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Modeling of a Low Temperature Rankine Cycle for Small Scale Cogen

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Modeling of a Low Temperature Rankine Cycle for Small Scale Cogen ( modeling-low-temperature-rankine-cycle-small-scale-cogen )

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Sylvain Quoilin Chapter 5 : Models 5.2 Expander model The scroll expander model is based on compressor model proposed by E. Winandy in 1999. [Winandy, 1999]. The model of the expander is validated with water steam by V. Lemort in his DEA thesis, [Lemort, 2006]. The evolution of the fluid state through the expander is decomposed into the following steps: 1. Pressure drop (su → su,1­1) It is calculated by : Cthr ,su is the fluid velocity in the fictitious nozzle modeling the pressure drop. This pressure drop is not taken into account for the two first set of tests. 2. Cooling­down and pressure drop (su,1­1 → su,1) Vapor entering the expander experiences first a pressure drop and is next cooled down at the contact of the metallic mass of the expander (in supply line). For the purpose of the calculation, this heat transfer is assumed to occur between the fluid and a fictitious isothermal envelope (“wall”) at a temperature T w . The calculation of the heat exchange is carried out with the classical −NTU method : 76

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