Thermal Equilibrium Length A single vessel imbedded in a large tissue cylinder the length along which the temperature difference between the blood and tissue decays to (1/e)of the initial difference T(x=1)-=(T(0)-T)e≈36.79%(T(0)-) From previous analysis: T(x)-T=((0)-e 1=x+g2the length along which the temperature the length along which the temperature the length along which the temperature the length along which the temperature difference between the blood and tissue difference between the blood and tissue difference between the blood and tissue difference between the blood and tissue decays to (1/e) of the initial difference decays to (1/e) of the initial difference decays to (1/e) of the initial difference decays to (1/e) of the initial difference Thermal Equilibrium Length Thermal Equilibrium Length Thermal Equilibrium Length Thermal Equilibrium Length Thermal Equilibrium Length Thermal Equilibrium Length Thermal Equilibrium Length Thermal Equilibrium Length A single vessel imbedded in a large tissue cylinder A single vessel imbedded in a large tissue cylinder A single vessel imbedded in a large tissue cylinder A single vessel imbedded in a large tissue cylinder A single vessel imbedded in a large tissue cylinder A single vessel imbedded in a large tissue cylinder A single vessel imbedded in a large tissue cylinder A single vessel imbedded in a large tissue cylinder e l ( ) ( (0) ) 36.79%( (0) ) 0 1 Tb x = l e − T0 = Tb − T0 e ≈ Tb − T − elx T x T T T e b b − ( ) − = ( (0) − ) 0 0 From previous analysis: From previous analysis: From previous analysis: From previous analysis: ) 2 ln( / ) 4 1 ( 2 t t b b e b b b b k r r k l = u r ρ C +