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Deaerator Mass and Energy Balance Boiler Feedwater Calculator

Calculate stripping steam demand, mass balance, saturation conditions, and boiler feedwater delivery for industrial spray-and-tray thermal deaerators.

Flow rate of cold treated raw make-up water.

Inlet temperature of raw make-up water.

Flow rate of recovered return condensate.

Inlet temperature of return condensate.

Vessel operating pressure (typically 0.2 to 0.5 bar gauge).

Calculated Result
4345.5 kg/hr

Required Stripping Steam

Deaerated Feedwater Output

54323.8 kg/hr

Saturation Operating Temp

108.5 °C

Steam Addition Ratio

8.69 %

Vent Steam Loss Rate

21.73 kg/hr

Calculation Breakdown

  1. Deaerator Saturation TemperatureT_sat at 0.35 bar-g (1.36 bar-a) => 108.5 °C
  2. Stripping Steam Flow Required (M_s)M_s · (h_g - h_f) = M_mu·(h_d - h_mu) + M_c·(h_d - h_c) => 4345.5 kg/hr
  3. Final Boiler Feedwater Discharge (M_out)M_out = M_mu + M_c + M_s - M_vent => 54323.8 kg/hr

Deaerator Mass Flows

Interactive visualization based on your current inputs

Flow
0.014274154Make-up WaterCondensateSteam InFeedwater OutStreamFlow (tonne/hr)

What Is the Deaerator Mass and Energy Balance Boiler Feedwater Calculator?

Calculate stripping steam demand, mass balance, saturation conditions, and boiler feedwater delivery for industrial spray-and-tray thermal deaerators.

The Deaerator Mass and Energy Balance Boiler Feedwater Calculator is an analytical tool in the physics domain designed to evaluate Cold Make-up Water Flow, Make-up Water Temperature, Hot Condensate Return Flow, Condensate Return Temperature, Deaerator Operating Pressure using verified mathematical equations. It provides reproducible, deterministic calculations for academic, professional, and practical applications.

How Does the Deaerator Mass and Energy Balance Boiler Feedwater Calculator Work?

This calculator computes results by taking input values for Cold Make-up Water Flow, Make-up Water Temperature, Hot Condensate Return Flow, Condensate Return Temperature, Deaerator Operating Pressure and applying the governing equation: Heat required to elevate blended make-up and condensate to saturation temperature is supplied by condensing latent heat of stripping steam.. Values are checked for dimensional consistency and processed through standard arithmetic routines.

Deaerator Mass and Energy Balance Boiler Feedwater Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Ms=Mmu(hd−hmu)+Mc(hd−hc)(1−fv)(hg−hd),Mout=Mmu+Mc+(1−fv)MsM_s = \frac{M_{mu}(h_d - h_{mu}) + M_c(h_d - h_c)}{(1 - f_v)(h_g - h_d)}, \quad M_{out} = M_{mu} + M_c + (1 - f_v) M_s

Heat required to elevate blended make-up and condensate to saturation temperature is supplied by condensing latent heat of stripping steam.

How to Use the Deaerator Mass and Energy Balance Boiler Feedwater Calculator

  1. Enter your value for Cold Make-up Water Flow in kg/hr.
  2. Enter your value for Make-up Water Temperature in °C.
  3. Enter your value for Hot Condensate Return Flow in kg/hr.
  4. Enter your value for Condensate Return Temperature in °C.
  5. Enter your value for Deaerator Operating Pressure in bar-g.
  6. Verify your input parameters to ensure they match your design or problem specifications.
  7. Review the calculated results, intermediate mathematical steps, and graphical visualization below.

Step-by-Step Example Calculation

50-Tonne Industrial Steam Plant Deaerator

Input Values:

makeupWaterFlowKgPerHr:15000.0
makeupWaterTempC:20.0
condensateReturnFlowKgPerHr:35000.0
condensateReturnTempC:80.0
operatingPressureBarG:0.35
Worked Steps: Requires 4,320 kg/hr of stripping steam to sustain 108.4 °C saturation, producing 54,298 kg/hr of degassed boiler feedwater.

Understanding Your Result

The calculated output gives the primary solution for Deaerator Mass and Energy Balance Boiler Feedwater under the specified conditions. Use this value to compare against standard design tolerances, benchmarks, or reference ranges in physics.

Factors That Affect the Result

  • Input precision and measurement accuracy of Cold Make-up Water Flow, Make-up Water Temperature, Hot Condensate Return Flow, Condensate Return Temperature, Deaerator Operating Pressure.
  • Operating conditions, environmental parameters, and specific physics tolerances.
  • Boundary constraints and deviations from nominal theoretical model assumptions.

When Should You Use This Calculator?

  • When performing technical analysis or dimensioning related to Deaerator Mass and Energy Balance Boiler Feedwater.
  • To cross-verify manual calculations or theoretical models in physics.
  • For preliminary estimates before conducting detailed field measurements or laboratory testing.

Assumptions & Limitations

  • Operating at 0.35 bar gauge maintains feedwater at approximately 108 °C, driving Henry’s law gas solubility towards zero.
  • Continuous vent steam ejection (0.5% - 1.0%) purges released non-condensable O₂ and CO₂ vapors to atmosphere.

Frequently Asked Questions

Why is mechanical deaeration necessary before chemical oxygen scavenging?+
Thermal deaeration removes over 99% of dissolved gases cheaply with steam. Using chemical scavengers like sodium sulfite alone without thermal stripping would be prohibitively expensive and increase boiler dissolved solids.
What happens if deaerator operating pressure drops below atmospheric?+
A vacuum condition pulls outside air into the vessel through seals and vents, re-oxygenating feedwater and accelerating boiler corrosion.

Calculation Accuracy & Reference Note

This calculator implements verified mathematical formulas for Deaerator Mass and Energy Balance Boiler Feedwater Calculator. Always verify critical results against official domain standards and manufacturer documentation.

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