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Gas phase mass transfer coefficient in dehumidification Calculator

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✖Liquid Phase Heat Transfer Coefficient is the heat transfer in liquid per unit area in kelvin.ⓘ Liquid Phase Heat Transfer Coefficient [h1]			+10% -10%
✖Inside Temperature is the temperature of air present inside.ⓘ Inside Temperature [t_i]			+10% -10%
✖Liquid layer temperature is defined as the temperature of the flowing liquid layer in dehumidification.ⓘ Liquid layer temperature [Tl]			+10% -10%
✖Gas Phase Heat Transfer Coefficient is the heat transfer in gas per unit area in kelvin.ⓘ Gas Phase Heat Transfer Coefficient [hg]			+10% -10%
✖Bulk gas temperature is adiabatic mixing of the gas from a given cross section of duct will result in some equilibrium temperature that accurately reflects average temperature of the moving fluid.ⓘ Bulk Gas Temperature [Tg]			+10% -10%
✖Enthalpy of evaporation is the amount of energy (enthalpy) that must be added to a liquid substance to transform a quantity of that substance into a gas.ⓘ Enthalpy of Evaporation [hfg]			+10% -10%
✖Absolute Humidity of Air(tg) at the initial air temperature.ⓘ Absolute Humidity of Air(tg) [Yg]			+10% -10%
✖Absolute humidity (ti) is the quality of water vapor in the wet air of unit volume at temperature ti.ⓘ Absolute Humidity (ti) [Yi]			+10% -10%

✖Gas phase mass transfer coefficient is a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force.ⓘ Gas phase mass transfer coefficient in dehumidification [k_y]

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Formula

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Gas phase mass transfer coefficient in dehumidification

Formula

k y = \frac{(h1 \cdot (t i - Tl)) - hg \cdot (Tg - t i)}{hfg \cdot (Yg - Yi)}

Example

-4.392059 mol/s*m² = \frac{(10.8 W/m²*K \cdot (353 K - 20)) - 40 W/m²*K \cdot (100 - 353 K)}{90 J/kg*K \cdot (16 - 50.7)}

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Gas phase mass transfer coefficient in dehumidification Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gas Phase Mass Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))/(Enthalpy of Evaporation*(Absolute Humidity of Air(tg)-Absolute Humidity (ti)))
k_y = ((h1*(t_i-Tl))-hg*(Tg-t_i))/(hfg*(Yg-Yi))
This formula uses 9 Variables

Variables Used

Gas Phase Mass Transfer Coefficient - (Measured in Mole per Second Square Meter) - Gas phase mass transfer coefficient is a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force.
Liquid Phase Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Liquid Phase Heat Transfer Coefficient is the heat transfer in liquid per unit area in kelvin.
Inside Temperature - (Measured in Kelvin) - Inside Temperature is the temperature of air present inside.
Liquid layer temperature - Liquid layer temperature is defined as the temperature of the flowing liquid layer in dehumidification.
Gas Phase Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Gas Phase Heat Transfer Coefficient is the heat transfer in gas per unit area in kelvin.
Bulk Gas Temperature - Bulk gas temperature is adiabatic mixing of the gas from a given cross section of duct will result in some equilibrium temperature that accurately reflects average temperature of the moving fluid.
Enthalpy of Evaporation - (Measured in Joule per Kilogram K) - Enthalpy of evaporation is the amount of energy (enthalpy) that must be added to a liquid substance to transform a quantity of that substance into a gas.
Absolute Humidity of Air(tg) - Absolute Humidity of Air(tg) at the initial air temperature.
Absolute Humidity (ti) - Absolute humidity (ti) is the quality of water vapor in the wet air of unit volume at temperature ti.

STEP 1: Convert Input(s) to Base Unit

Liquid Phase Heat Transfer Coefficient: 10.8 Watt per Square Meter per Kelvin --> 10.8 Watt per Square Meter per Kelvin No Conversion Required
Inside Temperature: 353 Kelvin --> 353 Kelvin No Conversion Required
Liquid layer temperature: 20 --> No Conversion Required
Gas Phase Heat Transfer Coefficient: 40 Watt per Square Meter per Kelvin --> 40 Watt per Square Meter per Kelvin No Conversion Required
Bulk Gas Temperature: 100 --> No Conversion Required
Enthalpy of Evaporation: 90 Joule per Kilogram K --> 90 Joule per Kilogram K No Conversion Required
Absolute Humidity of Air(tg): 16 --> No Conversion Required
Absolute Humidity (ti): 50.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_y = ((h1*(t_i-Tl))-hg*(Tg-t_i))/(hfg*(Yg-Yi)) --> ((10.8*(353-20))-40*(100-353))/(90*(16-50.7))

Evaluating ... ...

k_y = -4.39205891770733

STEP 3: Convert Result to Output's Unit

-4.39205891770733 Mole per Second Square Meter --> No Conversion Required

FINAL ANSWER

-4.39205891770733 ≈ -4.392059 Mole per Second Square Meter <-- Gas Phase Mass Transfer Coefficient

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Mechanical » Humidification » Gas phase mass transfer coefficient in dehumidification

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< Humidification Calculators

Gas phase heat transfer coefficient in dehumidification

Go Gas Phase Heat Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-(Enthalpy of Evaporation*Gas Phase Mass Transfer Coefficient*(Absolute Humidity of Air(tg)-Absolute Humidity (ti))))/(Bulk Gas Temperature-Inside Temperature)

