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EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER

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EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER ( empirical-modeling-lysholm-helical-screw-expander )

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PERFORMANCE MEASURES AND CALCULATIONS 23 The leakage rate from the intake chamber while the inlet is still openisthen: Where: ml is the leakage rate mi=mt-(Vf /VI) mt is the total flow rate Power is calculated as the product of torque and speed. Determination of efficiency, specific speed and specific size require calculation of the isentropic enthalpy drop, which represents the energy available from the stean for a . given pressure drop. Insentropic expansion of the steam implies a reversible adiabatic process. The isentropic enthalpy drop can be determined from the inlet state and the exhaust temperature or pressure. The inlet entropy is used to fix the isentropic exhaust state. h2s = h(T2, si) [Steaq Table Call1 dhs = hl -h2s . mere: hzs is the exhaust enthalpy for isentropic expansion T2 is the exhaust temperature dh, is the isentropic enthalpy drop The isentropic efficiency is then given as: EFFICIENCY= POWER / (mtdhs) The exhaust state can not be determined directly froa the available data. The exhaust state can, however, be approximated by assuming an adiabatic engine. The exhaust enthalpy is then determined through conservation of energy: h 2 = h i - POWER The exhaust quality, as well as other exhaust properties, can then be estimated using the steam table: x2 = x(T2, h2) [Steam Table Call] The specific speed (ns) and specific size(ds) are traditionally calculated as: ns = (N(mtvZs)1/2) / dhS3I4 ds = (Ddhsl/4) / (rnt~2~)1/2 Where: N is the engine speed [RPMI \

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