How to Calculate Water Evaporation Rate

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Water Evaporation Rate Calculator

Estimate the volume of water lost due to evaporation from open surfaces like pools, ponds, or tanks.

Evaporation Rate: 0 Liters per hour
Daily Water Loss: 0 Liters per day
Vertical Depth Loss: 0 mm per day

How to Calculate the Water Evaporation Rate

The rate of evaporation from a water surface is influenced by a complex interaction between the water temperature, the surrounding air temperature, humidity levels, and air movement (wind speed). To calculate this accurately, we use an empirical formula derived from the Penman equation.

The Evaporation Formula

The calculator uses the mass transfer method to determine the evaporation rate (E):

E = (0.0175 + 0.022v) × (Pw – Pa)

  • E: Evaporation rate in kg/(m²·h). Since 1kg of water is approximately 1 Liter, this gives us Liters per square meter per hour.
  • v: Wind speed in meters per second (m/s) above the water surface.
  • Pw: Saturation vapor pressure at the water temperature (expressed in hPa).
  • Pa: Actual vapor pressure of the air (expressed in hPa), calculated using the air temperature and relative humidity.

Key Factors Affecting Evaporation

  • Temperature: Warmer water molecules have higher kinetic energy, making it easier for them to escape the surface as vapor.
  • Humidity: High humidity means the air is already saturated with moisture, significantly slowing down the evaporation process.
  • Wind Speed: Wind removes the saturated "boundary layer" of air immediately above the water surface, replacing it with drier air and accelerating evaporation.
  • Surface Area: A larger surface area provides more space for molecules to escape, increasing the total volume of water lost.

Example Calculation

Suppose you have a swimming pool with a surface area of 32m²:

  • Water Temp: 24°C
  • Air Temp: 28°C
  • Humidity: 45%
  • Wind Speed: 1.5 m/s

At 24°C, the saturation vapor pressure (Pw) is approx 29.8 hPa. At 28°C and 45% humidity, the air vapor pressure (Pa) is approx 17.0 hPa. Using the formula, the evaporation loss would be roughly 0.65 Liters per square meter per hour, totaling about 20.8 Liters per hour for the whole pool.

Practical Tips to Reduce Water Loss

If you find your evaporation rate is high, consider using a pool cover or solar blanket. This creates a physical barrier that prevents vapor from escaping and blocks the wind, reducing water loss by up to 90%. Additionally, planting windbreaks like hedges or fences around your water feature can lower the wind speed across the surface.

function calculateEvaporation() { // Get Input Values var Tw = parseFloat(document.getElementById("waterTemp").value); var Ta = parseFloat(document.getElementById("airTemp").value); var rh = parseFloat(document.getElementById("humidity").value); var v = parseFloat(document.getElementById("windSpeed").value); var area = parseFloat(document.getElementById("surfaceArea").value); // Validate Inputs if (isNaN(Tw) || isNaN(Ta) || isNaN(rh) || isNaN(v) || isNaN(area)) { alert("Please enter valid numeric values for all fields."); return; } // Function to calculate Saturation Vapor Pressure in hPa (Magnus formula) function getSatVP(temp) { return 6.112 * Math.exp((17.67 * temp) / (temp + 243.5)); } // Calculate Vapor Pressures var Pw = getSatVP(Tw); // Saturation vapor pressure at water surface var Psat_air = getSatVP(Ta); // Saturation vapor pressure of air var Pa = Psat_air * (rh / 100); // Actual vapor pressure of air // If Pa > Pw, evaporation is negligible (condensation might occur) var diff = Pw – Pa; if (diff < 0) diff = 0; // Formula: E (kg/m2/h) = (0.0175 + 0.022 * v) * (Pw – Pa) // This is a standard empirical version where pressures are in hPa // 1 hPa = 100 Pa. To adapt the constant for hPa: // Result in kg/m2/h (which is Liters/m2/h) var ratePerMeterHour = (0.0175 + 0.022 * v) * diff; // Total Volume Calculations var totalLitersPerHour = ratePerMeterHour * area; var totalLitersPerDay = totalLitersPerHour * 24; // Vertical Depth Loss: (Liters/m2) is equivalent to mm depth // 1 Liter = 0.001 m3. 0.001 m3 / 1 m2 = 0.001 m = 1 mm. var mmPerDay = ratePerMeterHour * 24; // Display Results document.getElementById("ratePerHour").innerHTML = totalLitersPerHour.toFixed(2); document.getElementById("ratePerDay").innerHTML = totalLitersPerDay.toFixed(2); document.getElementById("depthLoss").innerHTML = mmPerDay.toFixed(2); document.getElementById("evap-result-area").style.display = "block"; }

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