Modeling of Bio-Heat Equation

A theoretical study has been made on the transport phenomena of the blood flow in the human body. To develop a discussion about the enthalpy transport in the bio-heat equation, we will need the information about a velocity field of blood flow. Therefore, we have proposed a bio-heat equation along with bio-continuity and momentum equations. With the aid of a local volume averaging, the macroscopic governing equations are derived from the microscopic governing equations, where the flow in the arterial and venous blood vessels is treated as one-dimensional pipe flow and the flow in the capillary blood vessels is approximated as the flow through porous media. Furthermore, we examine the boundary condition at the interface between the fluid and porous layers, and clarify the mechanism of the interfacial heat transfer between the artery (or vein) and the tissue.