This report presents a simple method for calculation of the performance of the supersonic gas ejectors which employ various gases as driving fluid and by which various gases are entrained. Many types of ejectors are widely used in the industries, for example, as ventilators in air conditioning or environmental and sanitary facilities, or as exhausters of various gases in the chemical plants. The kinds of driving gases and entrained gases of the ejectors are increasing, and a simple and useful method for calculation of the performance and design of the gas ejectors is required. The present study is one of answers for these requirements, but it treats only supersonic gas ejectors. For the efficiency of supersonic ejectors with supersonic nozzles is higher than that of subsonic or low pressure ejectors with subsonic or converging nozzles. On the other hand, although the noise in running of supersonic ejectors is troubled, the trouble of noise can be resolved by adoption of the multiple nozzle supersonic ejectors as shown in the author's previous report. For simplication of computation, the author uses the expression of the relations of adiabatic gas flows as functions of Mach number and the total pressure ratio for estimation of flow losses in nozzle, entrained gas flow path and diffuser, and developes a simple method and equations for calculation of the performance (i.e. relation between compression ratio or adiabatic efficiency and flow ratio) of supersonic ejectors under the following assumptions: (1) one dimensional flow (depending only state values of gases and independent of the distance of flow direction; (2) ideal gases (pv=RT); (3) adiabatic flow; (4) mechanical mixing (with no chemical reactions) and (5) generation of normal shock following completion of mixing. By application of the method and equations to the calculation of performance of supersonic gas ejectors which are used for various kinds of gases, and comparison of the computational values and the experimental values by the other investigators such as L.T. Work and V.W. Haedrich, and it is made clear that the method is valid and useful for practical applications, and besides that the present method can be applied not only to the supersonic gas ejectors with cylindrical-diverging diffusers but also to the supersonic gas ejectors with converging-cylindrical-diverging diffusers, such as steam ejectors, which are used for high inlet pressure ratio and small flow ratio. After demonstration of validity and usefulness of the method and equations, the effects of flow losses in nozzle, entrained gas flow path and diffuser on the performance are investigated making use of total pressure ratio of each part contained in the equations, the effects of mollecular weight of gases on the performance are also investigated. In conclusion, it is made clear that: (1) The present method for caluculation of the performance of supersonic gas ejectors is valid and useful. (2) The effect of flow losses in nozzle on the performance is not negligible in the case of the ejectors for high inlet pressure ratio and small flow ratio but negligible in the case of the ejectors for low inlet pressure ratio and large flow ratio. (3) The effects of flow losses in entrained gas flow path is negligible. (4) The effects of flow losses in diffuser is serious. (5) The compression ratio is larger for larger molecular weights of driving gases and entrained gases, but the effects of molecular weights of gases on compression ratio is small. The effects on adiabatic efficiency, however, is large. In addition, a method for the design of the optimum ejectors will be discussed in the second article.
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