อัปเดต 2026-09-07

Blower / Compressor Rating

GPSA §13 / API 617 (centrifugal) + Roots PD variant

Single-stage centrifugal compression rating (density, isentropic & polytropic head, discharge temperature, gas/shaft power, IEC motor selection) from blowerRating.ts, plus the Roots (rotary positive-displacement) blower duty from rootsBlower.ts used for the EGAT B-201 sizing.

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Closed-form real-gas EOS + GPSA §13 / API 617 isentropic and polytropic head equations solved directly for the centrifugal case. The Roots PD blower has no pressure-ratio/head/BEP framing — its gas power is the transparent product W=Q·ΔP, and its irreversible discharge-port compression is captured by dividing the isentropic temperature rise by the blower efficiency.

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Real-gas inlet density & mass flow

ρ_{1} = \frac{p _{1} \times 1 0 ^{5} M W}{Z R T _{1}}, m ˙ = ρ_{1} \frac{Q _{1}}{3600}

p1 in bar a, T1 in K, MW in kg/kmol, R=8314 J/(kmol·K), Q1 actual m³/h at inlet conditions. GPSA Engineering Data Book §13 / Perry's §10 real-gas equation of state.

Isentropic (adiabatic) head & polytropic exponent

H_{a d} = \frac{Z R T _{1}}{M W} \frac{k}{k - 1} (r p^{\frac{k - 1}{k}} - 1), \frac{n - 1}{n} = \frac{k - 1}{k η _{p}}

rp=P2/P1 (pressure ratio); k=Cp/Cv (isentropic exponent); ηp = polytropic efficiency; H_ad in kJ/kg (÷1000 on the SI product). API STD 617 / GPSA §13 compressor head equations; T2_isen=T1·rp^((k-1)/k).

Gas/shaft power (centrifugal) & Roots (PD) power

P_{g a s} = \frac{m ˙ H _{a d}}{η _{i se n}}, P_{s ha f t} = \frac{P _{g a s}}{η _{m ec h}} Roots PD: W_{g a s} = Q Δ P, Δ T = T_{1} \frac{r p ^{\frac{k - 1}{k}} - 1}{η _{b l o w er}}

Centrifugal gas/shaft power per GPSA §13; motor selected as the next IEC frame ≥ P_shaft×(1+margin). Roots PD blower (rootsBlower.ts): W_gas is the transparent volumetric-displacement power (no head/efficiency curve); discharge ΔT is the isentropic rise divided by η_blower because PD compression is irreversible blow-down at the discharge port, so it runs hotter than an isentropic machine at the same ΔP.

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