Development and Application of the Twin Screw Expander

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Development and Application of the Twin Screw Expander ( development-and-application-twin-screw-expander )

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Energies 2020, 13, 6586 7 of 26 To analyze the geometrical parameters screw expander rotor, Qi et al. [18] used Pro/Engineer (PROE) software to establish a three-dimensional geometrical model of twin screw expander and to measure the change of base element volume, inlet orifice area and leakage area with the rotation angle of the male rotor. Then, according to the geometric parameters, a thermodynamic model based on continuity and energy conservation equation is established. Based on the simulation analysis of the three-dimensional CFD model of the screw expander, Papes I [19] studied the mass flow of four types of leakage channels. Dr. Hesse et al. [20] researched the heat transfer between gas and rotors and leakage flows through the clearances by CFD model of screw compressor simulation analysis. The simulation results show that the leakage mass flows for the four male rotor gaps (sum of axial and radial part) and six female rotor gaps; gap mass flows up to 3% of total mass flow can be seen on male rotor and up to 2% on female rotor. 2.2.3. Research on the Leakage of Working Fluid Condition Most researches on screw machine leakage are based on single-phase gas or single-phase liquid. Whereas, the real condition of working fluid of the screw machine is a mixture of oil and gas. The leakage state of the hypothesis is quite different from that of the actual leakage state. To solve this problem, Li et al. [21] provided a method for judging flow state of the leakage channel by comparing the relative size of the gap height, the thickness of the oil film and the leakage time. If the gap height is less than the thickness of the oil film, it is considered that the leakage is only a single-phase oil leakage. Otherwise, the oil and gas leakage can be calculated separately for the stratified flow of oil and gas, and then the total leakage of oil and gas can be obtained after the superposition. For the convenience of calculation, Wang et al. [22] treated the two-phase mixture as the homogeneous flow, and assumed that oil and gas are mixed evenly without phase transition. Based on this, the thermodynamic equilibrium between the two phases was achieved. Bein et al. [23] calculated the gas leakage from the exhaust process by the nozzle flow model, and corrected the influence of the existence of the actual lubricant on the gas leakage through empirical coefficient. However, there are too many uncertainties in the empirical value, which results in a large deviation from the actual leakage. 2.3. Research Status of Rotor Profile of Screw Expander The screw rotor can be considered to be obtained by spiral scanning of the outer ring profile of the rotor end around its axis and stipulates that the outer contour of the screw rotor end is the rotor profile. The rotor profile directly determines the geometric parameters, which decide the size of the leakage, such as the leakage triangle and the contact line length, etc. Therefore, the rotor profile determines the performance of the screw expander to a large extent [24]. 2.3.1. Development of the Rotor Profile of Screw Machine Since the successful design of the symmetric circular arc line in the 1930s, the new profile has been emerging with the continuous deepening of the research on the rotor profile. Throughout the history of the development of the rotor profile, the rotor profile design mainly experienced three stages [25]. The first stage is a symmetrical circular arc profile, as shown in Figure 6a. The type line is mainly composed of an arc and the mutual engagement of the arc envelope line together. The rotor profile of male rotor and female rotor are symmetrical. Because the design, manufacture and measurement of this profile are relatively straightforward, so far, the type line has been applied in some dry compressor production.

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