In considering the question of the determination of the temperature in the cavities of a refrigerating machine it is assumed that there is no interaction of the gas with the elements forming the working cavities of the machine, and no hydraulic resistance.With these assumptions the problem is reduced to a consideration of a system of five equations: two equations for the change in mass in the cavities, two equations for the change in the energy balance in the cavities, and one for the constancy of mass in the machine.The energy balance equation for a cold cavity when there is no heat exchange [1] will have the following form:U doe * dOE dTE ARO E T dp where U \---~"/= for dGE<0 and U =1 for dGE>0; T E is the temperature in the cavity; T* E is the temperature of the gas entering the cavity; p is the pressure in the cavity; G E is the mass of gas in the cavity.Under conditions of mass discharge from the working cavity, dG/do~ <0, this equation is transformed into the adiabatic function:L'--I where TE0 and P0 are the temperature and pressure in the cavity when dGE/dC~ =0; k is an adiabatic exponent.When dGE/dO~ >0 the energy balance equation for the cold cavity takes the form , dOE dTE RTE dp
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