Bowen's Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bowen’s Ratio = Sensible Heat Transfer from Water Body/(Water Density*Latent Heat of Evaporation*Daily Lake Evaporation)
β = Ha/(ρwater*L*EL)
This formula uses 5 Variables
Variables Used
Bowen’s Ratio - Bowen’s Ratio is generally used to calculate heat lost (or gained) in a substance.
Sensible Heat Transfer from Water Body - (Measured in Joule) - Sensible Heat Transfer from Water Body moves heat from warmer to colder objects by conduction when they are in direct contact.
Water Density - (Measured in Kilogram per Cubic Meter) - The Water Density refers to the measure of how much mass is contained in a given volume of water. It is typically expressed in kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³).
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.
Daily Lake Evaporation - (Measured in Meter) - Daily Lake Evaporation is the process by which water changes from a liquid to a gas or vapor.
STEP 1: Convert Input(s) to Base Unit
Sensible Heat Transfer from Water Body: 20 Joule --> 20 Joule 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
Daily Lake Evaporation: 56 Millimeter --> 0.056 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
β = Ha/(ρwater*L*EL) --> 20/(1000*7*0.056)
Evaluating ... ...
β = 0.0510204081632653
STEP 3: Convert Result to Output's Unit
0.0510204081632653 --> No Conversion Required
FINAL ANSWER
0.0510204081632653 0.05102 <-- Bowen’s Ratio
(Calculation completed in 00.004 seconds)

Credits

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

Evaporation from Energy Budget Method
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Heat Energy used up in Evaporation = Water Density*Latent Heat of Evaporation*Daily Lake Evaporation

Bowen's Ratio Formula

​LaTeX ​Go
Bowen’s Ratio = Sensible Heat Transfer from Water Body/(Water Density*Latent Heat of Evaporation*Daily Lake Evaporation)
β = Ha/(ρwater*L*EL)

What is Bowen's Formula?

The Bowen ratio is generally used to calculate heat lost (or gained) in a substance; it is the ratio of energy fluxes from one state to another by sensible heat and latent heating respectively.

How to Calculate Bowen's Ratio?

Bowen's Ratio calculator uses Bowen’s Ratio = Sensible Heat Transfer from Water Body/(Water Density*Latent Heat of Evaporation*Daily Lake Evaporation) to calculate the Bowen’s Ratio, The Bowen's Ratio formula is defined as the ratio of sensible to latent heat fluxes at the surface obtained based on thermodynamic considerations. Bowen’s Ratio is denoted by β symbol.

How to calculate Bowen's Ratio using this online calculator? To use this online calculator for Bowen's Ratio, enter Sensible Heat Transfer from Water Body (Ha), Water Density water), Latent Heat of Evaporation (L) & Daily Lake Evaporation (EL) and hit the calculate button. Here is how the Bowen's Ratio calculation can be explained with given input values -> 0.05102 = 20/(1000*7*0.056).

FAQ

What is Bowen's Ratio?
The Bowen's Ratio formula is defined as the ratio of sensible to latent heat fluxes at the surface obtained based on thermodynamic considerations and is represented as β = Ha/(ρwater*L*EL) or Bowen’s Ratio = Sensible Heat Transfer from Water Body/(Water Density*Latent Heat of Evaporation*Daily Lake Evaporation). Sensible Heat Transfer from Water Body moves heat from warmer to colder objects by conduction when they are in direct contact, The Water Density refers to the measure of how much mass is contained in a given volume of water. It is typically expressed in kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³), 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 & Daily Lake Evaporation is the process by which water changes from a liquid to a gas or vapor.
How to calculate Bowen's Ratio?
The Bowen's Ratio formula is defined as the ratio of sensible to latent heat fluxes at the surface obtained based on thermodynamic considerations is calculated using Bowen’s Ratio = Sensible Heat Transfer from Water Body/(Water Density*Latent Heat of Evaporation*Daily Lake Evaporation). To calculate Bowen's Ratio, you need Sensible Heat Transfer from Water Body (Ha), Water Density water), Latent Heat of Evaporation (L) & Daily Lake Evaporation (EL). With our tool, you need to enter the respective value for Sensible Heat Transfer from Water Body, Water Density, Latent Heat of Evaporation & Daily Lake Evaporation 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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