How would the answer to Prob. 11–141 be altered if we tried to approximate the heat transfer loss through the blood vessel with a fouling factor to describe physiological inhomogeneities? Assume that the fouling factor for the artery is 0.0005 m² · K/W and the fouling factor for the vein is 0.0003 m² · K/W.

Data from problem 141

Calculate the total thermal resistance of the cardiovascular heat exchanger, assuming that the thermal conductivity of the system is k = 0.670 W/m · K and the convection heat transfer coefficients are hartery = 300 W/m² · K and h_vein = 190 W/m² · K. The artery has an exterior diameter of 500 mm, the vein has an exterior diameter of 600 mm and the length of both blood vessels is 50 cm.