Equation for Net Radiation of Evaporable Water Calculator

✖Incident Solar Radiation Outside the Atmosphere on a Horizontal Surface expressed in mm of Evaporable water per day.ⓘ Incident Solar Radiation Outside the Atmosphere [H_a]			+10% -10%
✖Reflection Coefficient is a parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium.ⓘ Reflection Coefficient [r]			+10% -10%
✖Constant depending on Latitude phi influencing the net radiation of evaporable water.ⓘ Constant depending on Latitude [a]			+10% -10%
✖A constant with an average value of 0.52.ⓘ A constant [b]			+10% -10%
✖Actual Duration of Bright Sunshine is a climatological indicator, measuring duration of sunshine in given period (usually, a day or a year) for a given location on Earth.ⓘ Actual Duration of Bright Sunshine [n]			+10% -10%
✖Maximum Possible Hours of Bright Sunshine is a climatological indicator, measuring the duration of sunshine in a given period.ⓘ Maximum Possible Hours of Bright Sunshine [N]			+10% -10%
✖Stefan-Boltzmann Constant is a physical constant involving black body radiation.ⓘ Stefan-Boltzmann constant [σ]			+10% -10%
✖Mean Air Temperature observed for incident solar radiation outside the atmosphere.ⓘ Mean Air Temperature [T_a]			+10% -10%
✖Actual Vapour Pressure is the air in mm of mercury is the vapour pressure exerted by the water in the air.ⓘ Actual Vapour Pressure [e_a]			+10% -10%

✖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.ⓘ Equation for Net Radiation of Evaporable Water [H_n]

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Formula

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Equation for Net Radiation of Evaporable Water

Formula

`"H"_{"n"} = "H"_{"a"}*(1-"r")*("a"+("b"*"n"/"N"))-"σ"*"T"_{"a"}^4*(0.56-0.092*sqrt("e"_{"a"}))*(0.1+(0.9*"n"/"N"))`

Example

`"6.976407"="13.43"*(1-"0.25")*("0.2559"+("0.52"*"9"/"10.716"))-"0.00000000201"*("20")^4*(0.56-0.092*sqrt("3mmHg"))*(0.1+(0.9*"9"/"10.716"))`

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Equation for Net Radiation of Evaporable Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Net Radiation of Evaporable Water = Incident Solar Radiation Outside the Atmosphere*(1-Reflection Coefficient)*(Constant depending on Latitude+(A constant*Actual Duration of Bright Sunshine/Maximum Possible Hours of Bright Sunshine))-Stefan-Boltzmann constant*Mean Air Temperature^4*(0.56-0.092*sqrt(Actual Vapour Pressure))*(0.1+(0.9*Actual Duration of Bright Sunshine/Maximum Possible Hours of Bright Sunshine))
H_n = H_a*(1-r)*(a+(b*n/N))-σ*T_a^4*(0.56-0.092*sqrt(e_a))*(0.1+(0.9*n/N))
This formula uses 1 Functions, 10 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Incident Solar Radiation Outside the Atmosphere - Incident Solar Radiation Outside the Atmosphere on a Horizontal Surface expressed in mm of Evaporable water per day.
Reflection Coefficient - Reflection Coefficient is a parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium.
Constant depending on Latitude - Constant depending on Latitude phi influencing the net radiation of evaporable water.
A constant - A constant with an average value of 0.52.
Actual Duration of Bright Sunshine - Actual Duration of Bright Sunshine is a climatological indicator, measuring duration of sunshine in given period (usually, a day or a year) for a given location on Earth.
Maximum Possible Hours of Bright Sunshine - Maximum Possible Hours of Bright Sunshine is a climatological indicator, measuring the duration of sunshine in a given period.
Stefan-Boltzmann constant - Stefan-Boltzmann Constant is a physical constant involving black body radiation.
Mean Air Temperature - Mean Air Temperature observed for incident solar radiation outside the atmosphere.
Actual Vapour Pressure - (Measured in Millimeter Mercury (0 °C)) - Actual Vapour Pressure is the air in mm of mercury is the vapour pressure exerted by the water in the air.

