The radiation-absorption, diffusion-thermo and Hall and ion slip effects, on MHD-free convective rotating flow of nanofluid (Ti₆Al₄V-H₂O) past a semi-infinite permeable moving plate with a constant heat source, are discussed. Making use of the Perturbation technique, we found that velocity, temperature and concentration are discussed through graphs. We evaluated the skin friction, Nusselt number and Sherwood number analytically and then discussed computationally. The resultant velocity reduces with increasing rotation parameter, magnetic parameter, suction parameter and enhances with increasing Hall and ion slip parameters and Dufour parameter. Nusselt number decreases with Dufour parameter and Sherwood number increases with chemical reaction parameter.

In the current study, Casson fluid flow over an inclined non-linear surface through Darcy-Forchhiemer permeable medium is analysed numerically with the influences of effects viscous dissipation, MHD, radiation, chemical reaction, and Joule heating. The governed PDE of the problem are converted to non-linear ODE using suitable similarity conversions. The ODE are solved using the Keller Box method. The influence of parameters is analysed by constructing velocity, temperature, and concentration profiles. The velocity profile decreases for raising values of the Casson parameter and Magnetic parameter and increases for the permeability parameter. Temperature increases for progressive values of the radiation parameter, Dofour parameter, and Concentration profile decreases for the chemical reaction parameter. Also, to validate the numerical method local parameters are also computed and compared with existing work