engineering
2021#26
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.
Aligned magnetic field , Exponential stretching , Heat generation/absorption , Porous medium , Suction , Williamson nanofluid
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College of Mathematics and Finance, Xiangnan University, Chenzhou, 423000, China
Department of Applied Mathematics, Abu Dhabi University, Abu Dhabi, 59911, United Arab Emirates
Department of Mathematics, Huzhou University, Huzhou, 313000, China
Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, P.O. Box 66, Majmaah, 11952, Saudi Arabia
LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, School of Mathematical Science, University of Chinese Academy of Sciences, Beijing, 100190, China
Department of Mathematical and Computer Modeling, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Department of Mathematical and Computer Modeling, Kazakh British-Technical University, Almaty, Kazakhstan
College of Mathematics and Finance
Department of Applied Mathematics
Department of Mathematics
Department of Mathematics
LSEC
Department of Mathematical and Computer Modeling
Department of Mathematical and Computer Modeling
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