A study of a computational BVP for heat transfer and friction drag in magnetohydrodynamics viscous flow of a nanofluid subject to the curved surface

Author:

Khan M Riaz12,Saleel C Ahamed3ORCID,Saeed Tareq4,Allehiany FM5,El-Refaey Adel M6,Jing Dengwei7,Mahmoud Emad E8

Affiliation:

1. LSEC and ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P. R. China

2. School of Mathematical Science, University of Chinese Academy of Sciences, P. R. China

3. Department of Mechanical Engineering, College of Engineering, King Khalid University, Saudi Arabia

4. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia

5. Department of Mathematical Sciences, College of Applied Sciences, Umm Al-Qura University, Saudi Arabia

6. Department of Basic and Applied Science, College of Engineering and Technology, Arab Academy for Science, Technology & Maritime Transport, Smart Village Campus, Egypt

7. State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, P. R. China

8. Department of Mathematics and Statistics, College of Science, Taif University, Taif , Saudi Arabia

Abstract

The ongoing work investigates the features of Joule heating and convective condition over a magnetohydrodynamic stagnation point flow of [Formula: see text] nanofluid moving across a curved surface. Moreover, mass suction is supposed through the stretching/shrinking surface. The initially developed model of partial differential equations is transformed into the ordinary ones assisted by suitable similarity variables. Subsequently, the ultimate nonlinear model of ordinary differential equations is solved with the help of a built-in function bvp4c package in MATLAB. Several graphical results are plotted to see the influence of various dimensionless parameters over the velocity, temperature, heat transfer, and friction drag. We found that there exists an escalation in temperature with increasing values of curvature, Eckert number, Hartmann number, and Biot number; however, the velocity profile declines with large curvature, ratio parameter, and high concentration of nanoparticles. It is also important to note that the friction drag rises with the mass suction, and reduces with vast curvature, whereas the rate of heat transfer improves with suction and Biot number but lowers with Eckert number and Hartmann number.

Publisher

SAGE Publications

Subject

Industrial and Manufacturing Engineering,Mechanical Engineering

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