Applications of a Group Theoretical Method on Biomagnetic Fluid Flow and Heat Transfer for Different Shapes of Fe3O4 Magnetic Particles under the Influence of Thermal Radiation and a Magnetic Dipole over a Cylinder

The flow and heat characteristics of an unsteady, laminar biomagnetic fluid, namely blood containing Fe3O4 magnetic particles, under the influence thermal radiation a dipole over cylinder with controlled boundary conditions using group theory method are investigated in present study. mathematical formulation problem is constructed aid fluid dynamics (BFD) which combines principles ferrohydrodynamics (FHD) magnetohydrodynamics (MHD). It assumed that exhibits polarization as well electrical conductivity. Additionally, shape cylindrical spherical, also considered. Moreover, this model, theoretical transformation, two-parameter technique, applied. By applying governing system partial differential equations (PDEs) along applicable reduced to one independent variable and, consequently, converted into ordinary (ODEs) suitable conditions. An efficient numerical technique applied solve resultant ODEs based on three essential features, (i) common finite differences central differencing, (ii) tridiagonal matrix manipulation (iii) iterative procedure. blood-Fe3O4 found be dependent some physical parameters such particle volume fraction, ferromagnetic interaction parameter, field parameter. ample parametric study accomplished narrate influences velocity, temperature distributions coefficient skin friction rate transfer. From results, it deduced velocity enhanced for number profile decreased gradually increased. obtained more than spherical shape. Both local Nusselt increased increasing values where transfer significantly by approximately 33.2% compared pure blood, whereas 6.82%.