MaximaLabs
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Multi-Stage Compressor simulation

1 inlet -> 1 outlet (N staged compressions with interstage cooling)

Governing equations

The exact equations the solver works for a multi-stage compressor — the same math shown in the app's "Theory" panel, not a black box.

r=(PoutPin)1/n(equal pressure ratio per stage)r = \left(\frac{P_{out}}{P_{in}}\right)^{1/n} \quad(\text{equal pressure ratio per stage})
S(T2s,k,Pk)=S(T1,k,Pk1)(stage k, same isentropic solve)S(T_{2s,k}, P_k) = S(T_{1,k}, P_{k-1}) \quad(\text{stage } k\text{, same isentropic solve})
TintercoolT1,k+1(isobaric cooling between stages)T_{\text{intercool}} \to T_{1,k+1} \quad(\text{isobaric cooling between stages})
r
per-stage pressure ratio
n
number of stages
k
stage index
T
temperature [K]
P
pressure [Pa]
S
molar entropy [J/mol/K]
T_{\text{intercool}}
intercooler target outlet temperature [K]

Parameters

outlet_pressure [Pa, > inlet]; n_stages [int, default 1]; efficiency [default 0.75]; intercool_temperature [K, default = inlet temperature]

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