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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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1 INTRODUCTION 2 include ruggedness and reliability. The use of Lysholmls design a s an engine has been suggested in several applications including use in geothermal energy conversion. In 1973, R. Sprankle patented t h e use of t h e Lysholm engine with wells quality of less than 15%[31. Testing of the Lysholm since been conducted by Sprankle, by the Lawrence Laboratory[4], and currently by the Department of Engineering a t U.C. BerkeleyE51. having a engine has Livermore Mechanical In use as an engine, the Lysholm machine accepts pressurized fluid into the chambers as they are formed by the lobes of the meshing rotors. The chambers then expand as they move down the mesh line, extracting energy from the fluid. The fluid is exhausted when the chamber reaches the end of the rotor. The theoretical volunetric expansion ratio is determined by engine geoinetry. Expansion ratios of up to around 5 are considered practical[61. The pressure distribution through the engine is dependent on the expansion process. The pressure in the exhaust line, however, is dependent on the characteristics of the other parts of the system. Thus, the pressure in a chamber just before it opens to the exhaust port is not necessarily the same as that in the exhaust line. If the pressure in the chamber is less than the exhaust pressure, power is required to exhaust the fluid. If the chamber pressure is higher than the exhaust pressure, there is an expansion of fluid without work done on the engine. The power output and efficiency are thus heavily dependent on the exhaust pressure imposed on the engine. The expansion process occuring i n each chamber is very efficient. There is, however, a large amount of leakage inherently present in the configuration. The leakage can be divided into two main catagories. There is leakage fra, chamber to chaqber between t h e rotors and casing and through a llblowholell formed by the imperfect meshing of the rotors. There is also leakage through the mesh line into the exhausting chambers. The main inefficiency in the engine is due to the isenthalpic expansion during leakage. Because leakage fraction is dependent on engine speed and steam quality, efficiency and power output \

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