Mass Transfer Coefficient based on Wet Bulb Temperature Calculator

✖The Temperature of Air is defined as the temperature at which the air-water mixture properties in humidification are calculated.ⓘ Temperature of Air [T_G]			+10% -10%
✖Wet bulb temperature is the lowest temperature attainable by evaporating water into air at constant pressure.ⓘ Wet Bulb Temperature [T_W]			+10% -10%
✖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.ⓘ Air Humidity at Wet Bulb Temperature [Y_W']			+10% -10%
✖Ambient air humidity refers to the moisture content present in the surrounding air at a given location an temperature.ⓘ Ambient Air Humidity [Y_A]			+10% -10%
✖Heat Transfer Coefficient of the Air Film is the proportionality factor between the heat transfer rate and the temperature driving force.ⓘ Heat Transfer Coefficient of the Air Film [h_G]			+10% -10%
✖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.ⓘ Heat of Vaporization at Wet Bulb Temperature [λ_W]			+10% -10%

✖Mass Transfer Coefficient of the Moisture is the proportionality factor between the mass transfer rate and the concentration driving force.ⓘ Mass Transfer Coefficient based on Wet Bulb Temperature [k_Y']

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Formula

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Mass Transfer Coefficient based on Wet Bulb Temperature

Formula

`("k"_{"Y"}"'") = (("T"_{"G"}-"T"_{"W"})/(("Y"_{"W"}"'")-"Y"_{"A"}))*("h"_{"G"}/"λ"_{"W"})`

Example

`"0.010656mol/s*m²"=(("30°C"-"21°C")/("0.021kg/kg of air"-"0.016kg/kg of air"))*("13.32W/m²*K"/"2250kJ/kg")`

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Mass Transfer Coefficient based on Wet Bulb Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass Transfer Coefficient of the Moisture = ((Temperature of Air-Wet Bulb Temperature)/(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity))*(Heat Transfer Coefficient of the Air Film/Heat of Vaporization at Wet Bulb Temperature)
k_Y' = ((T_G-T_W)/(Y_W'-Y_A))*(h_G/λ_W)
This formula uses 7 Variables

Variables Used

Mass Transfer Coefficient of the Moisture - (Measured in Mole per Second Square Meter) - Mass Transfer Coefficient of the Moisture is the proportionality factor between the mass transfer rate and the concentration driving force.
Temperature of Air - (Measured in Kelvin) - The Temperature of Air is defined as the temperature at which the air-water mixture properties in humidification are calculated.
Wet Bulb Temperature - (Measured in Kelvin) - Wet bulb temperature is the lowest temperature attainable by evaporating water into air at constant pressure.
Air Humidity at Wet Bulb Temperature - (Measured in Kg of water vapour per Kg of air) - 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.
Ambient Air Humidity - (Measured in Kg of water vapour per Kg of air) - Ambient air humidity refers to the moisture content present in the surrounding air at a given location an temperature.
Heat Transfer Coefficient of the Air Film - (Measured in Watt per Square Meter per Kelvin) - Heat Transfer Coefficient of the Air Film is the proportionality factor between the heat transfer rate and the temperature driving force.
Heat of Vaporization at Wet Bulb Temperature - (Measured in Joule per Kilogram) - 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.

STEP 1: Convert Input(s) to Base Unit

Temperature of Air: 30 Celsius --> 303.15 Kelvin (Check conversion here)
Wet Bulb Temperature: 21 Celsius --> 294.15 Kelvin (Check conversion here)
Air Humidity at Wet Bulb Temperature: 0.021 Kg of water vapour per Kg of air --> 0.021 Kg of water vapour per Kg of air No Conversion Required
Ambient Air Humidity: 0.016 Kg of water vapour per Kg of air --> 0.016 Kg of water vapour per Kg of air No Conversion Required
Heat Transfer Coefficient of the Air Film: 13.32 Watt per Square Meter per Kelvin --> 13.32 Watt per Square Meter per Kelvin No Conversion Required
Heat of Vaporization at Wet Bulb Temperature: 2250 Kilojoule per Kilogram --> 2250000 Joule per Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_Y' = ((T_G-T_W)/(Y_W'-Y_A))*(h_G/λ_W) --> ((303.15-294.15)/(0.021-0.016))*(13.32/2250000)