STEP 1: Convert Input(s) to Base Unit

Incident Solar Radiation Outside the Atmosphere: 13.43 --> No Conversion Required
Reflection Coefficient: 0.25 --> No Conversion Required
Constant depending on Latitude: 0.2559 --> No Conversion Required
A constant: 0.52 --> No Conversion Required
Actual Duration of Bright Sunshine: 9 --> No Conversion Required
Maximum Possible Hours of Bright Sunshine: 10.716 --> No Conversion Required
Stefan-Boltzmann constant: 2.01E-09 --> No Conversion Required
Mean Air Temperature: 20 --> No Conversion Required
Actual Vapour Pressure: 3 Millimeter Mercury (0 °C) --> 3 Millimeter Mercury (0 °C) No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_n = H_a*(1-r)*(a+(b*n/N))-σ*T_a^4*(0.56-0.092*sqrt(e_a))*(0.1+(0.9*n/N)) --> 13.43*(1-0.25)*(0.2559+(0.52*9/10.716))-2.01E-09*20^4*(0.56-0.092*sqrt(3))*(0.1+(0.9*9/10.716))

Evaluating ... ...

H_n = 6.97640663617343

STEP 3: Convert Result to Output's Unit

6.97640663617343 --> No Conversion Required

FINAL ANSWER

6.97640663617343 ≈ 6.976407 <-- Net Radiation of Evaporable Water

(Calculation completed in 00.004 seconds)

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< 8 Evapotranspiration Equations Calculators

Equation for Net Radiation of Evaporable Water

Go Net Radiation of Evaporable Water = Incident Solar Radiation Outside the Atmosphere*(1-Reflection Coefficient)*(Constant depending on Latitude+(A constant*Actual Duration of Bright Sunshine/Maximum Possible Hours of Bright Sunshine))-Stefan-Boltzmann constant*Mean Air Temperature^4*(0.56-0.092*sqrt(Actual Vapour Pressure))*(0.1+(0.9*Actual Duration of Bright Sunshine/Maximum Possible Hours of Bright Sunshine))

Net Radiation of Evaporable water given Daily Potential Evapotranspiration

Go Net Radiation of Evaporable Water = (Daily Potential Evapotranspiration*(Slope of Saturation Vapour Pressure+Psychrometric Constant)-(Parameter of Wind Velocity and Saturation Deficit*Psychrometric Constant))/Slope of Saturation Vapour Pressure

Parameter Including Wind Velocity and Saturation Deficit

Go Parameter of Wind Velocity and Saturation Deficit = (Daily Potential Evapotranspiration*(Slope of Saturation Vapour Pressure+Psychrometric Constant)-(Slope of Saturation Vapour Pressure*Net Radiation of Evaporable Water))/Psychrometric Constant

Penman's Equation

Go 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)

Mean Monthly Air Temperature for Potential Evapotranspiration in Thornthwaite Equation

Go Mean Air Temperature = (Potential Evapotranspiration in Crop Season/(1.6*Adjustment Factor))^(1/An Empirical Constant)*(Total Heat Index/10)

Adjustment related to Latitude of Place given Potential Evapotranspiration

Go Adjustment Factor = Potential Evapotranspiration in Crop Season/(1.6*((10*Mean Air Temperature)/Total Heat Index)^An Empirical Constant)

Thornthwaite Formula

Go Potential Evapotranspiration in Crop Season = 1.6*Adjustment Factor*((10*Mean Air Temperature)/Total Heat Index)^An Empirical Constant

Equation for Blaney Criddle

Go Potential Evapotranspiration in Crop Season = 2.54*An Empirical Coefficient*Sum of Monthly Consumptive Use factors

Equation for Net Radiation of Evaporable Water Formula

What is Net Radiation?

Earth's net radiation, sometimes called net flux, is the balance between incoming and outgoing energy at the top of the atmosphere. It is the total energy that is available to influence the climate. Energy comes in to the system when sunlight penetrates the top of the atmosphere

How to Calculate Equation for Net Radiation of Evaporable Water?

Equation for Net Radiation of Evaporable Water calculator uses Net Radiation of Evaporable Water = Incident Solar Radiation Outside the Atmosphere*(1-Reflection Coefficient)*(Constant depending on Latitude+(A constant*Actual Duration of Bright Sunshine/Maximum Possible Hours of Bright Sunshine))-Stefan-Boltzmann constant*Mean Air Temperature^4*(0.56-0.092*sqrt(Actual Vapour Pressure))*(0.1+(0.9*Actual Duration of Bright Sunshine/Maximum Possible Hours of Bright Sunshine)) to calculate the Net Radiation of Evaporable Water, The Equation for Net Radiation of Evaporable Water formula is defined as the balance between incoming and outgoing energy at the top of the atmosphere. Net Radiation of Evaporable Water is denoted by H_n symbol.

