This partial calculator evaluates throat area and a selected ideal-gas choked mass-flow estimate from entered gauge pressure, throat diameter, temperature, heat-capacity ratio and discharge coefficient. It does not predict entrainment, soot pickup, suction, diffuser recovery or safe operating performance.
Steam Soot Sucker - Selected Ideal-Gas Choked-Flow Ledger
Explore selected ideal-gas choked throat-flow arithmetic and its entered discharge-coefficient scaling.
Equation Used
- Gauge pressure, throat diameter, temperature, heat-capacity ratio and discharge coefficient are entered values.
- One standard atmosphere is 101325 Pa and zero degrees C is 273.15 K.
- The water-vapor specific gas constant is fixed at 461.5 J/(kg K).
- The Mach-1 ideal-gas choking relationship is evaluated at the selected throat.
- Real-steam state, losses, back pressure, entrainment, diffuser behavior, soot removal and safety are excluded.
The secondary figure is an abstract throat-flow ledger, not a soot-sucker design.
Selected choked-flow ledger
Gauge pressure is converted to absolute pressure using one standard atmosphere. The NASA choked-flow relationship at Mach 1 is evaluated with selected gamma, water-vapor specific gas constant 461.5 J/(kg K), throat area and absolute temperature. The selected discharge coefficient then scales the ideal result.
What the calculator determines
Use it to inspect the stated ideal-gas throat-flow arithmetic. It cannot size or rate a soot sucker.
Selected relationships
A=pi d^2/4; P_abs=P_g+101325 Pa; m_dot_i=A P_abs sqrt(gamma/(R T)) [2/(gamma+1)]^((gamma+1)/(2(gamma-1))); m_dot_s=C_d m_dot_i.
Selected-input example
At 8 bar gauge, 8 mm throat, 205 degrees C, selected gamma 1.30 and selected discharge coefficient 0.95, the ledger reports the throat area, absolute pressure and both ideal and coefficient-scaled mass-flow estimates.
Not an ejector-performance model
Real-steam properties, phase state, pressure losses, nozzle contour, upstream piping, back pressure, shock structure, entrainment, mixing, soot loading, diffuser recovery, erosion and safety are excluded.
Questions
Does this predict flue-gas draw?
No. The source multiplied motive flow by an entered entrainment ratio; that is not an independently predicted ejector result and has been removed.
Does a positive angle margin prove diffuser performance?
No. The source subtracted an entered angle from seven degrees without modeling the diffuser, so that output has been removed.
Is the result a steam-table calculation?
No. It is explicitly an ideal-gas estimate with selected gamma and discharge coefficient.
Authoritative references
- NASA Glenn Mass Flow Choking — gives the compressible mass-flow relationship and its Mach-1 maximum.
- NIST Guide to the SI, Appendix B — defines one standard atmosphere as exactly 101325 Pa.
- NIST Chemistry WebBook: Water — identifies water vapor and its molecular weight, underlying the stated approximate water-vapor specific gas constant.
References & Further Reading
- Wikipedia contributors. Injector — Steam-jet ejector and related steam entrainment devices. Wikipedia
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