THERMODYNAMICSThermodynamicsPhysics Calculator
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Evaporation Rate — Water Loss to Atmosphere

Evaporation transfers liquid water to vapor. The Penman equation combines energy balance and aerodynamic terms; Dalton's law relates evaporation to vapor pressure deficit. Rate depends on temperature, humidity, wind speed, and surface area.

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Penman equation combines energy and aerodynamic terms for accuracy Vapor pressure deficit (VPD) drives evaporation rate Wind increases evaporation by removing saturated air Pool evaporation typically 0.1–0.5 in. per day in summer

Key quantities
E = (25+19v)×A×(Xs-X)
Penman
Key relation
E = A×(Ps-Pa)×f(v)
Dalton's
Key relation
e_s = 611.2×exp(...)
Saturation
Key relation
Xs - X
VPD
Key relation

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Why: Evaporation affects pool maintenance, cooling tower efficiency, irrigation planning, and reservoir management. Higher temperature, lower humidity, and wind increase evaporation.

How: Enter surface area, air and water temperature, relative humidity, and wind speed. Choose Penman (most accurate), Dalton, or simplified method. Results include hourly, daily, weekly, and monthly evaporation.

Penman equation combines energy and aerodynamic terms for accuracyVapor pressure deficit (VPD) drives evaporation rate

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Solve the Evaporation EquationCalculate water loss from pools, lakes, and surfaces

🏊 Swimming Pool Evaporation

Typical residential swimming pool - 30ft × 15ft, summer conditions

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🏭 Industrial Cooling Tower

Large industrial cooling tower - high evaporation rate

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🌊 Lake Surface Evaporation

Large lake surface - natural water body evaporation

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💧 Wet Floor Drying

Wet floor surface - indoor drying scenario

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🌾 Agricultural Irrigation Loss

Irrigation canal - agricultural water loss

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🐟 Garden Pond Evaporation

Small garden pond - typical backyard scenario

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Enter Evaporation Parameters

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For educational and informational purposes only. Verify with a qualified professional.

🔬 Physics Facts

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Penman equation (1948) remains the standard for evaporation estimation.

— ASHRAE

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Evaporation doubles roughly every 10°C temperature increase.

— NOAA

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Wind removes saturated air, increasing evaporation rate.

— USGS

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Pool evaporation: typically 0.25–0.5 in. per day in hot, dry climates.

— EPA

📋 Key Takeaways

  • • Evaporation rate depends on temperature, humidity, wind speed, and surface area—higher temps and lower humidity increase evaporation
  • • The Penman equation is the most accurate method, combining energy balance and aerodynamic approaches
  • • Vapor pressure deficit (saturation minus actual vapor pressure) drives evaporation—larger deficit means faster evaporation
  • • Wind removes saturated air from surfaces, maintaining the vapor pressure gradient and sustaining evaporation
  • • Applications span pools, cooling towers, lakes, agriculture, and industrial drying—each with different rate considerations

What is Evaporation Rate?

Evaporation rate is the rate at which liquid water transforms into water vapor and escapes into the atmosphere. It is a critical parameter in water management, climate studies, industrial processes, and environmental engineering. Understanding evaporation rates helps predict water loss from pools, lakes, reservoirs, cooling towers, and other water bodies.

The evaporation rate depends on several environmental factors:

  • Surface Area: Larger surface areas result in higher total evaporation rates
  • Temperature: Higher temperatures increase molecular motion and evaporation rate
  • Humidity: Lower relative humidity creates a larger vapor pressure deficit, increasing evaporation
  • Wind Speed: Wind removes saturated air from the surface, maintaining evaporation
  • Atmospheric Pressure: Lower pressure can slightly increase evaporation rates

Evaporation Formulas Explained

Penman Equation

E = (25 + 19×v) × A × (Xs - X)

Where E is evaporation rate (kg/h), v is wind speed (m/s), A is surface area (m²), Xs is maximum humidity ratio, and X is current humidity ratio. This is the most accurate method for calculating evaporation rates.

Dalton's Law Approximation

E = A × (Ps - Pa) × f(v)

Where Ps is saturation vapor pressure, Pa is actual vapor pressure, and f(v) is a wind factor. This method relates evaporation directly to vapor pressure deficit and wind effects.

Simplified Formula

E = Base Rate × A × Temp Factor × Humidity Factor × Wind Factor

A simplified empirical formula useful for quick estimates. Less accurate than Penman or Dalton methods but provides reasonable approximations for typical conditions.

Applications of Evaporation Rate Calculations

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Swimming Pools

Calculate water loss from pools to determine refill requirements, estimate chemical usage, and plan maintenance schedules. Essential for pool operators and homeowners.

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Industrial Cooling Towers

Design and operate cooling towers efficiently. Calculate make-up water requirements, optimize cooling performance, and manage water consumption in industrial processes.

🌊

Lakes and Reservoirs

Estimate water loss from natural and artificial water bodies. Critical for water resource management, irrigation planning, and environmental impact assessments.

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Agriculture

Plan irrigation systems, estimate water requirements for crops, and manage water resources in agricultural operations. Essential for sustainable farming practices.

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Drying Processes

Calculate drying times for wet surfaces, floors, and materials. Useful for construction, cleaning operations, and industrial drying processes.

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Climate Studies

Understand water cycle dynamics, study regional climate patterns, and model hydrological processes. Important for meteorology and environmental science research.

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