Chapter 1, Problem 1.46P

A blood warmer is to be used during the transfusion of blood to a patient. This device is to heat blood taken from the blood bank at $10°\text{C}$ to $37°\text{C}$ at a flow rate of $200\text{ml/min}\text{.}$ The blood passes through tubing of length 2 m, with a rectangular cross section $6.4\text{mm}\times 1.6\text{mm}$ At what rate must heat be added to the blood to accomplish the required temperature increase? If the fluid originates from a large tank with nearly zero velocity and flows vertically downward for its 2-m length, estimate the magnitude of kinetic and potential energy changes. Assume the blood’s properties are similar to those of water.