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Bowen's Ratio Formula

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Bowen’s Ratio is generally used to calculate heat lost (or gained) in a substance. Check FAQs

β = \frac{H a}{ρ water \cdot L \cdot E L}

β - Bowen’s Ratio?H_a - Sensible Heat Transfer from Water Body?ρ_water - Water Density?L - Latent Heat of Evaporation?E_L - Daily Lake Evaporation?

Bowen's Ratio Example

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Here is how the Bowen's Ratio equation looks like with Values.

Here is how the Bowen's Ratio equation looks like with Units.

Here is how the Bowen's Ratio equation looks like.

0.051 = \frac{20}{1000 \cdot 7 \cdot 56}

0.051 = \frac{20J}{1000kg/m³ \cdot 7J/kg \cdot 56mm}

0.051 = \frac{20}{1000 \cdot 7 \cdot 56}

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Bowen's Ratio Solution

Follow our step by step solution on how to calculate Bowen's Ratio?

FIRST Step Consider the formula

β = \frac{H a}{ρ water \cdot L \cdot E L}

Next Step Substitute values of Variables

∴

β = \frac{20J}{1000kg/m³ \cdot 7J/kg \cdot 56mm}

Next Step Convert Units

∴

β = \frac{20J}{1000kg/m³ \cdot 7J/kg \cdot 0.056m}

Next Step Prepare to Evaluate

∴

β = \frac{20}{1000 \cdot 7 \cdot 0.056}

Next Step Evaluate

∴

β = 0.0510204081632653

LAST Step Rounding Answer

∴

β = 0.051

Bowen's Ratio Formula Elements

Variables

Bowen’s Ratio

Bowen’s Ratio is generally used to calculate heat lost (or gained) in a substance.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Bowen’s Ratio

Sensible Heat Transfer from Water Body

Sensible Heat Transfer from Water Body moves heat from warmer to colder objects by conduction when they are in direct contact.

Symbol: H_a

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Sensible Heat Transfer from Water Body

Water Density

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).

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Latent Heat of Evaporation

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.

Symbol: L

Measurement: Latent HeatUnit: J/kg

Note: Value can be positive or negative.

Formulas to find Latent Heat of Evaporation

Daily Lake Evaporation

Daily Lake Evaporation is the process by which water changes from a liquid to a gas or vapor.

Symbol: E_L

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Daily Lake Evaporation

Other formulas in Budget Method category

Go Energy Balance to Evaporating Surface for Period of One Day

H n = H a + H e + H g + H s + H i

Go Heat Energy used up in Evaporation

H e = ρ water \cdot L \cdot E L

Go Evaporation from Energy Budget Method

E L = \frac{H n - H g - H s - H i}{ρ water \cdot L \cdot (1 + β)}

How to Evaluate Bowen's Ratio?

Bowen's Ratio evaluator uses Bowen’s Ratio = Sensible Heat Transfer from Water Body/(Water Density*Latent Heat of Evaporation*Daily Lake Evaporation) to evaluate 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 evaluate Bowen's Ratio using this online evaluator? To use this online evaluator for Bowen's Ratio, enter Sensible Heat Transfer from Water Body (H_a), Water Density (ρ_water), Latent Heat of Evaporation (L) & Daily Lake Evaporation (E_L) and hit the calculate button.

FAQs on Bowen's Ratio

What is the formula to find Bowen's Ratio?

The formula of Bowen's Ratio is expressed as Bowen’s Ratio = Sensible Heat Transfer from Water Body/(Water Density*Latent Heat of Evaporation*Daily Lake Evaporation). Here is an example- 0.05102 = 20/(1000*7*0.056).

How to calculate Bowen's Ratio?

With Sensible Heat Transfer from Water Body (H_a), Water Density (ρ_water), Latent Heat of Evaporation (L) & Daily Lake Evaporation (E_L) we can find Bowen's Ratio using the formula - Bowen’s Ratio = Sensible Heat Transfer from Water Body/(Water Density*Latent Heat of Evaporation*Daily Lake Evaporation).

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Bowen's Ratio Formula

Bowen's Ratio Example

Bowen's Ratio Solution

Bowen's Ratio Formula Elements

Other formulas in Budget Method category

How to Evaluate Bowen's Ratio?

FAQs on Bowen's Ratio

Variable Name