Casson flow ferromagnetic liquid blood flow over stretching region is studied numerically. The domain is influence by radiation and blood flow velocity and thermal slip conditions. Blood acts an impenetrable magneto-dynamic liquid yields governing equations. The conservative governing nonlinear partial differential equations, reduced to ODEs by the help of similarity translation technique. The transport equations were transformed into first order ODEs and the resultant system are solved with help of 4th order R-K scheme. Performing a magnetic dipole with a Casson flow across a stretched region with Brownian motion and Thermophoresis is novelty of the problem. Significant applications of the study in some spheres are metallurgy, extrusion of polymers, production in papers and rubber manufactured sheets. Electronics, analytical instruments, medicine, friction reduction, angular momentum shift, heat transmission, etc. are only few of the many uses for ferromagnetic fluids. As ferromagnetic interaction parameter value improves, the skin-friction, Sherwood and Nusselt numbers depreciates. A comparative study of the present numerical scheme for specific situations reveals a splendid correlation with earlier published work. A change in blood flow velocity magnitude has been noted due to Casson parameter. Increasing change in blood flow temperature noted due to Casson parameter. Skin-friction strengthened and Nusselt number is declined with Casson parameter. The limitation of current work is a non-invasive magnetic blood flow collection system using commercially available magnetic sensors instead of SQUID or electrodes.

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.

This work is focused on unsteady, two-dimensional, laminar, boundary-layer flow of a viscous, incompressible, electrically conducting and heat-absorbing fluid along a semi-infinite vertical permeable moving plate in the presence of a uniform transverse magnetic field and first order chemical reaction. The plate is assumed to move with a constant velocity in the direction of fluid flow while the free stream velocity is assumed to follow the exponentially increasing small perturbation law. The governing equations of this problem are solved using perturbation technique and the solutions for velocity, temperature, concentration, skin friction coefficient, Nusselt number and Sherwood number are obtained. The effects of various thermo physical parameters such as Schmidt number, magnetic parameter, chemical reaction parameter, solutal Grashof number, thermal Grashof number, Panduit number and heat absorption parameter over the velocity, temperature, concentration, skin friction coefficient, Nusselt number and Sherwood number are discussed through graphs and tables