Evaluating ... ...

k_Y' = 0.010656

STEP 3: Convert Result to Output's Unit

0.010656 Mole per Second Square Meter --> No Conversion Required

FINAL ANSWER

0.010656 Mole per Second Square Meter <-- Mass Transfer Coefficient of the Moisture

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Humidification & Dehumidification » Adiabatic Saturation Temperature and Wet Bulb Temperature » Mass Transfer Coefficient based on Wet Bulb Temperature

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< 13 Adiabatic Saturation Temperature and Wet Bulb Temperature Calculators

Mass Transfer Coefficient based on Wet Bulb Temperature

Go Mass Transfer Coefficient of the Moisture = ((Temperature of Air-Wet Bulb Temperature)/(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity))*(Heat Transfer Coefficient of the Air Film/Heat of Vaporization at Wet Bulb Temperature)

Latent Heat of Air based on Wet Bulb Temperature

Go Heat of Vaporization at Wet Bulb Temperature = ((Temperature of Air-Wet Bulb Temperature)/(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity))*(Heat Transfer Coefficient of the Air Film/Mass Transfer Coefficient of the Moisture)

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

Go 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)

Heat Transfer Coefficient based on Wet Bulb Temperature

Go Heat Transfer Coefficient of the Air Film = Mass Transfer Coefficient of the Moisture*Heat of Vaporization at Wet Bulb Temperature*((Air Humidity at Wet Bulb Temperature-Ambient Air Humidity)/(Temperature of Air-Wet Bulb Temperature))

Ambient Air Temperature based on Wet Bulb Temperature

Go Temperature of Air = Wet Bulb Temperature+(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity)*((Mass Transfer Coefficient of the Moisture*Heat of Vaporization at Wet Bulb Temperature)/Heat Transfer Coefficient of the Air Film)

Ambient Air Humidity based on Wet Bulb Temperature

Go Ambient Air Humidity = Air Humidity at Wet Bulb Temperature-(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)

Wet Bulb Temperature

Go Wet Bulb Temperature = Temperature of Air-(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity)*((Mass Transfer Coefficient of the Moisture*Heat of Vaporization at Wet Bulb Temperature)/Heat Transfer Coefficient of the Air Film)

Saturated Exit Air Humidity based on Adiabatic Saturation Temperature

Go Saturated Exit Air Humidity = (Temperature of Air-Adiabatic Saturation Temperature)*(Humid Heat/Heat of Vaporization at Adiabatic Saturation Temp)+Inlet Air Humidity

Air Inlet Temperature based on Adiabatic Saturation Temperature

Go Temperature of Air = (Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)+Adiabatic Saturation Temperature

Latent Heat of Air based on Adiabatic Saturation Temperature

Go Heat of Vaporization at Adiabatic Saturation Temp = (Temperature of Air-Adiabatic Saturation Temperature)/(Saturated Exit Air Humidity-Inlet Air Humidity)*Humid Heat

Inlet Air Humidity based on Adiabatic Saturation Temperature

Go Inlet Air Humidity = Saturated Exit Air Humidity-(Temperature of Air-Adiabatic Saturation Temperature)*(Humid Heat/Heat of Vaporization at Adiabatic Saturation Temp)

Humid Heat of Air based on Adiabatic Saturation Temperature

Go Humid Heat = (Saturated Exit Air Humidity-Inlet Air Humidity)/(Temperature of Air-Adiabatic Saturation Temperature)*Heat of Vaporization at Adiabatic Saturation Temp

Adiabatic Saturation Temperature

Go Adiabatic Saturation Temperature = Temperature of Air-(Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)

Mass Transfer Coefficient based on Wet Bulb Temperature Formula

What is Wet Bulb Temperature?

Wet bulb temperature is the lowest temperature that can be achieved by evaporating water into air at constant pressure, measured using a thermometer with its bulb covered by a wet cloth. It provides insights into the cooling potential of air through evaporation and is a key parameter in psychrometrics, commonly used in HVAC engineering and meteorology. Wet bulb temperature helps assess humidity levels, determine dew point, and evaluate the efficiency of cooling processes without direct application mentioned.

