final_exam - Buongiorno, Spring 2007 22.313J, 2.59J, 10.536J

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22.313J, 2.59J, 10.536J THERMAL-HYDRAULICS IN POWER TECHNOLOGY Tuesday, May 22 nd , 2007, 9 a.m. – 12 p.m. OPEN BOOK FINAL 3 HOURS Problem 1 (35%) – Steady-state natural circulation in a steam generation system Saturated steam at 3 MPa (properties in Table 1) is used in a certain factory. The steam is generated by the system shown in Figure 1, which consists of a natural gas-fired heater, a riser of height L , a steam separator of form loss K , and a downcomer. The makeup flow can be assumed to be saturated water at 3 MPa. The riser and the steam separator have the same flow area, A . Downcomer Q Heater Riser Steam separator Dry saturated steam to the factory Makeup water L g Figure 1. Schematic of the steam generation loop i) Using the conservation equations and their constitutive relations, find a single equation from which the mass flow rate in the loop, m , could be found as a function of the heat rate, Q , and the parameters A , L and K , i.e., f( m ,Q ,A,L,K)=0 . (20%) ii) Find m for the two limit cases Q =0 and Q = m h fg . Do you think the m vs Q curve (with fixed A , L and K ) could have a maximum between these two limits? Explain your
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This note was uploaded on 11/27/2011 for the course CHEMICAL E 20.410j taught by Professor Rogerd.kamm during the Spring '03 term at MIT.

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final_exam - Buongiorno, Spring 2007 22.313J, 2.59J, 10.536J

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