Evaporation from Energy Budget Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Daily Lake Evaporation = (Net Heat Received by Water Surface-Heat Flux into the Ground-Head Stored in Water Body-Net Heat Conducted out system by Water Flow)/(Water Density*Latent Heat of Evaporation*(1+Bowen’s Ratio))
EL = (Hn-Hg-Hs-Hi)/(ρwater*L*(1+β))
This formula uses 8 Variables
Variables Used
Daily Lake Evaporation - (Measured in Meter) - Daily Lake Evaporation is the process by which water changes from a liquid to a gas or vapor.
Net Heat Received by Water Surface - (Measured in Watt per Square Meter) - Net Heat Received by Water Surface of the reflection coefficient.
Heat Flux into the Ground - (Measured in Watt per Square Meter) - Heat Flux into the Ground is convective heat transfer coefficient between the ground surface and the environment.
Head Stored in Water Body - (Measured in Watt per Square Meter) - Head Stored in Water Body under Consideration. Heat Energy used up in Evaporation is something that evaporates takes in heat and when it condenses it cools down by giving out heat into atmosphere.
Net Heat Conducted out system by Water Flow - (Measured in Watt per Square Meter) - Net Heat Conducted out system by Water Flow (advected energy). Advection is the transport of energy (say heat) by movement of bulk fluid.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.
Latent Heat of Evaporation - (Measured in Joule per Kilogram) - Latent Heat of Evaporation is the heat released or absorbed when matter disintegrates, phase changes from liquid to gas or changing stage from fluid to gas stage at a consistent temperature.
Bowen’s Ratio - Bowen’s Ratio is generally used to calculate heat lost (or gained) in a substance.
STEP 1: Convert Input(s) to Base Unit
Net Heat Received by Water Surface: 388 Watt per Square Meter --> 388 Watt per Square Meter No Conversion Required
Heat Flux into the Ground: 0.21 Watt per Square Meter --> 0.21 Watt per Square Meter No Conversion Required
Head Stored in Water Body: 22 Watt per Square Meter --> 22 Watt per Square Meter No Conversion Required
Net Heat Conducted out system by Water Flow: 10 Watt per Square Meter --> 10 Watt per Square Meter No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Latent Heat of Evaporation: 7 Joule per Kilogram --> 7 Joule per Kilogram No Conversion Required
Bowen’s Ratio: 0.053 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
EL = (Hn-Hg-Hs-Hi)/(ρwater*L*(1+β)) --> (388-0.21-22-10)/(1000*7*(1+0.053))
Evaluating ... ...
EL = 0.0482688916022249
STEP 3: Convert Result to Output's Unit
0.0482688916022249 Meter -->48.2688916022249 Millimeter (Check conversion here)
FINAL ANSWER
48.2688916022249 48.26889 Millimeter <-- Daily Lake Evaporation
(Calculation completed in 00.020 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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4 Budget Method Calculators

Evaporation from Energy Budget Method
Go Daily Lake Evaporation = (Net Heat Received by Water Surface-Heat Flux into the Ground-Head Stored in Water Body-Net Heat Conducted out system by Water Flow)/(Water Density*Latent Heat of Evaporation*(1+Bowen’s Ratio))
Energy Balance to Evaporating Surface for Period of One Day
Go Net Heat Received by Water Surface = Sensible Heat Transfer from Water Body+Heat Energy used up in Evaporation+Heat Flux into the Ground+Head Stored in Water Body+Net Heat Conducted out system by Water Flow
Bowen's Ratio
Go Bowen’s Ratio = Sensible Heat Transfer from Water Body/(Water Density*Latent Heat of Evaporation*Daily Lake Evaporation)
Heat Energy used up in Evaporation
Go Heat Energy used up in Evaporation = Water Density*Latent Heat of Evaporation*Daily Lake Evaporation

Evaporation from Energy Budget Method Formula

Daily Lake Evaporation = (Net Heat Received by Water Surface-Heat Flux into the Ground-Head Stored in Water Body-Net Heat Conducted out system by Water Flow)/(Water Density*Latent Heat of Evaporation*(1+Bowen’s Ratio))
EL = (Hn-Hg-Hs-Hi)/(ρwater*L*(1+β))

What is Energy Budget Method?

