Component 614: Ideal Gas Nozzle by HVACSIM+ General Description Component 614 models a convergent nozzle for any ideal gas and assumes the nozzle to be isentropic, adiabatic, and without condensation. The model calculates a mass flow rate and exit temperature given the upstream stagnation pressure and temperature and the downstream pressure. The model uses absolute pressures internally, but allows the input and output pressure to be gage pressures. The second parameter is the absolute pressure corresponding to zero gage pressure. The third and fourth parameters specify properties of the ideal gas. Nomenclature A - nozzle exit cross sectional area P - pressure T - temperature w - mass flow rate y - specific heat ratio, Cp/Cv Subscripts c - critical e - exit o - stagnation Mathematical Description The two input pressures are first converted from gage to absolute pressures by addition of the second parameter, which represents the absolute pressure corresponding to zero gage pressure. The critical pressure ratio is then defined as: Pc = C1^(-C2) where C1 = 2/(1 + y) C2 = y/(1 - y) The method used to determine the flow rate depends on the critical pressure ratio and on another pressure ratio, Ra: Ra = Pe/Po The maximum flow rate is obtained when the pressure ratio, Ra, is less than or equal to the critical pressure ratio: w = 1000*A*Po*[(y*C1^(C2*C3)) / (R*To)]^0.5 where C3 = (1 + y)/y Otherwise, the flow rate is defined by w = 1000*A*Po*[(2*C2*{Ra^(C1*C3) - Ra^C3}) / (R*To)]^0.5 Lastly, the exit temperature is defined by the following equation: Te = To*Ra^(-1/C2) Component 614 Configuration Inputs Description 1 Po - upstream stagnation pressure (kPa, gage) 2 Pe - downstream pressure (kPa, gage) 3 To - stagnation temperature (C) Outputs Description 1 w - mass flow rate (kg/s) 2 Te - exit temperature (C) Parameters Description 1 A - nozzle exit cross sectional area (m^2) 2 Pr - absolute pressure corresponding to zero gage pressure (kPa) 3 y - ratio of specific heats ( - ) 4 R - gas constant per unit mass (J/kg-K) Reference: 1. HVACSIM+ Building Systems and Equipment Simulation Program Reference Manual (NBSIR 84-2996) Daniel R. Clark United States Department of Commerce National Institute of Standards and Technology Gaithersburg, Maryland 20899-0001