Evaporation Rate (Dalton) Calculator

Estimate evaporation fast from temperature, humidity, and wind. Set coefficients to match your site conditions. Export results as CSV or PDF for reports today.

Calculator Inputs

Used to compute es at the surface.
Used for air saturation vapour pressure.
Computes ea = RH · esat(Ta).
Affects the wind function f(u)=a+bu.
Set by calibration or literature for your site.
Controls sensitivity to wind speed.
If calibrated, output can represent real depth rates.
Used to estimate volume and mass loss.
Rate scaling assumes daily base internally.

Formula Used

Dalton-style evaporation models relate evaporation to the vapour pressure difference between the water surface and the overlying air. A common empirical form is:

E = K · ( a + b · u ) · ( esea )
E = evaporation rate, u = wind speed, es = saturation vapour pressure at water temperature, ea = actual vapour pressure of air. K, a, b are empirical coefficients.

This calculator computes vapour pressures in kPa using the Tetens relation and estimates ea from air temperature and relative humidity. Choose K, a, and b to match your calibration method. In many projects, K is fitted so E is in mm/day.

How to Use This Calculator

  1. Enter the water surface temperature and the air temperature in °C.
  2. Provide relative humidity to estimate air vapour pressure.
  3. Enter wind speed near 2 m height, if available.
  4. Set empirical coefficients a, b, and scaling K for your site.
  5. Add water surface area to compute volume and mass loss.
  6. Click Calculate to view results above the form.
  7. Use Download CSV or Download PDF for reports.

Example Data Table

Tw (°C) Ta (°C) RH (%) u (m/s) a b K Area (m²) Estimated E (mm/day)
25255021.000.001.0010 Depends on your chosen coefficients
30284031.000.101.0025 Higher deficit and wind usually increase E
20228011.000.051.005 High humidity reduces driving deficit

Notes for Advanced Use

Evaporation Rate (Dalton) Article

1) Why Dalton evaporation is widely used

Dalton-type models are popular because they connect evaporation to a measurable driving force: the moisture gradient between a water surface and the air. With basic weather inputs, teams can estimate loss from ponds, reservoirs, cooling basins, and tanks without complex instrumentation.

2) Vapour pressure deficit is the engine

The calculator computes saturation vapour pressure at the water temperature and estimates the air’s actual vapour pressure from air temperature and relative humidity. The difference (es − ea) in kPa is the deficit, and larger deficits generally mean stronger evaporation potential.

3) Wind sustains evaporation by mixing air

Wind removes humid boundary-layer air and replaces it with drier air, helping the deficit persist. Dalton formulations capture this with a wind function such as f(u)=a+bu, where u is wind speed. Sites with steady breezes often require a positive b to reflect higher transport.

4) Interpreting coefficients a, b, and K

The intercept a represents baseline exchange in near-calm conditions, while b controls how quickly evaporation responds to wind. The scaling factor K converts the deficit-and-wind product into a depth rate. Because coefficients depend on units, height, and exposure, calibrate them using local pan data or verified observations.

5) Typical ranges and data sources

Water temperature commonly spans about 5–35 °C outdoors, while relative humidity often varies from 20–90%. Wind speeds near 2 m height frequently fall between 0–8 m/s, with higher values in exposed terrain. Use nearby stations, onsite loggers, or handheld meters for consistent input sets.

6) From millimeters to operational losses

Depth loss becomes actionable when multiplied by surface area. This calculator converts rate into volume loss (liters) and mass loss (kilograms) assuming water density near 1000 kg/m³. For large basins, even a few mm/day can translate into thousands of liters per day.

7) Negative deficit and condensation conditions

If the deficit is negative, the air is effectively more humid than the surface condition supports. The model then indicates condensation potential rather than evaporation. This may occur at night, after rainfall, or when cool water is exposed to warm humid air.

8) Using results for planning and reporting

Evaporation estimates support water-balance studies, makeup-water planning, and short operational forecasts. Use CSV exports for spreadsheets and time-series tracking, and PDF exports for field documentation. For professional reports, record the coefficient set, measurement heights, and the period represented by each estimate. This improves traceability across teams greatly.

FAQs

1) What does the evaporation rate unit mean?

The rate is an equivalent water depth lost per chosen time basis. When K is calibrated, mm/day can be compared across days and sites. Multiply by area to convert into volume loss.

2) Which temperature should I prioritize for accuracy?

Water surface temperature drives saturation vapour pressure at the interface. If you can only measure one temperature precisely, measure water temperature well, then use reliable air temperature from a nearby station.

3) How do I pick values for a, b, and K?

Use local calibration if possible. Start with literature or project standards, then fit K (and optionally a, b) so modeled evaporation matches observed pan or flux measurements under similar conditions.

4) Why can the calculator show negative evaporation?

Negative values occur when the computed vapour pressure deficit is negative, meaning the air is effectively “wetter” than the surface condition. That indicates condensation potential rather than net evaporation.

5) Does wind height matter for wind speed input?

Yes. Wind speed varies with height above ground. If your wind data comes from a different height than your calibration, adjust coefficients accordingly or convert wind speed to a common reference height.

6) Is this suitable for saltwater or industrial fluids?

The vapour pressure relationship changes with salinity and fluid properties. For seawater or process fluids, coefficients may need correction. Use specialized correlations if accurate salinity or composition effects are required.

7) How can I use the exports in reporting?

CSV supports spreadsheets, dashboards, and time-series analysis. PDF provides a snapshot of inputs and outputs for field logs. Record coefficient choices and measurement sources to keep reports auditable.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.