Numerical investigation of stagnation point heat transfer with MHD effects using finite difference method: Analysis of thermal absorption and generation

Author:

Irshad Sadia1,Jahan Shah1,Majeed Afraz Hussain2ORCID,Ghith Ehab3ORCID,Tlija Mehdi4ORCID,Asghar Atif5ORCID,Rehman Nusrat5

Affiliation:

1. Institute of Mathematics, Khawaja Fareed University of Engineering and Information Technology 1 , Rahim Yar Khan, Punjab 64200, Pakistan

2. School of Energy and Power Engineering, Jiangsu University 2 , Zhenjiang 212013, China

3. Department of Mechatronics, Faculty of Engineering, Ain Shams University 3 , Cairo 11566, Egypt

4. Department of Industrial Engineering, College of Engineering, King Saud University 4 , P.O. Box 800, Riyadh 11421, Saudi Arabia

5. Department of Mathematics, Air University 5 , PAF Complex E-9, Islamabad 44000, Pakistan

Abstract

The objective of this research endeavor is to examine the properties of stagnation point flow in the presence of absorption, viscous dissipation, and internal thermal generation with respect to a shrinking surface. The resulting system of differential equations is notoriously challenging to solve analytically. The equations controlling the boundary layer flow were solved using a finite difference method. The analysis includes the examination of important physical quantities through the presentation of plots and tabulated values. Our findings reveal a strong connection between the presence of solutions for high shrinking parameters and the magnetic field that was applied. Temperatures increase when there is an increase in both Ec and α at the same time. These results also suggest a shallowing of the thermal boundary layer. As a result of these findings, it appears that temperature and thermal boundary layer thickness are sensitive to changes in these factors.

Publisher

AIP Publishing

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