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Sylvain Quoilin Chapter 4 : Description of the experiments 4.2.4.2 Expansion device calculation. A simulation of the expansion tank is performed in order to calculate the minimum volume required to get a good smoothing of the flow rate curve. The instantaneous theoretical flow rate V ̇ of the pump is a semisinusoid calculated on the basis of the displaced volume and on the stroke frequency. It is split into two flows V ̇1 and V ̇2 : The flow rate V ̇1 entering the expansion tank is linked by the liquid level in the tank by the relation : The flow rate V ̇2 leaving the system depends on the hydraulic resistance of the valve : It can be considered that the heat exchange between the tank and the ambient is negligible. The expansion / compression of the gas is supposed reversible, adiabatic, and thus isentropic : p and v beingthereferencepressureandspecificvolumecorrespondingtoan8barpressureand a temperature of 25°C. The hydraulic resistance of the liquid line pumpevaporator is identified from the first set of tests. Its 13 Pa⋅s2 approximate value is Ropenvalve=0.8⋅10 m6 . The effect of closing the valve is modeled by multiplying this resistance by a factor K. K=1 corresponds to a wide open valve. The differential equation is solved using EES on a 5 seconds period. Figure 30 shows the results of the simulation for the following conditions : – Tank volume : 5 liters – The tank is initially empty and at a pressure of 1 bar – The pressure drop regulation valve is wide open – When the tank is connected to the circuit, it is filled by the refrigerant and the pressure is increased up to 8 bars. The simulation is started when this pressure is reached. Figure 29: Expansion tank 59PDF Image | Modeling of a Low Temperature Rankine Cycle for Small Scale Cogen
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