Numerical study of Maxwell fluid flow over vertical, inclined, and flat plates with heat generation and Soret-Dufour effects

This research explores the complexities of Maxwell fluid flows simultaneously subjected to the influences of magnetohydrodynamics, porous media, heat generation and radiation, and Soret-Dufour effects on a vertically inclined plate. By implementing appropriate similarity transformations, the governing system (PDEs) of fluid flow are altered to a system of coupled nonlinear ordinary differential systems. The obtaining system is solved numerically employing the BVP4C (boundary value problem solver for ordinary differential equations) approach. The three plate arrangements, which are vertical, flat, and inclined plates, are investigated in the research, and the researcher intends to completely study the effectiveness of the plate orientations on the flow characteristics. Relevant parameters such as magnetic field strength, permeability, radiation parameter, heat generation/absorption, Soret and Dufour numbers are also discussed to provide insights into their effects on fluid behavior and heat transfer. The numerical solutions are presented graphically, including the velocity, mass, and temperature distributions for each plate configuration. The three plate orientations are compared to identify the peculiarities of the fluid flow. Also, the engineering concerns are discussed by tabulating important outcomes, e.g., Sherwood number, skin friction coefficient, and Nusselt number obtained for various parameters and plate orientations. The complex work is really meaningful for understanding the role of different parameters in the Maxwell flow of fluids. It provides useful, practical engineering information for designing and optimizing systems with similar fluid dynamics and heat-transfer mechanisms.