The energy budget method is an application of the law of conservation of energy. The energy available for evaporation is determined by considering the incoming energy, outgoing energy and energy stored in the water body over a known time interval.

What is Evaporation?

Evaporation is a type of vaporization that occurs on the surface of a liquid as it changes into the gas phase. The surrounding gas must not be saturated with the evaporating substance. When the molecules of the liquid collide, they transfer energy to each other based on how they collide with each other.

How to Calculate Evaporation from Energy Budget Method?

Evaporation from Energy Budget Method calculator uses Daily Lake Evaporation = (Net Heat Received by Water Surface-Heat Flux into the Ground-Head Stored in Water Body-Net Heat Conducted out system by Water Flow)/(Water Density*Latent Heat of Evaporation*(1+Bowen’s Ratio)) to calculate the Daily Lake Evaporation, The Evaporation from Energy Budget Method formula is defined as the theory energy advected to and from the lake by precipitation, surface water, and ground water was found to affect evaporation rates. Daily Lake Evaporation is denoted by EL symbol.

How to calculate Evaporation from Energy Budget Method using this online calculator? To use this online calculator for Evaporation from Energy Budget Method, enter Net Heat Received by Water Surface (Hn), Heat Flux into the Ground (Hg), Head Stored in Water Body (Hs), Net Heat Conducted out system by Water Flow (Hi), Water Density water), Latent Heat of Evaporation (L) & Bowen’s Ratio (β) and hit the calculate button. Here is how the Evaporation from Energy Budget Method calculation can be explained with given input values -> 48268.89 = (388-0.21-22-10)/(1000*7*(1+0.053)).

FAQ

What is Evaporation from Energy Budget Method?
The Evaporation from Energy Budget Method formula is defined as the theory energy advected to and from the lake by precipitation, surface water, and ground water was found to affect evaporation rates and is represented as EL = (Hn-Hg-Hs-Hi)/(ρwater*L*(1+β)) or Daily Lake Evaporation = (Net Heat Received by Water Surface-Heat Flux into the Ground-Head Stored in Water Body-Net Heat Conducted out system by Water Flow)/(Water Density*Latent Heat of Evaporation*(1+Bowen’s Ratio)). Net Heat Received by Water Surface of the reflection coefficient, Heat Flux into the Ground is convective heat transfer coefficient between the ground surface and the environment, Head Stored in Water Body under Consideration. Heat Energy used up in Evaporation is something that evaporates takes in heat and when it condenses it cools down by giving out heat into atmosphere, Net Heat Conducted out system by Water Flow (advected energy). Advection is the transport of energy (say heat) by movement of bulk fluid, Water Density is mass per unit of water, Latent Heat of Evaporation is the heat released or absorbed when matter disintegrates, phase changes from liquid to gas or changing stage from fluid to gas stage at a consistent temperature & Bowen’s Ratio is generally used to calculate heat lost (or gained) in a substance.
How to calculate Evaporation from Energy Budget Method?
The Evaporation from Energy Budget Method formula is defined as the theory energy advected to and from the lake by precipitation, surface water, and ground water was found to affect evaporation rates is calculated using Daily Lake Evaporation = (Net Heat Received by Water Surface-Heat Flux into the Ground-Head Stored in Water Body-Net Heat Conducted out system by Water Flow)/(Water Density*Latent Heat of Evaporation*(1+Bowen’s Ratio)). To calculate Evaporation from Energy Budget Method, you need Net Heat Received by Water Surface (Hn), Heat Flux into the Ground (Hg), Head Stored in Water Body (Hs), Net Heat Conducted out system by Water Flow (Hi), Water Density water), Latent Heat of Evaporation (L) & Bowen’s Ratio (β). With our tool, you need to enter the respective value for Net Heat Received by Water Surface, Heat Flux into the Ground, Head Stored in Water Body, Net Heat Conducted out system by Water Flow, Water Density, Latent Heat of Evaporation & Bowen’s Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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