International Journal of Emerging Multidisciplinaries: Mathematics

Combined Effects of Viscous Dissipation, Joule Heating and Thermal Radiation on MHD Axisymmetric Flow of Power-Law Fluid over an Unsteady Stretching Sheet

Shazia Nazir — 2026-07-24

In this study, the axisymmetric unsteady magneto-hydrodynamic flow of power-law fluid is studied. The combined effects of viscous dissipation and joule heating are added in over a stretching sheet, and thermal radiation. A set of nonlinear partial differential equations is converted to A system of ordinary differential equations are solved by appropriate similarity transformations. The shooting method is used together with a numerical method to solve a boundary value problem. Using a 4th order Runge–Kutta method. The effect of the important dimensionless parameters such as the magnetic parameter, power-law index and the ratio of the magnetic field intensity to the initial seed magnetic field intensity are investigated. on the velocity and temperature, index, unsteadiness parameter, thermal radiation and Biot number. distributions is investigated in detail. Besides, the viscous dissipation effects were included in the analysis. The contribution of thermal through the Eckert number and Joule heating is considered. Enhancement in the boundary layer. The results showed that there was an increase in the magnetic field strength of the magnets as the number of magnets increased. parameter causes a significant decrease in the flow velocity, because of the resisting Lorentz force, and viscous parameter causes a significant decrease in the viscosity of the medium. dissipation and Joule heating contribute to an enhancement in the temperature field. Furthermore, the thickness of the thermal boundary layer is seen to increase as the thermal radiation increases. It is the important engineering quantities like skin friction coefficient and local Nusselt number. The same applies to finding the analyses of the parameters. The present study gives a detailed knowledge of the interaction of several physical processes on the flow of non-Newtonian fluids, might be useful in various industrial and engineering applications.

Analysis of MHD-Squeezed Darcy-Forchheimer Nanofluid Flow Between h-Distance Horizontal Plates by Computing Approach

Yasir Iqbal — 2026-04-20

This study investigates magnetohydrodynamic (MHD) compressed Darcy-Forchheimer nanofluid flow between two parallel plates separated by a distance h and over a nonlinear stretching sheet. The study examines porosity, friction, and a consistently applied magnetic field perpendicular to the lower plate, utilizing the Darcy-Forchheimer porous medium to facilitate horizontal axis flow. We investigate the movement of heat and mass through the examination of Brownian diffusion and thermophoresis. By employing appropriate similarity transformations, the system's highly nonlinear partial differential equations are transformed into ordinary differential equations Hybrid computational methods have been developed by combining the fourth-order Adams-Bashforth numerical method and artificial neural networks optimized with the Levenberg-Marquardt algorithm. These empirical data sets provide the foundation for an artificial neural network model. With both traditional and modern computational techniques available, predictions of parameter combinations for a particular system may be quickly updated. Increased fluid viscosity reduces the rate of movement; however, the combined forces of thermal diffusion and thermophoresis elevate the temperature in the surrounding fluid layer due to thermal gradients and increased surface area.

Computational Effects of Heat Transfer in Ostwald–de Waele Fluid with a Nonlinearly Stretching Cylinder

Walija Gul — 2026-04-22

This study explores the steady flow and heat transfer of an Ostwald–de Waele (power-law) fluid across a cylinder with nonlinear stretching, encompassing convective heating, nonlinear radiation, Joule heating, and a variable magnetic field. The governing boundary-value problem is worked out using MATLAB’s BVP4C collocation scheme and justified against existing literature. Three fluid types pseudoplastic, Newtonian, and dilatant fluids are observed to assess the influence of shear-dependent viscosity. The findings show that stretching nonlinearity plays a primary role in transport phenomena: nonlinear stretching (m = 2) consistently leads to higher skin-friction coefficients and larger Nusselt numbers than linear stretching, indicating strengthened near-wall gradients. Thermal responses depend on the controlling factor Ec, M, κ, ϕ, and R produce higher temperatures under linear stretching, whereas Pr reduces temperature more effectively under nonlinear stretching. Curvature enhances heat removal for all fluids, while magnetic damping suppresses heat transfer. These findings offer guidance for polymer extrusion and thermal processing of cylindrical materials.