a) In a particular application steam at a temperature of 100 C condenses on the outside of a cylinder of diameter 1 cm. The outside surface heat-transfer coefficient can be calculated as a function of the "vapour to wall surface" temperature difference from the following correlation - a = 28300AT4 Where a is in W/m'K and AT is in K. If the average heat flux, based on the outside wall surface area, is 200 kW/m2, use the above equation to estimate the outer surface temperature. (For more details on Condensation Heat Transfer and the physics behind the above equation, see later in this module) 20 marks b) In a) above, the inside diameter and thermal conductivity of the cylinder are 0.7 cm and 120 W/m K respectively. Calculated the inside surface temperature (assumed uniform). 15 marks c) In a) and b) above, the tube has a length of 1 m and is cooled by water entering at 20 C. Show (taking coolant properties as "saturated liquid" values at the inlet temperature) that the coolant outlet Celsius temperature T, and the coolant velocity u / (m/s), are related by A T2 ==+B Evaluate A and B. 25 marks d) Assuming in a) to c) above, that the coolant-side heat transfer is represented by: Nu = 0.023 Re0.8 P0.3 where the effective wall-to-coolant temperature difference may be taken as the wall temperature minus the arithmetic mean of the coolant inlet and outlet temperatures, show that T, and u are also related by D T2 = C-LE Evaluate C, D and E. 30 marks