International Journal of Emerging Multidisciplinaries: Mathematics

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

2026-04-06T13:26:24+00:00

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

2026-02-28T16:28:08+00:00

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.

Impact of Arrhenius Activation Energy on Cu/Ethylene Glycol Nanofluid Past a Rotating Disk with an Aligned Magnetic Field

2026-02-25T05:51:33+00:00

This investigation examines the momentum, thermal, and species transport characteristics of an ethylene glycol-based copper nanofluid over a rotating disk configuration, incorporating the combined influences of an aligned magnetic field and Arrhenius activation energy. The mathematical model, comprising nonlinear partial differential equations for momentum conservation, energy balance, and concentration distribution, is reduced to a system of ordinary differential equations through appropriate similarity transformations. Numerical solutions are obtained using the BVP5C algorithm, yielding detailed velocity, temperature, and concentration profiles across the boundary layer.

The principal novelty of this work lies in the simultaneous consideration of activation energy effects and aligned magnetic field orientation on nanofluid behavior in rotating disk geometry, a combination not previously addressed in the literature. A systematic parametric study examines how key physical quantities like magnetic field intensity, nanoparticle volumetric concentration, activation energy parameter, and Schmidt number—influence the heat and mass transfer characteristics of the system.

The results demonstrate that increasing magnetic field strength produces a retarding effect on fluid motion, with both radial and tangential velocity components diminishing as the Lorentz force intensifies. Furthermore, the activation energy parameter exhibits a pronounced influence on species transport, significantly modifying concentration distributions and mass transfer rates at the disk surface. These findings contribute to the fundamental understanding of nanofluid behavior under coupled magnetic and chemical reaction effects, with potential implications for thermal management systems and biomedical applications