Unveiling nonlinear heat and convection phenomena in aligned magnetic fields: Insights into variable thermal conductivity and melting heat effects DOI
Muhammad Bilal, Emad E. Mahmoud, Yasir Mehmood

et al.

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Journal Year: 2025, Volume and Issue: 105(5)

Published: April 18, 2025

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

Language: Английский

Numerical investigation of Maxwell Hybrid Nanofluid flow with polystyrene oil as base fluid DOI Creative Commons
Muhammad Bilal, Yasir Mehmood,

Tabinda Shaheen

et al.

Published: Feb. 21, 2025

This study investigates the thermal enhancement of nanofluids, specifically graphene oxide (GO)/polystyrene and a hybrid nanofluid made GO + silver (Ag)/polystyrene, over stretched sheet in porous media under an applied magnetic field. The analysis considers dissipation, convective boundary conditions, heat sources, wall-to-wall mass transpiration. A non-Newtonain Maxwell fluid is considered. An activation energy impact also considered for stagnation point flow sheet. Using Runge-Kutta technique MATLAB, shooting method transfer phenomena to examine varying key parameters. Results show that higher field porosity resistances slow motion increase temperature. Additionally, content improves efficiency when compared with oxide. work highlights nanofluids as effective heat-transport agents potential industrial applications, especially natural convection due their enhanced properties standard fluids.

Language: Английский

Citations

1
Unveiling nonlinear heat and convection phenomena in aligned magnetic fields: Insights into variable thermal conductivity and melting heat effects DOI
Muhammad Bilal, Emad E. Mahmoud, Yasir Mehmood

et al.

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Journal Year: 2025, Volume and Issue: 105(5)

Published: April 18, 2025

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

Language: Английский

Citations

0