Thermal Conductance and Mass Transport of Brinkman‐Type Nanofluids Across Porous Plates: A Prabhakar‐Fractional Approach

ABSTRACT The paper establishes an advanced computing algorithm to investigate the thermosolutal dynamics of an electrically conductive Brinkman‐type nanofluid that moves in a porous channel, and the fluid is acted on by an inclined magnetic field exerted externally. The flow is modernized by the increasing desire to enhance the effectiveness of heat transfer in the engineering systems, which make use of hybrid nanofluids in the magnetized surroundings. The combination of two realistic carrier fluids, including water and carboxymethylcellulose with graphene oxide and molybdenum disulfide nanoparticles, is explored to determine their thermal enhancement capacity. In order to incorporate complicated memory and hereditary effects, the governing equations are analyzed by Prabhakar's fractional derivative, which offers a generalized framework for heat and mass transport. Adequate similarity transformations are next used to convert the dimensional equations into nondimensional PDEs and solved using analytic Laplace transforms of the equations through the Stehfest and Tzou numerical inversion approaches. The graphical results have shown that as the Brinkman resistance parameter is raised, the fluid velocity is strongly restrained, and that the fractional‐order parameters give an additional regulation of the thermal and solutal diffusion processes. Overall, the discussion shows that the idea of the Prabhakar‐based fractional model can have a high level of efficiency and physical insight into various hybrid nanofluid transport systems.