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Sylvain Quoilin Chapter 5 : Models 3. Isentropic expansion (su,1 → ad) Since the expander is a volumetric machine, the pressure ratio is a constant (at a constant supply specific volume). There will therefore be an “adapted” pressure given by : Where Pr, in, exp is the adapted pressure. The expansion between the supply pressure and the adapted pressure is assumed to be isentropic. 4. Expansion at a fixed volume (ad → ex,2) As the adapted pressure imposed by the pressure ratio is not necessarily equal to the exhaust pressure, a second expansion (that can also be a compression) takes place from the adapted pressure to the exhaust pressure. This second expansion is realized at a fixed volume. The work produced is thus expressed by : 5. Mixing between suction flow and leakage flow (ex,2 → ex,1) The leakage flow passes directly from the high pressure zone to the low pressure zone without producing any useful work. It is hence bled at the (su,1) level and mixed with the outlet of the expansion. The leakage flow rate is characterized by a fictitious leakage area. 6. Coolingdown or heatingup (ex,1 → ex) The flow passes through a second fictitious heat exchanger at the exhaust of the expander. The wall temperature is assumed to be the same than that of the inlet. The heat exchange is calculated with the same equation than for step n° 2. In addition, ambient losses from the wall temperature to the ambient temperature are defined : 77PDF Image | Modeling of a Low Temperature Rankine Cycle for Small Scale Cogen
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