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

• Published in: AIP advances 2024-09, Vol.14 (9), p.095202-095202-11
• Main Authors: Irshad, Sadia, Jahan, Shah, Majeed, Afraz Hussain, Ghith, Ehab, Tlija, Mehdi, Asghar, Atif, Rehman, Nusrat
• Format: Article
• Language: English
• Subjects: Boundary layer flow; Boundary layer thickness; Differential equations; Finite difference method; Magnetic properties; Mathematical analysis; Parameter sensitivity; Stagnation point; Thermal absorption; Thermal boundary layer
• ISSN: 2158-3226; 2158-3226
• DOI: 10.1063/5.0219843

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.