Investigation of Generalized Fourier and Fick’s Law of Electro-Osmotic MHD Two-Phase Flow of Dusty Hybrid Ferrofluid Through Inclined Microchannel

Numerous industries, including biology and medicine, stand to benefit greatly from the cutting-edge use of electro-osmotic MHD flow of hybrid Ferro fluid via a microchannel. To investigate the electroosmotic MHD flow of a hybrid Ferro fluid with dust particles, we use a microchannel inclined vertically. We also take into account the magnetic field’s transverse component. The impacts of heat and mass transfer within this fluid system are the focus of this investigation. Partial differential equations are a powerful tool for modeling the aforementioned physical phenomena. The classical system is further fractionalized into a nondimensional form by using suitable nondimensional variables, free of dimensions, the generalized Fourier transform, and Fick’s rule. The Caputo derivative is used as a starting point for generalizations. The analytical solutions for the velocity (containing the hybrid Ferro fluid and dusty fluid), temperature, and concentration profiles are obtained using a mixture of Laplace and Fourier methods. The research looks at how things like temperature, stress (Grashof, Schmidt, and Prandtl numbers), and the dusty fluid parameter affect one another. The concentration distributions are analyzed, and graphs are presented to help visualize the results. The average values for the Sherwood number, the heat transfer rate, and the coefficient of skin friction are provided. Notably, the fractional models provide more leeway in finding workable solutions since they are more precise. All things considered, it seems that these strategies are quite beneficial. The hybrid Ferro fluid has the capacity to effectively modify the velocity boundary layer and has a greater heat transfer rate than both nanofluid and conventional fluid.