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Physics

Evaporation Rate Calculator

Enter the water surface area, wind speed, air temperature, relative humidity, and water surface temperature to find how fast water evaporates. Results update instantly in kilograms, litres, or gallons per hour or per day. The step-by-step panel shows every part of the ASHRAE humidity-ratio formula, and the ACI concrete risk flag tells concrete crews whether evaporation is high enough to trigger plastic-shrinkage cracking.

Your details

Switch all length, speed, and temperature inputs between metric and imperial.
The open water surface exposed to air (pool, pond, tank, slab, etc.).
Measured at about 1 m (3 ft) above the water surface.
m/s
Dry-bulb air temperature measured in the shade near the surface.
°C
Ambient relative humidity of the air above the water.
%
Temperature at the water surface. Usually warmer than the air in summer and cooler in winter.
°C
Choose the unit for the evaporation rate output.
Evaporation rateHigh evaporation
11.395

Mass of water evaporated per unit time from the surface

Rate unitkg/h
Rate (kg/h)11.3954kg/h
Rate (L/day)273.49L/day
Xs (water surface)0.02383kg/kg
X (ambient air)0.00993kg/kg
Xs - X0.0139kg/kg
ACI concrete riskHIGH - precautions required (>= 1.0 kg/m²/h)
Rate per m²1.1395kg/m²/h
1.1395 kg/m²/h
Low<0.5Moderate0.5-1High1+
014.9429.880510
Wind speed (m/s)

Evaporation rate: 11.395 kg/h from this surface.

  • Your surface loses about 11.395 kg/h (273.5 litres per day) to evaporation.
  • The humidity ratio difference (Xs - X) driving evaporation is 0.01390 kg/kg. Raising wind speed or lowering humidity increases this driving force.
  • The area-normalised rate exceeds 1.0 kg/m²/h, the ACI 305 threshold above which fresh concrete slabs are at high risk of plastic-shrinkage cracking. Erect windbreaks, apply evaporation retarder, or begin curing immediately.

Next stepTo reduce evaporation, lower wind exposure (windbreaks or covers), increase relative humidity (fogging), or shade the surface to reduce water temperature.

Formula

gh=(25+19v)A(XsX)Xs=3.733×103+3.2×104T+3×106T2+4×107T3g_h = (25 + 19v) \cdot A \cdot (X_s - X) \quad X_s = 3.733\times10^{-3} + 3.2\times10^{-4}T + 3\times10^{-6}T^2 + 4\times10^{-7}T^3

Worked example

A 10 m² pool with 3 m/s wind, water at 28 °C, air at 25 °C, and 50% RH: Xs(28) = 0.02399 kg/kg, Xs_air(25) = 0.02024, X = 0.5 × 0.02024 = 0.01012, dX = 0.01387. Coefficient = 25 + 19×3 = 82. Rate = 82 × 10 × 0.01387 = 11.37 kg/h (273 L/day).

How the evaporation rate formula works

The evaporation rate from an open water surface is governed by the humidity ratio difference between the saturated air right at the surface and the ambient air above it. The formula used here is derived from ASHRAE heat and mass transfer principles and is widely applied in pool engineering and concrete practice: gh (kg/h) = (25 + 19 × v) × A × (Xs - X). The coefficient (25 + 19v) accounts for both natural and forced convection, where v is wind speed in m/s and 25 represents the quiescent (still-air) base. A is the exposed water surface area in m². Xs is the saturation humidity ratio of air at the water surface temperature, and X is the actual humidity ratio of the ambient air calculated from relative humidity. A higher wind speed, larger surface, hotter water, and drier air all increase the rate. If the air is fully saturated at the water temperature, the driving force Xs - X falls to zero and evaporation essentially stops.

Saturation humidity ratio and how it is calculated

The saturation humidity ratio Xs (kg of water vapour per kg of dry air) grows steeply with temperature. At 10 °C it is about 0.0077 kg/kg; at 20 °C it is about 0.0147 kg/kg; at 30 °C it is about 0.0273 kg/kg; at 40 °C it is about 0.0492 kg/kg. This is why hot water evaporates so much faster than cool water. The calculator uses a cubic polynomial fitted to psychrometric data valid over 0-40 °C: Xs = 3.733e-3 + 3.2e-4 × T + 3e-6 × T² + 4e-7 × T³. The ambient actual humidity ratio X is found by multiplying the saturation ratio at air temperature by the relative humidity fraction.

