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4- Consider the following set of equations derived from the modeling of a forced circulation evaporator shown in Fig. 1. AsdtdL2=F1F2F4;MdtdX2=F1X1F2X2CdtdP2=F4F5T2a2P2b2X2c2=0(g1)T3a3P2c3=0(g2)F4[Q100+F1CP1(T1T2)]=0(g3)T100aTP100cT=0(g4)Q100aq(F1+F3)(T100T2)=0(g5) F100sQ100=0Q200(1+(2CPF200UA2))UA2(T3T200)=0T201T200CPF200Q200=0F5Q200=0 The seven (7)
4- Consider the following set of equations derived from the modeling of a forced circulation evaporator shown in Fig. 1. AsdtdL2=F1F2F4;MdtdX2=F1X1F2X2CdtdP2=F4F5T2a2P2b2X2c2=0(g1)T3a3P2c3=0(g2)F4[Q100+F1CP1(T1T2)]=0(g3)T100aTP100cT=0(g4)Q100aq(F1+F3)(T100T2)=0(g5) F100sQ100=0Q200(1+(2CPF200UA2))UA2(T3T200)=0T201T200CPF200Q200=0F5Q200=0 The seven (7) parameters are specified: As,M,C,CP,,S,UA2. All constants ai,bj,ck in the thermo-physical correlations are known. Other variables are given on the schematic. (a) Using the model equations and the evaporator schematic, analyze the equations to see if it is possible to solve the algebraic equations in a sequential manner. Make use of the digraph analysis to do this (20 pts). (b) Give the solution sequence for this structured set of algebraic equations (15 pts). Fig. 1: Forced circulation evaporator system
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