Analytical framework for biomagnetic fluid-based dipole flow and C-C heat transfer over melted surfaces: Biological applications

The discipline of biomagnetic flow studies the interactions between biological fluids and a continuously applied magnetic field. Bio-magnetic fluids have numerous applications in biomedicine and engineering, including cancer treatment, drug administration, magnetic resonance imaging and reducing blood flow during surgical procedures, among others. Additionally, the Cattaneo–Christov model for heat flow helps researchers in understanding physiological processes and creating biomedical technologies and cures by analyzing thermal events in biological systems. These applications include biomedical heat transfer and thermal effects in biophysics, among others. The presentation includes a numerical simulation that utilizes the mathematical model created to predict the behavior of the biomagnetic fluid during the Cattaneo–Christov transformation of heat flux. The equations relating to the proposed flow are transformed into ordinary differential equations by selecting appropriate similarity variables. The simplified equations are evaluated using a shooting system and the Runge–Kutta–Felberg 45 technique. With the use of graphics, we discuss the key parameters that influence the heat and flow profiles. Key findings reveal that higher values of the viscosity parameter lead to a thicker momentum boundary layer. Furthermore, the fluid velocity is enhanced as the viscosity parameter increases.