title: Analytical solutions of Pennes bio-heat transfer equation with a blood vessel.
abstract: The heat transfer within a perfused tissue in the presence of a vessel is considered. The bio-heat transfer equation is used for the perfused tissue and a lumped capacitance analysis is used for the convection in the vessel with a constant Nusselt number. Analytical solutions are obtained for two cases: (i) the arterial temperature of the perfused blood in the bio-heat transfer equation is equal to the axially varying mixed mean temperature of the blood in the vessel and, (ii) that arterial temperature is assumed to be constant. Dimensionless equilibrium length and temperature expressions are obtained and presented.
authors.affiliation: Aerospace and Mechanical Engineering Department, University of Arizona, Tucson 85721.
authors.forename: H W
authors.initials: HW
authors.lastname: Huang
authors.forename: C L
authors.initials: CL
authors.lastname: Chan
authors.forename: R B
authors.initials: RB
authors.lastname: Roemer
mesh_terms: D000818:Animals; D001158:Arteries / Q000502:physiology*; D001831:Body Temperature; D001833:Body Temperature Regulation; D004285:Dogs; D004735:Energy Transfer; D005069:Evaluation Studies as Topic; D006979:Hyperthermia, Induced; D008433:Mathematics; D008955:Models, Cardiovascular; D013814:Thermal Conductivity