Heat transfer coefficient in humidification Calculator

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Humidification

Basics of HMT

Conduction

Convection

Convective Mass Transfer

✖Partial pressure of the water vapor at wet bulb temperature.ⓘ Partial Pressure [Pw]			+10% -10%
✖Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air.ⓘ Partial Pressure in air [P∞]			+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%
✖Convective Mass Transfer Coefficient is a function of geometry of the system and the velocity and properties of the fluid similar to the heat transfer coefficient.ⓘ Convective Mass Transfer Coefficient [k_L]			+10% -10%
✖Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin.ⓘ Air Temperature [T∞]			+10% -10%
✖Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.ⓘ Wet Bulb Temperature [T_w]			+10% -10%

✖The Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.ⓘ Heat transfer coefficient in humidification [h]

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Formula

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Heat transfer coefficient in humidification

Formula

`"h" = (("Pw"-"P∞")*("hfg"*"k"_{"L"}))/("T∞"-"T"_{"w"})`

Example

`"0.528634W/m²*K"=(("13"-"0.016")*("90J/kg*K"*"9.5e-3m/s"))/("35"-"14")`

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Heat transfer coefficient in humidification Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Transfer Coefficient = ((Partial Pressure-Partial Pressure in air)*(Enthalpy of Evaporation*Convective Mass Transfer Coefficient))/(Air Temperature-Wet Bulb Temperature)
h = ((Pw-P∞)*(hfg*k_L))/(T∞-T_w)
This formula uses 7 Variables

Variables Used

Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - The Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.
Partial Pressure - Partial pressure of the water vapor at wet bulb temperature.
Partial Pressure in air - Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air.
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.
Convective Mass Transfer Coefficient - (Measured in Meter per Second) - Convective Mass Transfer Coefficient is a function of geometry of the system and the velocity and properties of the fluid similar to the heat transfer coefficient.
Air Temperature - Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin.
Wet Bulb Temperature - Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.

STEP 1: Convert Input(s) to Base Unit

Partial Pressure: 13 --> No Conversion Required
Partial Pressure in air: 0.016 --> No Conversion Required
Enthalpy of Evaporation: 90 Joule per Kilogram K --> 90 Joule per Kilogram K No Conversion Required
Convective Mass Transfer Coefficient: 0.0095 Meter per Second --> 0.0095 Meter per Second No Conversion Required
Air Temperature: 35 --> No Conversion Required
Wet Bulb Temperature: 14 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = ((Pw-P∞)*(hfg*k_L))/(T∞-T_w) --> ((13-0.016)*(90*0.0095))/(35-14)

Evaluating ... ...

h = 0.528634285714286

STEP 3: Convert Result to Output's Unit

0.528634285714286 Watt per Square Meter per Kelvin --> No Conversion Required

FINAL ANSWER

0.528634285714286 ≈ 0.528634 Watt per Square Meter per Kelvin <-- Heat Transfer Coefficient

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Humidification » Heat transfer coefficient in humidification

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Created by Nishan Poojary

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

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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)

Heat transfer coefficient in 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 Heat transfer coefficient in humidification?

Heat transfer coefficient in humidification calculator uses Heat Transfer Coefficient = ((Partial Pressure-Partial Pressure in air)*(Enthalpy of Evaporation*Convective Mass Transfer Coefficient))/(Air Temperature-Wet Bulb Temperature) to calculate the Heat Transfer Coefficient, The Heat transfer coefficient in humidification formula is defined as the characteristic of convective heat transfer between a fluid medium (a fluid) and the surface (wall) flowed over by the fluid. Heat Transfer Coefficient is denoted by h symbol.

How to calculate Heat transfer coefficient in humidification using this online calculator? To use this online calculator for Heat transfer coefficient in humidification, enter Partial Pressure (Pw), Partial Pressure in air (P∞), Enthalpy of Evaporation (hfg), Convective Mass Transfer Coefficient (k_L), Air Temperature (T∞) & Wet Bulb Temperature (T_w) and hit the calculate button. Here is how the Heat transfer coefficient in humidification calculation can be explained with given input values -> 0.469897 = ((13-0.016)*(90*0.0095))/(35-14).

FAQ

What is Heat transfer coefficient in humidification?

The Heat transfer coefficient in humidification formula is defined as the characteristic of convective heat transfer between a fluid medium (a fluid) and the surface (wall) flowed over by the fluid and is represented as h = ((Pw-P∞)*(hfg*k_L))/(T∞-T_w) or Heat Transfer Coefficient = ((Partial Pressure-Partial Pressure in air)*(Enthalpy of Evaporation*Convective Mass Transfer Coefficient))/(Air Temperature-Wet Bulb Temperature). Partial pressure of the water vapor at wet bulb temperature, Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air, 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, Convective Mass Transfer Coefficient is a function of geometry of the system and the velocity and properties of the fluid similar to the heat transfer coefficient, Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin & Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.

How to calculate Heat transfer coefficient in humidification?

The Heat transfer coefficient in humidification formula is defined as the characteristic of convective heat transfer between a fluid medium (a fluid) and the surface (wall) flowed over by the fluid is calculated using Heat Transfer Coefficient = ((Partial Pressure-Partial Pressure in air)*(Enthalpy of Evaporation*Convective Mass Transfer Coefficient))/(Air Temperature-Wet Bulb Temperature). To calculate Heat transfer coefficient in humidification, you need Partial Pressure (Pw), Partial Pressure in air (P∞), Enthalpy of Evaporation (hfg), Convective Mass Transfer Coefficient (k_L), Air Temperature (T∞) & Wet Bulb Temperature (T_w). With our tool, you need to enter the respective value for Partial Pressure, Partial Pressure in air, Enthalpy of Evaporation, Convective Mass Transfer Coefficient, Air Temperature & 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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