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Where delta E is the change in energy which is equal to zero for a cycle, Qin is the heat added to the boiler from the waste heat application, Qout is the heat rejected to the environment from the condenser, Wout is the work produced by the turbine generator combination, and Win is the work required by the pump to move the working fluid. The analysis began with state three, the outlet to the boiler. Since it was desired that the fluid be in vapor form at the exit of the turbine the quality of state three was specified to be one. The pressure for the first iteration of the analysis was chosen as the saturation pressure of the fluid when the temperature was close to the theoretical input temperature of 200 degrees Fahrenheit. The temperature of state three was then assumed to be the temperature at which the quality was one and the pressure was equal to the saturation pressure. With two independent properties defined, RefProp could be used to determine the enthalpy, density, specific heat, and entropy of the fluid at state three. Since state three was determined and the work output desired from the turbine as well as the mass flow rate of the refrigerant was known, state four’s properties could be calculated. Using the ideal assumption that the expansion in the turbine happens isentropically the entropy in state four should be equal to the entropy in state three. Another independent property is still required to calculate all the variables within state four. To calculate this needed variable the work of the turbine was used and the equation for work output from a cycle was modified and is shown in equation 2.4 and 2.5 below. (2.4) (2.5) 27PDF Image | NESTER, RYAN TIMOTHY. Organic Rankine Cycles: A Comparative Study and Analysis of Multiple Applications.
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