Penman's Equation Formula

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Daily Potential Evapotranspiration is the process by which water is transferred from the land to the atmosphere by evaporation from the soil and other surfaces and by transpiration from plants. Check FAQs
PET=AHn+EaγA+γ
PET - Daily Potential Evapotranspiration?A - Slope of Saturation Vapour Pressure?Hn - Net Radiation of Evaporable Water?Ea - Parameter of Wind Velocity and Saturation Deficit?γ - Psychrometric Constant?

Penman's Equation Example

With values
With units
Only example

Here is how the Penman's Equation equation looks like with Values.

Here is how the Penman's Equation equation looks like with Units.

Here is how the Penman's Equation equation looks like.

2.0594Edit=1.05Edit1.99Edit+2.208Edit0.49Edit1.05Edit+0.49Edit
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Penman's Equation Solution

Follow our step by step solution on how to calculate Penman's Equation?

FIRST Step Consider the formula
PET=AHn+EaγA+γ
Next Step Substitute values of Variables
PET=1.051.99+2.2080.491.05+0.49
Next Step Prepare to Evaluate
PET=1.051.99+2.2080.491.05+0.49
Next Step Evaluate
PET=2.05936363636364
LAST Step Rounding Answer
PET=2.0594

Penman's Equation Formula Elements

Variables
Daily Potential Evapotranspiration
Daily Potential Evapotranspiration is the process by which water is transferred from the land to the atmosphere by evaporation from the soil and other surfaces and by transpiration from plants.
Symbol: PET
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Slope of Saturation Vapour Pressure
Slope of Saturation Vapour Pressure vs temperature curve at the mean air temperature, in mm of mercury per °C.
Symbol: A
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Net Radiation of Evaporable Water
Net Radiation of Evaporable Water length per day influenced by the incoming solar radiation absorbed by the Earth's surface and the radiation reflected back.
Symbol: Hn
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Parameter of Wind Velocity and Saturation Deficit
Parameter of Wind Velocity and Saturation Deficit.
Symbol: Ea
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Psychrometric Constant
Psychrometric Constant relates the partial pressure of water in air to the air temperature.
Symbol: γ
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.

Other formulas in Evapotranspiration Equations category

​Go Equation for Blaney Criddle
ET=2.54KF
​Go Thornthwaite Formula
ET=1.6La(10TaIt)aTh
​Go Adjustment related to Latitude of Place given Potential Evapotranspiration
La=ET1.6(10TaIt)aTh
​Go Mean Monthly Air Temperature for Potential Evapotranspiration in Thornthwaite Equation
Ta=(ET1.6La)1aTh(It10)

How to Evaluate Penman's Equation?

Penman's Equation evaluator uses Daily Potential Evapotranspiration = (Slope of Saturation Vapour Pressure*Net Radiation of Evaporable Water+Parameter of Wind Velocity and Saturation Deficit*Psychrometric Constant)/(Slope of Saturation Vapour Pressure+Psychrometric Constant) to evaluate the Daily Potential Evapotranspiration, The Penman's Equation formula is defined as the evaporation (E) from an open water surface and was developed by Howard Penman in 1948. Daily Potential Evapotranspiration is denoted by PET symbol.

How to evaluate Penman's Equation using this online evaluator? To use this online evaluator for Penman's Equation, enter Slope of Saturation Vapour Pressure (A), Net Radiation of Evaporable Water (Hn), Parameter of Wind Velocity and Saturation Deficit (Ea) & Psychrometric Constant (γ) and hit the calculate button.

FAQs on Penman's Equation

What is the formula to find Penman's Equation?
The formula of Penman's Equation is expressed as Daily Potential Evapotranspiration = (Slope of Saturation Vapour Pressure*Net Radiation of Evaporable Water+Parameter of Wind Velocity and Saturation Deficit*Psychrometric Constant)/(Slope of Saturation Vapour Pressure+Psychrometric Constant). Here is an example- 2.059364 = (1.05*1.99+2.208*0.49)/(1.05+0.49).
How to calculate Penman's Equation?
With Slope of Saturation Vapour Pressure (A), Net Radiation of Evaporable Water (Hn), Parameter of Wind Velocity and Saturation Deficit (Ea) & Psychrometric Constant (γ) we can find Penman's Equation using the formula - Daily Potential Evapotranspiration = (Slope of Saturation Vapour Pressure*Net Radiation of Evaporable Water+Parameter of Wind Velocity and Saturation Deficit*Psychrometric Constant)/(Slope of Saturation Vapour Pressure+Psychrometric Constant).
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