Computational Approach in Mathematical Modeling of Cell Mass Concentration Effect on Heat Transfer Through a Blood Channel

Abstract

This study involves a mathematical formulation of models representing the cell-induced mass concentration effect on heat transfer through a blood channel with the aim of understanding the role mass concentration plays on blood circulation. The models were derived as partial differential equations in dimensional form, scaled, and reduced to ordinary differential equations. The direct method of solving differential equations was adopted, and profiles were used. and the ODEs for the temperature and concentration profiles were obtained, respectively. In order to investigate the impact of the cell mass concentration effect on the heat transfer through the blood channel, we carried out a numerical simulation using Wolfram Mathematica, where the pertinent parameters such as the Prandtl number, Schmidt number, oscillatory parameter, radiation parameter, and mass concentration parameter on the flow profiles were used. In conclusion, the results suggested that the fluid temperature could increase with heat source, concentration rate, and Prandtl number, but decreases with oscillatory effects. Secondly, concentration decreases with increasing reaction rate, oscillation, and Schmidt number.