Liquid layer temperature in dehumidification

Go Liquid layer temperature = Inside Temperature-(((Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))+Enthalpy of Evaporation*Gas Phase Mass Transfer Coefficient*(Absolute Humidity of Air(tg)-Absolute Humidity (ti)))/Liquid Phase Heat Transfer Coefficient)

Convective mass transfer coefficient in humidification

Go Convective Mass Transfer Coefficient = (Convective Heat Transfer Coefficient*(Air Temperature-Wet Bulb Temperature))/(Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))

Enthalpy of evaporation for water in humidification

Go Enthalpy of Evaporation = (Convective Heat Transfer Coefficient*(Air Temperature-Wet Bulb Temperature))/(Convective Mass Transfer Coefficient*(Partial Pressure-Partial Pressure in air))

Gas phase mass transfer coefficient in dehumidification Formula

What is humidification?

Humidification is the process in which the moisture or water vapor or humidity is added to the air. Common equipment used in this process is a humidifier. Dehumidification as the term suggests, is the opposite of humidification since dehumidification means removing the moisture from the air. Common equipment used in this process is a dehumidifier.
Humidity is the presence of water vapor or moisture in the air, while relative humidity, on the other hand, is the comparison of the actual moisture or water vapor in the air vs. the total water vapor or moisture that the air can handle.

How to Calculate Gas phase mass transfer coefficient in dehumidification?

Gas phase mass transfer coefficient in dehumidification calculator uses Gas Phase Mass Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))/(Enthalpy of Evaporation*(Absolute Humidity of Air(tg)-Absolute Humidity (ti))) to calculate the Gas Phase Mass Transfer Coefficient, The Gas phase mass transfer coefficient in dehumidification formula is defined as a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force. Gas Phase Mass Transfer Coefficient is denoted by k_y symbol.

How to calculate Gas phase mass transfer coefficient in dehumidification using this online calculator? To use this online calculator for Gas phase mass transfer coefficient in dehumidification, enter Liquid Phase Heat Transfer Coefficient (h1), Inside Temperature (t_i), Liquid layer temperature (Tl), Gas Phase Heat Transfer Coefficient (hg), Bulk Gas Temperature (Tg), Enthalpy of Evaporation (hfg), Absolute Humidity of Air(tg) (Yg) & Absolute Humidity (ti) (Yi) and hit the calculate button. Here is how the Gas phase mass transfer coefficient in dehumidification calculation can be explained with given input values -> -4.941066 = ((10.8*(353-20))-40*(100-353))/(90*(16-50.7)).

FAQ

What is Gas phase mass transfer coefficient in dehumidification?

The Gas phase mass transfer coefficient in dehumidification formula is defined as a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force and is represented as k_y = ((h1*(t_i-Tl))-hg*(Tg-t_i))/(hfg*(Yg-Yi)) or Gas Phase Mass Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))/(Enthalpy of Evaporation*(Absolute Humidity of Air(tg)-Absolute Humidity (ti))). Liquid Phase Heat Transfer Coefficient is the heat transfer in liquid per unit area in kelvin, Inside Temperature is the temperature of air present inside, Liquid layer temperature is defined as the temperature of the flowing liquid layer in dehumidification, Gas Phase Heat Transfer Coefficient is the heat transfer in gas per unit area in kelvin, Bulk gas temperature is adiabatic mixing of the gas from a given cross section of duct will result in some equilibrium temperature that accurately reflects average temperature of the moving fluid, Enthalpy of evaporation is the amount of energy (enthalpy) that must be added to a liquid substance to transform a quantity of that substance into a gas, Absolute Humidity of Air(tg) at the initial air temperature & Absolute humidity (ti) is the quality of water vapor in the wet air of unit volume at temperature ti.

How to calculate Gas phase mass transfer coefficient in dehumidification?

The Gas phase mass transfer coefficient in dehumidification formula is defined as a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force is calculated using Gas Phase Mass Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))/(Enthalpy of Evaporation*(Absolute Humidity of Air(tg)-Absolute Humidity (ti))). To calculate Gas phase mass transfer coefficient in dehumidification, you need Liquid Phase Heat Transfer Coefficient (h1), Inside Temperature (t_i), Liquid layer temperature (Tl), Gas Phase Heat Transfer Coefficient (hg), Bulk Gas Temperature (Tg), Enthalpy of Evaporation (hfg), Absolute Humidity of Air(tg) (Yg) & Absolute Humidity (ti) (Yi). With our tool, you need to enter the respective value for Liquid Phase Heat Transfer Coefficient, Inside Temperature, Liquid layer temperature, Gas Phase Heat Transfer Coefficient, Bulk Gas Temperature, Enthalpy of Evaporation, Absolute Humidity of Air(tg) & Absolute Humidity (ti) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Gas Phase Mass Transfer Coefficient?

In this formula, Gas Phase Mass Transfer Coefficient uses Liquid Phase Heat Transfer Coefficient, Inside Temperature, Liquid layer temperature, Gas Phase Heat Transfer Coefficient, Bulk Gas Temperature, Enthalpy of Evaporation, Absolute Humidity of Air(tg) & Absolute Humidity (ti). We can use 1 other way(s) to calculate the same, which is/are as follows -

Gas Phase Mass Transfer Coefficient = (Mass Velocity of Air/Height)*ln((Absolute Humidity at Final Temperature-Humidity of air at entry)/(Absolute Humidity at Final Temperature-Humidity of air at exit))

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