Pressurized water (pin = 10 bar, Tin = 110 degree C) enters the bottom of an L =

Question

Pressurized water (pin = 10 bar, Tin = 110 degree C) enters the bottom of an L = 10-m-long vertical tube of diameter 1 D = 100 mm at a mass flow rate of m = 1.5 kg/s. The tube is located inside a combustion chamber, resulting in heat transfer to the tube. Superheated steam exits the top of the tube at pout = 7 bar, Tout = 600 degree C. Determine the change in the rate at which the following quantities enter and exit the tube: (a) the combined thermal and How work, (b) the mechanical energy, and (c) the total energy of the water. Also, (d) determine the heat transfer rate, q. Hint: Relevant properties may be obtained from a thermodynamics text.

Explanation / Answer

Case-1 Fix hot side flow, T1, T2 and calculate Q Based on calculated Q, cold side flow,cold T1 find cold side T2 For a given config Q = U A Dt (Assume some value of Ud), you will get the Area Let us assume this area as Area available ie actual area of hex Case-2 Reduce the value of Ud compared to the value which was earlier assumed by you Thus the area calculated will increase. Increase the hot side outlet temp (& thus reduce the Q & also have impact on LMTD) till area required matches area available.

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