Flow of an incompressible non-Newtonian fluid in a lipid concentrated cylindrical channel under the influence of magnetic field and metabolic heat

In this research, we used mathematical models in the investigation of incompressible non-Newtonian fluid flow through a lipid-concentrated cylindrical channel with the effect of metabolic heat and magnetic treatment. The nonlinear partial differential equations were scaled into linear partial differential equations and then solved using the Laplace method to obtain the exact solutions. The numerical simulation was carried out using Wolfram Mathematica, version 12, where graphical results were obtained showing the variation of various pertinent parameters and their effects on the velocity profile of the fluid. The graphs revealed the effects of the parameters such as the metabolic heat, Grashof parameter, magnetic field; Prandtl number, pressure gradient, and porosity parameter have on the flow profile. The significance of this study is in the therapeutic investigation of hyperthermia, especially on the regulation of blood flow and lipids in the blood.