Consider the pharmaceutical product of Problem 8.27. Prior to finalizing the manufacturing process, test trials are performed to experimentally determine the dependence of the shelf life of the drug as a function of the sterilization temperature. Hence, the sterilization temperature must be carefully controlled in the trials. To promote good mixing of the pharmaceutical and, in turn, relatively uniform outlet temperatures across the exit tube area, experiments are performed using a device that is constructed of two interwoven coiled tubes, each of 10-mm diameter The thin-walled tubing is welded to a solid high thermal conductivity rod of diameter Dr = 40 mm. One tube carries the pharmaceutical product at a mean velocity of up = 0.1 m/s and inlet temperature of 25°C, while the second tube carries pressurized liquid water at uw = 0.12 m/s with an inlet temperature of 127°C. The tubes do not contact each other but are each welded to the solid metal rod, with each tube making 20 turns around the rod. The exterior of the apparatus is well insulated.

(a) Determine the outlet temperature of the pharmaceutical product. Evaluate the liquid water properties at 380 K.

(b) Investigate the sensitivity of the pharmaceutical's outlet temperature to the velocity of the pressurized water over the range 0.10

Heating fluid in Pharmaceutical in 40 mm