What is Humidification Process?

The humidification process involves adding moisture to indoor air to increase its relative humidity. It begins by measuring the current humidity level using a hygrometer. A desired humidity level is set, typically between 30% and 60%. Different humidification methods like evaporative, steam, or ultrasonic are chosen based on space requirements. The humidifier, often equipped with a humidistat, is then operated to release moisture. As the humidifier maintains the setpoint, it continuously monitors and controls humidity levels. Regular maintenance is essential to prevent issues and ensure safe and effective operation, especially in dry environments or during winter when indoor heating can dry out the air.

How to Calculate Mass Transfer Coefficient based on Wet Bulb Temperature?

Mass Transfer Coefficient based on Wet Bulb Temperature calculator uses Mass Transfer Coefficient of the Moisture = ((Temperature of Air-Wet Bulb Temperature)/(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity))*(Heat Transfer Coefficient of the Air Film/Heat of Vaporization at Wet Bulb Temperature) to calculate the Mass Transfer Coefficient of the Moisture, The Mass Transfer Coefficient based on Wet Bulb Temperature formula is defined as the mass transfer coefficient of the air-water mixture where the evaporation of air for its saturation is represented by the wet bulb temperature. Mass Transfer Coefficient of the Moisture is denoted by k_Y' symbol.

How to calculate Mass Transfer Coefficient based on Wet Bulb Temperature using this online calculator? To use this online calculator for Mass Transfer Coefficient based on Wet Bulb Temperature, enter Temperature of Air (T_G), Wet Bulb Temperature (T_W), Air Humidity at Wet Bulb Temperature (Y_W'), Ambient Air Humidity (Y_A), Heat Transfer Coefficient of the Air Film (h_G) & Heat of Vaporization at Wet Bulb Temperature (λ_W) and hit the calculate button. Here is how the Mass Transfer Coefficient based on Wet Bulb Temperature calculation can be explained with given input values -> 0.010656 = ((303.15-294.15)/(0.021-0.016))*(13.32/2250000).

FAQ

What is Mass Transfer Coefficient based on Wet Bulb Temperature?

The Mass Transfer Coefficient based on Wet Bulb Temperature formula is defined as the mass transfer coefficient of the air-water mixture where the evaporation of air for its saturation is represented by the wet bulb temperature and is represented as k_Y' = ((T_G-T_W)/(Y_W'-Y_A))*(h_G/λ_W) or Mass Transfer Coefficient of the Moisture = ((Temperature of Air-Wet Bulb Temperature)/(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity))*(Heat Transfer Coefficient of the Air Film/Heat of Vaporization at Wet Bulb Temperature). The Temperature of Air is defined as the temperature at which the air-water mixture properties in humidification are calculated, Wet bulb temperature is the lowest temperature attainable by evaporating water into air at constant pressure, 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, Ambient air humidity refers to the moisture content present in the surrounding air at a given location an temperature, Heat Transfer Coefficient of the Air Film is the proportionality factor between the heat transfer rate and the temperature driving force & 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.

How to calculate Mass Transfer Coefficient based on Wet Bulb Temperature?

The Mass Transfer Coefficient based on Wet Bulb Temperature formula is defined as the mass transfer coefficient of the air-water mixture where the evaporation of air for its saturation is represented by the wet bulb temperature is calculated using Mass Transfer Coefficient of the Moisture = ((Temperature of Air-Wet Bulb Temperature)/(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity))*(Heat Transfer Coefficient of the Air Film/Heat of Vaporization at Wet Bulb Temperature). To calculate Mass Transfer Coefficient based on Wet Bulb Temperature, you need Temperature of Air (T_G), Wet Bulb Temperature (T_W), Air Humidity at Wet Bulb Temperature (Y_W'), Ambient Air Humidity (Y_A), Heat Transfer Coefficient of the Air Film (h_G) & Heat of Vaporization at Wet Bulb Temperature (λ_W). With our tool, you need to enter the respective value for Temperature of Air, Wet Bulb Temperature, Air Humidity at Wet Bulb Temperature, Ambient Air Humidity, Heat Transfer Coefficient of the Air Film & Heat of Vaporization at Wet Bulb Temperature 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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