How to calculate Equation for Net Radiation of Evaporable Water using this online calculator? To use this online calculator for Equation for Net Radiation of Evaporable Water, enter Incident Solar Radiation Outside the Atmosphere (H_a), Reflection Coefficient (r), Constant depending on Latitude (a), A constant (b), Actual Duration of Bright Sunshine (n), Maximum Possible Hours of Bright Sunshine (N), Stefan-Boltzmann constant (σ), Mean Air Temperature (T_a) & Actual Vapour Pressure (e_a) and hit the calculate button. Here is how the Equation for Net Radiation of Evaporable Water calculation can be explained with given input values -> 6.976407 = 13.43*(1-0.25)*(0.2559+(0.52*9/10.716))-2.01E-09*20^4*(0.56-0.092*sqrt(399.966))*(0.1+(0.9*9/10.716)).

FAQ

What is Equation for Net Radiation of Evaporable Water?

The Equation for Net Radiation of Evaporable Water formula is defined as the balance between incoming and outgoing energy at the top of the atmosphere and is represented as H_n = H_a*(1-r)*(a+(b*n/N))-σ*T_a^4*(0.56-0.092*sqrt(e_a))*(0.1+(0.9*n/N)) or Net Radiation of Evaporable Water = Incident Solar Radiation Outside the Atmosphere*(1-Reflection Coefficient)*(Constant depending on Latitude+(A constant*Actual Duration of Bright Sunshine/Maximum Possible Hours of Bright Sunshine))-Stefan-Boltzmann constant*Mean Air Temperature^4*(0.56-0.092*sqrt(Actual Vapour Pressure))*(0.1+(0.9*Actual Duration of Bright Sunshine/Maximum Possible Hours of Bright Sunshine)). Incident Solar Radiation Outside the Atmosphere on a Horizontal Surface expressed in mm of Evaporable water per day, Reflection Coefficient is a parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium, Constant depending on Latitude phi influencing the net radiation of evaporable water, A constant with an average value of 0.52, Actual Duration of Bright Sunshine is a climatological indicator, measuring duration of sunshine in given period (usually, a day or a year) for a given location on Earth, Maximum Possible Hours of Bright Sunshine is a climatological indicator, measuring the duration of sunshine in a given period, Stefan-Boltzmann Constant is a physical constant involving black body radiation, Mean Air Temperature observed for incident solar radiation outside the atmosphere & Actual Vapour Pressure is the air in mm of mercury is the vapour pressure exerted by the water in the air.

How to calculate Equation for Net Radiation of Evaporable Water?

The Equation for Net Radiation of Evaporable Water formula is defined as the balance between incoming and outgoing energy at the top of the atmosphere is calculated using Net Radiation of Evaporable Water = Incident Solar Radiation Outside the Atmosphere*(1-Reflection Coefficient)*(Constant depending on Latitude+(A constant*Actual Duration of Bright Sunshine/Maximum Possible Hours of Bright Sunshine))-Stefan-Boltzmann constant*Mean Air Temperature^4*(0.56-0.092*sqrt(Actual Vapour Pressure))*(0.1+(0.9*Actual Duration of Bright Sunshine/Maximum Possible Hours of Bright Sunshine)). To calculate Equation for Net Radiation of Evaporable Water, you need Incident Solar Radiation Outside the Atmosphere (H_a), Reflection Coefficient (r), Constant depending on Latitude (a), A constant (b), Actual Duration of Bright Sunshine (n), Maximum Possible Hours of Bright Sunshine (N), Stefan-Boltzmann constant (σ), Mean Air Temperature (T_a) & Actual Vapour Pressure (e_a). With our tool, you need to enter the respective value for Incident Solar Radiation Outside the Atmosphere, Reflection Coefficient, Constant depending on Latitude, A constant, Actual Duration of Bright Sunshine, Maximum Possible Hours of Bright Sunshine, Stefan-Boltzmann constant, Mean Air Temperature & Actual Vapour Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Net Radiation of Evaporable Water?

In this formula, Net Radiation of Evaporable Water uses Incident Solar Radiation Outside the Atmosphere, Reflection Coefficient, Constant depending on Latitude, A constant, Actual Duration of Bright Sunshine, Maximum Possible Hours of Bright Sunshine, Stefan-Boltzmann constant, Mean Air Temperature & Actual Vapour Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -

Net Radiation of Evaporable Water = (Daily Potential Evapotranspiration*(Slope of Saturation Vapour Pressure+Psychrometric Constant)-(Parameter of Wind Velocity and Saturation Deficit*Psychrometric Constant))/Slope of Saturation Vapour Pressure

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