Blood Flow Convection Single blood vessel embedded in a tissue cylinder with its outer surface at constant T. Known: 6,P6,C6,k6,T(0),Tm(0) P,C,,6,7, Find: Z(r Ave.(bulk)blood temp. Z(x) Vessel wall temp. Assumptions:steady-state;=O fully developed flow and thermal fields within the vessel->neglecting end effects up-ave.blood flow velocitySingle blood vessel embedded in a tissue cylinder with its Single blood vessel embedded in a tissue cylinder with its Single blood vessel embedded in a tissue cylinder with its Single blood vessel embedded in a tissue cylinder with its outer surface at constant T outer surface at constant T outer surface at constant T outer surface at constant To . Known: Find: Assumptions: steady- state; Assumptions: steady- state; Assumptions: steady- state; Assumptions: steady- state; fully developed flow and thermal fields within fully developed flow and thermal fields within fully developed flow and thermal fields within fully developed flow and thermal fields within the vessel- the vessel- the vessel- the vessel-� neglecting end effects neglecting end effects neglecting end effects neglecting end effects ub—ave. blood flow velocity . blood flow velocity . blood flow velocity . blood flow velocity 0 , , , , , , , , , (0), (0) c k r r T u c k T T t t t b t b b b b b w ρ ρ ( ) ( ) T x T x w b Ave. (bulk) blood temp. Ave. (bulk) blood temp. Ave. (bulk) blood temp. Ave. (bulk) blood temp. Vessel wall temp. Vessel wall temp. Vessel wall temp. Vessel wall temp. q̇ = 0 Blood Flow Convection Blood Flow Convection Blood Flow Convection Blood Flow Convection Blood Flow Convection Blood Flow Convection Blood Flow Convection Blood Flow Convection