Statistical Analysis of MHD Convective Ferro-nanofluid Flow through an Inclined Channel with Hall Current, Heat Source and Soret Effect

Abstract The role of hall current, heat source and Soret effects on MHD convective ferro-nanofluid (Fe3O4-water) flow through an inclined channel with porous medium has been theoretically and statistically examined. Velocity, thermal and concentration boundary layer in nanofluids are considered to be oscillatory. Heat due to radiation is induced by the huge disparity in temperature between the plates. Hall current is generated by the uniform application of a strong magnetic field perpendicular to the flow of fluid. Boundary layer equations are changed to non-dimensional type and it is resolved by perturbation approximation. The outcomes are displayed in the form of tables and figures using MATLAB software. The outcome of pertinent parameters on concentration, temperature and velocity profiles are evaluated through graphs. Besides, wall heat, mass transfer rates and surface drag are investigated through statistical tools like regression and probable error. Results explain that heat source and hall current have a negative impact on skin friction whereas heat source has a positive impact on Nusselt number. Also, Soret number has a negative impact on Sherwood number.