Comprehensive Settle-Out Calculator

Thermodynamic Properties

Suction Side

    Discharge Side

      Calculated Volumes

      Suction Gas Volume (Vβ‚›): -
      Discharge Gas Volume (Vₐ): -
      Total Gas Volume: -

      Settle-Out Conditions

      Settle-Out Temperature: -
      Settle-Out Pressure: -

      Methodology

      1. Gas moles (n) from PV = ZΒ·nΒ·RΒ·T (ideal gas with Z-correction).
      2. Total internal energy is conserved and approximated using mole-weighted temperature (same gas, constant Cv).
      3. J–T cooling of discharge gas is applied based on ΞΌJT and expansion from Pₐ to settle-out pressure.
      4. Final P and T are solved iteratively from the combined mass & energy balance.

      Technical Notes

      Variable Definitions

      • Vs, Vd: Total gas volumes (vessel gas space + connected piping) on suction and discharge sides.
      • Ps, Ts, Zs: Suction-side pressure, temperature, and compressibility factor at trip time.
      • Pd, Td, Zd: Discharge-side pressure, temperature, and compressibility factor at trip time.
      • ΞΌJT: Joule–Thomson coefficient used to approximate temperature change during pressure equalisation.
      • Pso, Tso: Final settle-out (equalised) pressure and temperature after isolation and mixing.

      Formulas / Logic

      • Gas moles (real-gas corrected ideal form): n = (PΒ·V)/(ZΒ·RΒ·T), with R = 8.314462618 J/molΒ·K.
      • Settle-out EOS: Pso = (ZsoΒ·ntotΒ·RΒ·Tso)/Vtot.
      • Energy balance (screening): assumes the same gas throughout and approximately constant Cv, so Tso is computed as a mole-weighted temperature.
      • Joule–Thomson cooling (screening): discharge gas temperature adjusted as Td,eff = Td βˆ’ ΞΌJTΒ·Ξ”P, with Ξ”P taken from discharge pressure down to current Pso.
      • Solution method: fixed-point iteration updates Tso and Pso until changes are small.

      Assumptions / Notes

      • This calculator is intended for engineering screening. For final design, use a validated EOS and system model (including real equipment volumes, elevation, and heat transfer).
      • No heat transfer is assumed during equalisation (adiabatic/short-time settle-out). If long duration, ambient heat exchange can shift Tso.
      • Single gas composition is assumed (no phase change and no significant composition change). If condensation is possible, a rigorous flash calculation is required.
      • Piping database uses a simplified internal ID table (Sch 40). For accuracy, confirm against project piping class/spec.
      • References (industry practice): API 617 (centrifugal compressors) and ASME PTC 10 (compressors and exhausters) provide context for compressor system practices; settle-out evaluation is commonly performed using mass + energy balance with appropriate property methods.
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