Height of tower in adiabatic humidification Calculator

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Humidification

Basics of HMT

Conduction

Convection

Convective Mass Transfer

✖Mass velocity of air is the amount of air travelling per unit area in a second.ⓘ Mass Velocity of Air [G]			+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 at final temperature is the quality of water vapor in the wet air of unit volume at the final equilibrium air temperature.ⓘ Absolute Humidity at Final Temperature [Y_i]			+10% -10%
✖The humidity of air at entry is the quantity of water vapor at wet air in the entrance of the tower.ⓘ Humidity of air at entry [Y₁]			+10% -10%
✖Humidity of air at exit is the quantity of water vapor at wet air in the exit of the tower.ⓘ Humidity of air at exit [Y2]			+10% -10%

✖Height of the tower is the total length of the tower from the top to the bottom.ⓘ Height of tower in adiabatic humidification [Z]

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Formula

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Height of tower in adiabatic humidification

Formula

`"Z" = ("G"/"k"_{"y"})*ln(("Y"_{"i"}-"Y"_{"1"})/("Y"_{"i"}-"Y2"))`

Example

`"0.040134m"=("18"/"90mol/s*m²")*ln(("60"-"5")/("60"-"15"))`

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Height of tower in adiabatic humidification Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Z = (G/k_y)*ln((Y_i-Y₁)/(Y_i-Y2))
This formula uses 1 Functions, 6 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Height - (Measured in Meter) - Height of the tower is the total length of the tower from the top to the bottom.
Mass Velocity of Air - Mass velocity of air is the amount of air travelling per unit area in a second.
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 at Final Temperature - Absolute humidity at final temperature is the quality of water vapor in the wet air of unit volume at the final equilibrium air temperature.
Humidity of air at entry - The humidity of air at entry is the quantity of water vapor at wet air in the entrance of the tower.
Humidity of air at exit - Humidity of air at exit is the quantity of water vapor at wet air in the exit of the tower.

STEP 1: Convert Input(s) to Base Unit

Mass Velocity of Air: 18 --> 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 at Final Temperature: 60 --> No Conversion Required
Humidity of air at entry: 5 --> No Conversion Required
Humidity of air at exit: 15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z = (G/k_y)*ln((Y_i-Y₁)/(Y_i-Y2)) --> (18/90)*ln((60-5)/(60-15))

Evaluating ... ...

Z = 0.0401341390924303

STEP 3: Convert Result to Output's Unit

0.0401341390924303 Meter --> No Conversion Required

FINAL ANSWER

0.0401341390924303 ≈ 0.040134 Meter <-- Height

(Calculation completed in 00.010 seconds)

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Home » Physics » Heat and Mass Transfer » Humidification » Height of tower in adiabatic humidification

Credits

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 Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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)

Height of tower in adiabatic humidification 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 Height of tower in adiabatic humidification?

Height of tower in adiabatic humidification calculator uses 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)) to calculate the Height, The Height of tower in adiabatic humidification formula is defined as the length of the tower required for the abiotic humidification of the water. Height is denoted by Z symbol.

How to calculate Height of tower in adiabatic humidification using this online calculator? To use this online calculator for Height of tower in adiabatic humidification, enter Mass Velocity of Air (G), Gas Phase Mass Transfer Coefficient (k_y), Absolute Humidity at Final Temperature (Y_i), Humidity of air at entry (Y₁) & Humidity of air at exit (Y2) and hit the calculate button. Here is how the Height of tower in adiabatic humidification calculation can be explained with given input values -> 0.040134 = (18/90)*ln((60-5)/(60-15)).

FAQ

What is Height of tower in adiabatic humidification?

The Height of tower in adiabatic humidification formula is defined as the length of the tower required for the abiotic humidification of the water and is represented as Z = (G/k_y)*ln((Y_i-Y₁)/(Y_i-Y2)) or 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 is the amount of air travelling per unit area in a second, 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 at final temperature is the quality of water vapor in the wet air of unit volume at the final equilibrium air temperature, The humidity of air at entry is the quantity of water vapor at wet air in the entrance of the tower & Humidity of air at exit is the quantity of water vapor at wet air in the exit of the tower.

How to calculate Height of tower in adiabatic humidification?

The Height of tower in adiabatic humidification formula is defined as the length of the tower required for the abiotic humidification of the water is calculated using 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)). To calculate Height of tower in adiabatic humidification, you need Mass Velocity of Air (G), Gas Phase Mass Transfer Coefficient (k_y), Absolute Humidity at Final Temperature (Y_i), Humidity of air at entry (Y₁) & Humidity of air at exit (Y2). With our tool, you need to enter the respective value for Mass Velocity of Air, Gas Phase Mass Transfer Coefficient, Absolute Humidity at Final Temperature, Humidity of air at entry & Humidity of air at exit 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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