Ambient Air Temperature based on Wet Bulb Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
TG = TW+(YW'-YA)*((kY'*λW)/hG)
This formula uses 7 Variables
Variables Used
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
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
Mass Transfer Coefficient of the Moisture: 0.01 Mole per Second Square Meter --> 0.01 Mole per Second Square Meter No Conversion Required
Heat of Vaporization at Wet Bulb Temperature: 2250 Kilojoule per Kilogram --> 2250000 Joule per Kilogram (Check conversion ​here)
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TG = TW+(YW'-YA)*((kY'*λW)/hG) --> 294.15+(0.021-0.016)*((0.01*2250000)/13.32)
Evaluating ... ...
TG = 302.595945945946
STEP 3: Convert Result to Output's Unit
302.595945945946 Kelvin -->29.4459459459459 Celsius (Check conversion ​here)
FINAL ANSWER
29.4459459459459 29.44595 Celsius <-- Temperature of Air
(Calculation completed in 00.004 seconds)

Credits

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Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
Vaibhav Mishra has created this Calculator and 300+ more calculators!
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Verified by Heet
Thadomal Shahani Engineering College (Tsec), Mumbai
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Adiabatic Saturation Temperature and Wet Bulb Temperature Calculators

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

Ambient Air Temperature based on Wet Bulb Temperature Formula

​LaTeX ​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)
TG = TW+(YW'-YA)*((kY'*λW)/hG)

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 Ambient Air Temperature based on Wet Bulb Temperature?

Ambient Air Temperature based on Wet Bulb Temperature calculator uses 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) to calculate the Temperature of Air, The Ambient Air Temperature based on Wet Bulb Temperature formula is defined as the temperature of the ambient air for a given wet bulb temperature and heat and mass transfer rates. Temperature of Air is denoted by TG symbol.

How to calculate Ambient Air Temperature based on Wet Bulb Temperature using this online calculator? To use this online calculator for Ambient Air Temperature based on Wet Bulb Temperature, enter Wet Bulb Temperature (TW), Air Humidity at Wet Bulb Temperature (YW'), Ambient Air Humidity (YA), Mass Transfer Coefficient of the Moisture (kY'), Heat of Vaporization at Wet Bulb Temperature W) & Heat Transfer Coefficient of the Air Film (hG) and hit the calculate button. Here is how the Ambient Air Temperature based on Wet Bulb Temperature calculation can be explained with given input values -> -252.141554 = 294.15+(0.021-0.016)*((0.01*2250000)/13.32).

FAQ

What is Ambient Air Temperature based on Wet Bulb Temperature?
The Ambient Air Temperature based on Wet Bulb Temperature formula is defined as the temperature of the ambient air for a given wet bulb temperature and heat and mass transfer rates and is represented as TG = TW+(YW'-YA)*((kY'*λW)/hG) or 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). 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, Mass Transfer Coefficient of the Moisture is the proportionality factor between the mass transfer rate and the concentration 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 & Heat Transfer Coefficient of the Air Film is the proportionality factor between the heat transfer rate and the temperature driving force.
How to calculate Ambient Air Temperature based on Wet Bulb Temperature?
The Ambient Air Temperature based on Wet Bulb Temperature formula is defined as the temperature of the ambient air for a given wet bulb temperature and heat and mass transfer rates is calculated using 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). To calculate Ambient Air Temperature based on Wet Bulb Temperature, you need Wet Bulb Temperature (TW), Air Humidity at Wet Bulb Temperature (YW'), Ambient Air Humidity (YA), Mass Transfer Coefficient of the Moisture (kY'), Heat of Vaporization at Wet Bulb Temperature W) & Heat Transfer Coefficient of the Air Film (hG). With our tool, you need to enter the respective value for 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 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 Temperature of Air?
In this formula, Temperature of Air uses 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. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Temperature of Air = (Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)+Adiabatic Saturation Temperature
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