Supersonic Isentropic Nozzle Calculator

This calculator computes the paramters for an ideally-expanded isentropic supersonic nozzle using the 1D isenropic relationships. With this you can estimate how much thrust you can get out of a supersonic nozzle, how much power is required to compress the air, among many other variables.
Values in bold are inputs.


1. Inputs
Ideally-expanded Mach Number [M]
Working Fluid
Gas Constant [R] (J/Kg.K)
Specific Heat Ratio [ɣ]
Stagnation Pressure [P0] (Pa)
Stagnation Temperature [T0] (C)
Stagnation Density [ρ0] (Kg/m3)
Ambient Pressure [Pamb] (Pa)
Throat Diameter [D*] (mm)
"Stagnation" Pipe Diameter [D0] (mm)
2.1. Isentropic Flow Equation Ratios:
Nozzle Pressure Ratio (NPR) [P0/P]
Nozzle Temperature Ratio (NTR) [T0/T]
Density Ratio [ρ0/ρ]
Throat Pressure Ratio [P*/P]
Throat Temperature Ratio [T*/T]
Throat Density Ratio [ρ*/ρ]
Exit Area Ratio [A/A*]
2.2. Physical Nozzle Conditions:
2.2.1. Throat Conditions:
Throat Temperature [T*] (C)
Throat Pressure [P*] (Pa)
Throat Density [ρ*] (Kg/m3)
Speed of Sound at Throat [a*] (m/s)
2.2.2. Exit Conditions:
Exit Temperature [Te] (C)
Exit Pressure [Pe] (Pa)
Exit Density [ρe] (Kg/m3)
Speed of Sound at Exit [ae] (m/s)
Exit Velocity [ve] (m/s)
2.2.3. Inlet Conditions:
Inlet Temperature [T0] (C)
Inlet Pressure [P0] (Pa)
Inlet Density [ρ0] (Kg/m3)
Speed of Sound at Inlet [a0] (m/s)
Inlet Velocity [v0] (m/s)
Inlet Mach Number [M0]
2.2.4. Physical Dimensions:
Nozzle Throat Area [A*] (mm2)
Nozzle Exit Area [Ae] (mm2)
Nozzle Exit Diameter [De] (mm)
2.3. Nozzle Flow Properties:
Mass Flow Rate [ṁ] (g/s)
Thrust (N)
Compressor Power (W)
Flow Power (W)