Work

Unveiling nonlinear heat and convection phenomena in aligned magnetic fields: Insights into variable thermal conductivity and melting heat effects

Year: 2025

Type: article

Abstract: Nonlinear convection and heat generation in the presence of an aligned magnetic field are numerically analyzed in this work. In a non‐Darcy porous material, the two‐dimensional flow of a Maxwell fluid over an inclined stretching/shrinking sheet is examined. The study focuses on how heat transport is affected by nonlinear convection, variable thermal conductivity, and melting heat. The governing nonlinear partial differential equations (PDEs) are transformed into nondimensional ordinary differential equations (ODEs) by the use of effective transformations. The built‐in bvp4c function in MATLAB is used to obtain numerical solutions. Important results show that with thermal stratification, momentum and thermal profiles behave inversely. Under the same conditions, a significant increase in the skin friction coefficient is noted, and the local Nusselt number rises with increasing values of magnetic constraint, inclined angle, and suction parameter. Furthermore, a greater nonlinear convection parameter results in an improvement in the velocity profile and a decrease in the thermal profile. The findings, which are displayed in tabular and graphical representations, offer important insights into the intricate relationships within the system and may find use in materials engineering, industrial processes, and thermal management.

Source: ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

DOI: 10.1002/zamm.70029

Authors: M. Bilal, Emad E. Mahmoud, Yasir Mehmood, M. Ramzan, Khadijah M. Abualnaja, Rida Malik

Institutions: The University of Chenab, Gujrat, Taif University, University of Lahore, Bahria University

Language: English

Topic: Heat and Mass Transfer in Porous Media

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funder: Taif University

Award: G1195210722