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Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates Formula

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Air humidity at Wet Bulb Temperature refers to the moisture content present in the surrounding air at a given location at the Wet Bulb temperature. Check FAQs

Y W' = Y A + (\frac{h G}{k Y' \cdot λ W}) \cdot (T G - T W)

Y_W' - Air Humidity at Wet Bulb Temperature?Y_A - Ambient Air Humidity?h_G - Heat Transfer Coefficient of the Air Film?k_Y' - Mass Transfer Coefficient of the Moisture?λ_W - Heat of Vaporization at Wet Bulb Temperature?T_G - Temperature of Air?T_W - Wet Bulb Temperature?

Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates Example

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Here is how the Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates equation looks like with Values.

Here is how the Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates equation looks like with Units.

Here is how the Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates equation looks like.

0.0213 = 0.016 + (\frac{13.32}{0.01 \cdot 2250}) \cdot (30 - 21)

0.0213kg/kg of air = 0.016kg/kg of air + (\frac{13.32W/m²*K}{0.01mol/s*m² \cdot 2250kJ/kg}) \cdot (30°C - 21°C)

0.0213 = 0.016 + (\frac{13.32}{0.01 \cdot 2250}) \cdot (30 - 21)

Tip: Use pencil () icon above to edit Input Values and Units.

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Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates Solution

Follow our step by step solution on how to calculate Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates?

FIRST Step Consider the formula

Y W' = Y A + (\frac{h G}{k Y' \cdot λ W}) \cdot (T G - T W)

Next Step Substitute values of Variables

∴

Y W' = 0.016kg/kg of air + (\frac{13.32W/m²*K}{0.01mol/s*m² \cdot 2250kJ/kg}) \cdot (30°C - 21°C)

Next Step Convert Units

∴

Y W' = 0.016kg/kg of air + (\frac{13.32W/m²*K}{0.01mol/s*m² \cdot 2.3E+6J/kg}) \cdot (303.15K - 294.15K)

Next Step Prepare to Evaluate

∴

Y W' = 0.016 + (\frac{13.32}{0.01 \cdot 2.3E+6}) \cdot (303.15 - 294.15)

Next Step Evaluate

∴

Y W' = 0.021328kg/kg of air

LAST Step Rounding Answer

∴

Y W' = 0.0213kg/kg of air

Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates Formula Elements

Variables

Air Humidity at Wet Bulb Temperature

Air humidity at Wet Bulb Temperature refers to the moisture content present in the surrounding air at a given location at the Wet Bulb temperature.

Symbol: Y_W'

Measurement: Specific HumidityUnit: kg/kg of air

Note: Value should be greater than 0.

Ambient Air Humidity

Ambient air humidity refers to the moisture content present in the surrounding air at a given location an temperature.

Symbol: Y_A

Measurement: Specific HumidityUnit: kg/kg of air

Note: Value should be greater than 0.

Heat Transfer Coefficient of the Air Film

Heat Transfer Coefficient of the Air Film is the proportionality factor between the heat transfer rate and the temperature driving force.

Symbol: h_G

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Mass Transfer Coefficient of the Moisture

Mass Transfer Coefficient of the Moisture is the proportionality factor between the mass transfer rate and the concentration driving force.

Symbol: k_Y'

Measurement: Molar Flux of Diffusing ComponentUnit: mol/s*m²

Note: Value should be greater than 0.

Heat of Vaporization at Wet Bulb Temperature

The heat of vaporization at wet bulb temperature is the energy required per unit mass to convert liquid water into vapor at the wet bulb temperature of the gas liquid mixture.

Symbol: λ_W

Measurement: Latent HeatUnit: kJ/kg

Note: Value should be greater than 0.

Temperature of Air

The Temperature of Air is defined as the temperature at which the air-water mixture properties in humidification are calculated.

Symbol: T_G

Measurement: TemperatureUnit: °C

Note: Value should be greater than -273.15.

Wet Bulb Temperature

Wet bulb temperature is the lowest temperature attainable by evaporating water into air at constant pressure.

Symbol: T_W

Measurement: TemperatureUnit: °C

Note: Value should be greater than -273.15.

Credits

Creator Image

Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

Vaibhav Mishra has created this Formula and 300+ more formulas!

Verifier Image

Verified by Heet Vora

Thadomal Shahani Engineering College (Tsec), Mumbai

Heet Vora has verified this Formula and 25+ more formulas!

Other formulas in Adiabatic Saturation Temperature and Wet Bulb Temperature category

Go Adiabatic Saturation Temperature

T S = T G - (Y S' - Y') \cdot (\frac{λ S}{C s})

Go Air Inlet Temperature based on Adiabatic Saturation Temperature

T G = (Y S' - Y') \cdot (\frac{λ S}{C s}) + T S

See More

How to Evaluate Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates?

Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates evaluator uses Air Humidity at Wet Bulb Temperature = Ambient Air Humidity+(Heat Transfer Coefficient of the Air Film/(Mass Transfer Coefficient of the Moisture*Heat of Vaporization at Wet Bulb Temperature))*(Temperature of Air-Wet Bulb Temperature) to evaluate the Air Humidity at Wet Bulb Temperature, The Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates formula is defined as the Air Humidity of an air water system at Wet Bulb Temperature calculated based on the heat & mass Transfer rates. Air Humidity at Wet Bulb Temperature is denoted by Y_W' symbol.

How to evaluate Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates using this online evaluator? To use this online evaluator for Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates, enter Ambient Air Humidity (Y_A), Heat Transfer Coefficient of the Air Film (h_G), Mass Transfer Coefficient of the Moisture (k_Y'), Heat of Vaporization at Wet Bulb Temperature (λ_W), Temperature of Air (T_G) & Wet Bulb Temperature (T_W) and hit the calculate button.

FAQs on Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates

What is the formula to find Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates?

The formula of Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates is expressed as Air Humidity at Wet Bulb Temperature = Ambient Air Humidity+(Heat Transfer Coefficient of the Air Film/(Mass Transfer Coefficient of the Moisture*Heat of Vaporization at Wet Bulb Temperature))*(Temperature of Air-Wet Bulb Temperature). Here is an example- 5.344 = 0.016+(13.32/(0.01*2250000))*(303.15-294.15).

How to calculate Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates?

With Ambient Air Humidity (Y_A), Heat Transfer Coefficient of the Air Film (h_G), Mass Transfer Coefficient of the Moisture (k_Y'), Heat of Vaporization at Wet Bulb Temperature (λ_W), Temperature of Air (T_G) & Wet Bulb Temperature (T_W) we can find Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates using the formula - Air Humidity at Wet Bulb Temperature = Ambient Air Humidity+(Heat Transfer Coefficient of the Air Film/(Mass Transfer Coefficient of the Moisture*Heat of Vaporization at Wet Bulb Temperature))*(Temperature of Air-Wet Bulb Temperature).

Can the Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates be negative?

No, the Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates, measured in Specific Humidity cannot be negative.

Which unit is used to measure Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates?

Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates is usually measured using the Kg of water vapour per Kg of air[kg/kg of air] for Specific Humidity. are the few other units in which Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates can be measured.

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