Liquid layer temperature in dehumidification Calculator

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Humidification

Basics of HMT

Conduction

Convection

Convective Mass Transfer

✖Inside Temperature is the temperature of air present inside.ⓘ Inside Temperature [t_i]			+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%
✖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 [k_y]			+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%
✖Liquid Phase Heat Transfer Coefficient is the heat transfer in liquid per unit area in kelvin.ⓘ Liquid Phase Heat Transfer Coefficient [h1]			+10% -10%

✖Liquid layer temperature is defined as the temperature of the flowing liquid layer in dehumidification.ⓘ Liquid layer temperature in dehumidification [Tl]

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Formula

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Liquid layer temperature in dehumidification

Formula

`"Tl" = "t"_{"i"}-((("hg"*("Tg"-"t"_{"i"}))+"hfg"*"k"_{"y"}*("Yg"-"Yi"))/"h1")`

Example

`"27315.04"="353K"-((("40W/m²*K"*("100"-"353K"))+"90J/kg*K"*"90mol/s*m²"*("16"-"50.7"))/"10.8W/m²*K")`

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Liquid layer temperature in dehumidification Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Tl = t_i-(((hg*(Tg-t_i))+hfg*k_y*(Yg-Yi))/h1)
This formula uses 9 Variables

Variables Used

Liquid layer temperature - Liquid layer temperature is defined as the temperature of the flowing liquid layer in dehumidification.
Inside Temperature - (Measured in Kelvin) - Inside Temperature is the temperature of air present inside.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Inside Temperature: 353 Kelvin --> 353 Kelvin 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
Gas Phase Mass Transfer Coefficient: 90 Mole per Second Square Meter --> 90 Mole per Second Square Meter No Conversion Required
Absolute Humidity of Air(tg): 16 --> No Conversion Required
Absolute Humidity (ti): 50.7 --> No Conversion Required
Liquid Phase Heat Transfer Coefficient: 10.8 Watt per Square Meter per Kelvin --> 10.8 Watt per Square Meter per Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

Tl = 27315.037037037

STEP 3: Convert Result to Output's Unit

27315.037037037 --> No Conversion Required

FINAL ANSWER

27315.037037037 ≈ 27315.04 <-- Liquid layer temperature

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Humidification » Liquid layer temperature in dehumidification

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Created by Nishan Poojary

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

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Rajat Vishwakarma

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

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< 24 Humidification Calculators

Absolute humidity at inside temperature in dehumidification

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

Enthalpy of evaporation in dehumidification

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

Liquid phase heat transfer coefficient in dehumidification

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

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)

Gas phase mass transfer coefficient in dehumidification

Go 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)))

Bulk gas temperature in dehumidification

Go Bulk Gas Temperature = (((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))))/Gas Phase Heat Transfer Coefficient)+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)

Specific heat of air given gas constant

Go Specific Heat of Air = (((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/(Gas constant*Density*(Air Temperature-Wet Bulb Temperature)*Mean Temperature*(Lewis Number^0.67))))

Gas constant of water vapor

Go Gas constant = (((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/((Air Temperature-Wet Bulb Temperature)*Density*Specific Heat of Air*Mean Temperature*(Lewis Number^0.67))))

Temperature of air given gas constant of water

Go Air Temperature = (((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/(Gas constant*Density*Specific Heat of Air*Mean Temperature*(Lewis Number^0.67))))+Wet Bulb Temperature

Wet bulb temperature given gas constant of water vapor

Go Wet Bulb Temperature = Air Temperature-((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/(Gas constant*Density*Specific Heat of Air*Mean Temperature*(Lewis Number^0.67)))

Temperature of air during humidification

Go Air Temperature = (((0.622*Enthalpy of Evaporation)/(Specific Heat of Air*(Lewis Number^0.67)))*((Partial Pressure/Total Pressure)-(Partial Pressure in air/Total Pressure)))+Wet Bulb Temperature

