Temperature after refrigeration

Input(s)

$T_{i}$: Input Temperature (K)

$\mathrm{P}_{\mathrm{i}}$: Input Pressure (psi)

$\mathrm{P}_{\mathrm{o}}$: Output Pressure (psi)

E: Isentopic Efficiency (dimensionless)

$\mathrm{m}$: Cycle Efficiency (dimensionless)

Output(s)

$T_{o}$: Output Temperature (K)

Formula(s)

$$ \mathrm{T}_{\mathrm{o}}=\mathrm{T}_{\mathrm{i}}+\mathrm{T}_{\mathrm{i}} *\left(\left(\left(\frac{\mathrm{P}_{\mathrm{o}}}{\mathrm{P}_{\mathrm{i}}}\right)^{\mathrm{m}}\right)-1\right) * \mathrm{E} $$

Reference(s)

John M. Campbell, Gas Conditioning and Processing, Campbell Petroleum Series, Oklahoma, 1992, Vol. 2, Page: 254.