Question

A concentric tube arrangement, for which the inner and outerdiameters are 80mm and 100mm, respectively, is used to remove heatfrom a biochemical reaction occurring in a 1-m-long settlingtank. Heat is generated within the tank at a rate of 10^5W/m^3, and water is supplied to the annular region at a rate of 0.2kg/s
Reaction Tank:
q(prime)=1*10^5 W/m^3
L=1m
mass flow rate = 0.2 kg/s
di=80mm do=100mm
Part (a):
Determine the inlet temperature of the supply water that willmaintain an average tank surface temperature of 37 degrees C. Assume fully developed flow and thermal conditions. Is this assumption reasonable?

(b) It is desired to have a slight axial temperature gradient on the tank surface, since the rate of the biochemical reaction is highly temperature dependent. Sketch the axial variation of the water and surface temperatures along the flow direction for the following two cases: (i) the fully developed conditions of part (a), and (ii) conditions for which entrance effects are important. Comment on features of the temperature distributions. What change to the system or operating conditions would you make to reduce the surface temperature gradient?

Especially b!!!!!

Answer 1