Wet bulb temperature of humidification

Go Wet Bulb Temperature = Air Temperature-((0.622*Enthalpy of Evaporation)/(Specific Heat of Air*(Lewis Number^0.67)))*((Partial Pressure/Total Pressure)-(Partial Pressure in air/Total Pressure))

Absolute Humidity of Air at Final Equilibrium Air Temperature

Go Absolute Humidity of Air(ta) = (((Specific Heat of Air+(Absolute Humidity of Air(tg)*Specific Heat of Water Vapor))*(Bulk Gas Temperature-Temperature))/(Enthalpy of Evaporation))+Absolute Humidity of Air(tg)

Gas phase mass transfer coefficient given humidity

Go 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))

Height of tower in adiabatic humidification

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

Mass velocity of air per unit area

Go Mass Velocity of Air = (Height*Gas Phase Mass Transfer Coefficient)/ln((Absolute Humidity of Air(ta)-Humidity of Air at Entry(t))/(Absolute Humidity of Air(ta)-Humidity of air at exit))

Partial pressure of water vapor at wet bulb temperature

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

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))

Partial pressure of water vapor in air

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

Heat transfer coefficient in humidification

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

Enthalpy of evaporation of water in humidification

Go Enthalpy of Evaporation = (Specific Heat of Air*(Lewis Number^0.67))/((Absolute Humidity of Air(tw)-Absolute Humidity of Air(atm))/(Air Temperature-Wet Bulb Temperature))

Specific heat of air during humidification

Go Specific Heat of Air = (Absolute Humidity of Air(tw)-Absolute Humidity of Air(atm))*Enthalpy of Evaporation/((Temperature-Air Temperature)*Lewis Number^0.67)

Liquid layer temperature 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 Liquid layer temperature in dehumidification?

Liquid layer temperature in dehumidification calculator uses 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) to calculate the Liquid layer temperature, The Liquid layer temperature in dehumidification formula is defined as the temperature of the flowing liquid layer in dehumidification. Liquid layer temperature is denoted by Tl symbol.

How to calculate Liquid layer temperature in dehumidification using this online calculator? To use this online calculator for Liquid layer temperature in dehumidification, enter Inside Temperature (t_i), Gas Phase Heat Transfer Coefficient (hg), Bulk Gas Temperature (Tg), Enthalpy of Evaporation (hfg), Gas Phase Mass Transfer Coefficient (k_y), Absolute Humidity of Air(tg) (Yg), Absolute Humidity (ti) (Yi) & Liquid Phase Heat Transfer Coefficient (h1) and hit the calculate button. Here is how the Liquid layer temperature in dehumidification calculation can be explained with given input values -> 24423.37 = 353-(((40*(100-353))+90*90*(16-50.7))/10.8).

FAQ

What is Liquid layer temperature in dehumidification?

The Liquid layer temperature in dehumidification formula is defined as the temperature of the flowing liquid layer in dehumidification and is represented as Tl = t_i-(((hg*(Tg-t_i))+hfg*k_y*(Yg-Yi))/h1) or 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). Inside Temperature is the temperature of air present inside, 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, 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, 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 & Liquid Phase Heat Transfer Coefficient is the heat transfer in liquid per unit area in kelvin.

How to calculate Liquid layer temperature in dehumidification?

The Liquid layer temperature in dehumidification formula is defined as the temperature of the flowing liquid layer in dehumidification is calculated using 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). To calculate Liquid layer temperature in dehumidification, you need Inside Temperature (t_i), Gas Phase Heat Transfer Coefficient (hg), Bulk Gas Temperature (Tg), Enthalpy of Evaporation (hfg), Gas Phase Mass Transfer Coefficient (k_y), Absolute Humidity of Air(tg) (Yg), Absolute Humidity (ti) (Yi) & Liquid Phase Heat Transfer Coefficient (h1). With our tool, you need to enter the respective value for Inside Temperature, Gas Phase Heat Transfer Coefficient, Bulk Gas Temperature, Enthalpy of Evaporation, Gas Phase Mass Transfer Coefficient, Absolute Humidity of Air(tg), Absolute Humidity (ti) & Liquid Phase Heat Transfer Coefficient 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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