Evaporator Design Calculator
Design a single-effect evaporator: calculate evaporation rate, steam requirements, heat duty, and required heat transfer area.
About this calculator
This calculator sizes a single-effect evaporator in two separate stages that don't interact with each other. First, a mass balance (Feed Rate times Feed Concentration equals Product Rate times Product Concentration) determines the Evaporation Rate -- how much water has to leave as vapor to concentrate the feed from its starting solids fraction to the target solids fraction -- using only Feed Rate, Feed Concentration, and Product Concentration. Because Evaporation Rate is a pure mass-balance result, Feed Rate is the strongest driver of the six inputs by a wide margin, while Steam Pressure, Boiling Point Elevation, and Overall Heat Transfer Coefficient are completely inert with respect to it -- those three inputs only affect the second stage, sizing the heat transfer equipment needed to deliver that already-determined evaporation duty.
Heat Duty converts the evaporation rate to an energy requirement using a fixed latent heat of vaporization for water (about 2,260 kJ/kg, a typical single-effect-evaporator value, not adjusted for the actual steam pressure entered). Required Heat Transfer Area then divides that heat duty by the overall heat transfer coefficient and a simplified temperature-driving-force estimate -- the difference between an approximate steam temperature from pressure (a linear near-atmospheric approximation, not real steam-table data) and the feed's elevated boiling point. Steam Economy (kg of water evaporated per kg of steam consumed) sits at essentially 1.0 for a single effect, which is expected: this calculator does not model multiple-effect evaporation, where vapor from one effect reboils the next and steam economy climbs toward 2-5 kg/kg.
Inputs
Results
Evaporation Rate
4,000 kg/hr
Steam Required
4,000 kg/hr
How to Use This Calculator
- Enter the Feed Rate in kg/hr, the Feed Concentration, and the Product Concentration as mass fractions — these define the evaporation duty.
- Enter the Steam Pressure in kPa supplying the evaporator heating side.
- Enter the Boiling Point Elevation in °C due to dissolved solids — reduces the effective temperature driving force.
- Enter the Overall Heat Transfer Coefficient (U) in kW/(m²·°C) — typical range 1–5 kW/(m²·°C) for aqueous solutions.
- Read the Evaporation Rate and Steam Required in kg/hr to size utilities, and the Required Heat Transfer Area in m² for vessel specification.
- Check the Steam Economy (kg evaporated per kg steam) — values near 1.0 are typical for single-effect; multiple-effect designs achieve 2–5.
How the result changes with Feed Rate
| Feed Rate | Evaporation Rate | Steam Required |
|---|---|---|
| 2,500 | 2,000 kg/hr | 2,000 kg/hr |
| 3,750 | 3,000 kg/hr | 3,000 kg/hr |
| 7,500 | 6,000 kg/hr | 6,000 kg/hr |
| 12,500 | 10,000 kg/hr | 10,000 kg/hr |
What each input means
- Feed Rate
- Mass flow rate of the dilute feed solution.
- Feed Concentration
- Mass fraction of solute in the feed (e.g., 0.1 = 10% solids).
- Product Concentration
- Desired mass fraction of solute in the concentrated product.
- Steam Pressure
- Pressure of the heating steam supplied to the evaporator.
- Boiling Point Elevation
- Increase in boiling point due to dissolved solids compared to pure water.
- Overall Heat Transfer Coefficient
- Overall U-value for the evaporator. Typical range: 1-5 kW/(m²·°C).
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersFeed Rate = 5000, Feed Concentration = 0.1, Product Concentration = 0.5, Steam Pressure = 200 = 4 input(s) provided
- Calculate Evaporation RateEvaporation Rate4000 = 4000
- Calculate Steam RequiredSteam Required4000 = 4000
- Calculate Heat DutyHeat Duty9040000 = 9040000
- Calculate Required Heat Transfer AreaRequired Heat Transfer Area167028.5 = 167028.5
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why don't Steam Pressure or Overall Heat Transfer Coefficient change the Evaporation Rate?
Evaporation Rate comes entirely from the mass balance -- Feed Rate and the feed and product concentrations -- because that's what determines how much water physically has to leave to reach the target concentration, independent of how the heat is delivered. Steam Pressure, Boiling Point Elevation, and Overall Heat Transfer Coefficient only affect the second stage of the calculation: sizing the heat transfer equipment needed to actually deliver that fixed evaporation duty.
How is the required heat transfer area calculated?
Required Area equals Heat Duty divided by the product of the Overall Heat Transfer Coefficient (U) and the temperature driving force (steam temperature minus the feed's elevated boiling point) -- the standard Q = U x A x deltaT heat transfer equation solved for area. The steam temperature itself is estimated from steam pressure with a simplified linear approximation valid only near atmospheric pressure, not full steam-table data.
Why is Steam Economy close to 1.0, and how could it be improved?
A single-effect evaporator uses roughly 1 kg of steam to evaporate 1 kg of water, since the steam's latent heat is transferred once and then condensed away. Real industrial evaporators often use multiple effects in series, where the vapor produced by one effect is reused as the heating steam for the next effect at a lower pressure -- raising steam economy toward 2-5 kg evaporated per kg of fresh steam. This calculator only models a single effect, so it will not show that improvement.
What does Boiling Point Elevation account for, and why does it matter?
Dissolved solids raise a solution's boiling point above pure water's -- Boiling Point Elevation is that increase, in degrees, which reduces the effective temperature difference driving heat transfer (since the heating steam's temperature stays fixed by its pressure, but the solution now boils hotter). A higher Boiling Point Elevation shrinks that driving force, which this calculator reflects as a larger Required Heat Transfer Area for the same duty.
What happens if Steam Pressure is too low for the Boiling Point Elevation entered?
The temperature driving force (steam temperature minus the solution's elevated boiling point) is floored at 1°C rather than allowed to go to zero or negative -- a combination of low Steam Pressure and high Boiling Point Elevation can otherwise put the approximated steam temperature below the solution's own boiling point, which is physically inconsistent (the "heating" steam would be colder than what it needs to boil). When that floor kicks in, Required Heat Transfer Area is computed off that artificial 1°C value rather than a real driving force, so a results page showing a very large Required Area alongside a low Steam Pressure is a sign the input combination has hit this floor and should be revisited -- raise Steam Pressure or lower Boiling Point Elevation until the estimated steam temperature is comfortably above the solution's boiling point.
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