Pool evaporation: how much water you lose per day

A residential pool of 50 m² (about 540 ft²) at 28 °C water temperature, 25 °C air, 50% relative humidity, and a 2 m/s breeze loses roughly 28-35 litres per hour, or around 650-840 litres per day, if uncovered. That equals about 0.7-0.9 cm of depth per day. Adding a pool cover reduces evaporation by 90-95% because it eliminates the wind-driven driving force and keeps the air layer above the water saturated. The calculator lets you compare conditions by adjusting temperature, wind, and humidity to see how much a cover or windbreak saves.

ACI concrete evaporation risk

The American Concrete Institute (ACI 305R) recommends evaluating evaporation risk before placing concrete in hot, dry, or windy conditions. When the evaporation rate from the slab surface exceeds about 1.0 kg/m²/h (0.20 lb/ft²/h), there is a high risk of plastic-shrinkage cracking because water evaporates faster than bleed water can rise to replace it. Precautions include erecting windbreaks, applying evaporation retarder, pre-moistening the subgrade, shading the pour, or scheduling work for cooler, more humid periods. This calculator uses the same formula recommended in ACI 305R and flags the risk level automatically. The inputs needed are concrete (water) surface temperature, air temperature, relative humidity, and wind speed.

Typical evaporation rates by surface condition

Surface / conditionTypical ratePrimary driver
Still indoor water (no wind)0.01-0.05 kg/m²/hVapor pressure gradient
Outdoor pool, calm day0.05-0.20 kg/m²/hWind + temperature
Outdoor pool, breezy (5 m/s)0.20-0.60 kg/m²/hWind speed
Fresh concrete, hot dry windy0.5-1.5 kg/m²/hACI 305 cracking risk
Open pond, summer afternoon0.1-0.5 kg/m²/hSolar gain + humidity
Wet soil surface0.01-0.10 kg/m²/hSoil saturation level
Cooling tower, industrial1.0-5.0 kg/m²/hForced air + heat load

Order-of-magnitude reference values. Actual rates depend on area, wind, temperature, and humidity.

Frequently asked questions

What is the evaporation rate formula used here?

The calculator uses the ASHRAE/Hatch formula: gh = (25 + 19 × v) × A × (Xs - X), where gh is the evaporation rate in kg/h, v is wind speed in m/s, A is surface area in m², Xs is the saturation humidity ratio at the water surface temperature, and X is the actual humidity ratio of the ambient air. The humidity ratios are calculated from a polynomial fitted to psychrometric data.

Why does wind speed have such a large effect on evaporation?

Wind continuously replaces the humid air just above the water surface with drier ambient air, keeping the humidity ratio difference (Xs - X) large and the driving force strong. Without wind, the air layer directly above the water quickly becomes nearly saturated and evaporation slows to a trickle. The coefficient 25 + 19v grows linearly with wind speed, so going from calm (0 m/s) to a light breeze (3 m/s) more than triples the rate.

How do I calculate pool evaporation per day?

Enter your pool surface area, the typical wind speed, average air and water temperatures, and average relative humidity, then choose "litres per day" as the output unit. The calculator multiplies the hourly rate by 24 to give a daily total. For a more accurate annual estimate, run the calculation for each season with representative averages.

What does the ACI concrete risk flag mean?

ACI 305R (Guide to Hot Weather Concreting) identifies an evaporation rate of 1.0 kg/m²/h (0.20 lb/ft²/h) as the threshold above which fresh concrete is at high risk of plastic-shrinkage cracking. At rates above this level, the surface loses water faster than rising bleed water can replace it, leaving the surface in tension as it tries to shrink. The calculator automatically flags the risk as low, moderate, or high based on the area-normalised rate.

Is evaporation rate the same as evapotranspiration?

No. Evaporation refers to the direct conversion of liquid water to vapour from a free water surface. Evapotranspiration (ET) includes both evaporation from soil and transpiration from plants, so it accounts for root uptake and leaf stomata. Agricultural and hydrology models use ET (often via the Penman-Monteith or Hargreaves methods), while this calculator focuses on free-surface evaporation relevant to pools, ponds, tanks, and concrete.

Does salinity or water chemistry affect the evaporation rate?

Yes, slightly. Salt water has a lower vapour pressure than fresh water by an amount proportional to salt concentration. For typical seawater (about 3.5% salinity), this reduces the saturation humidity ratio Xs by roughly 2%, and for a typical residential saltwater pool (0.3-0.5% salt) the effect is less than 0.5%. For most practical purposes this is negligible and the fresh-water formula applies.

Sources

Written by Dr. Tomás Okafor, PhD Physicist · Lagos, Nigeria

Physicist specializing in classical mechanics, bringing 17 years of research and applied dynamics expertise to every calculator he reviews.

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