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Air Inlet Temperature based on Adiabatic Saturation Temperature Formula

GoAmbient Air Temperature based on Wet Bulb Temperature Formula

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The Temperature of Air is defined as the temperature at which the air-water mixture properties in humidification are calculated. Check FAQs

T G = (Y S' - Y') \cdot (\frac{λ S}{C s}) + T S

T_G - Temperature of Air?Y_S' - Saturated Exit Air Humidity?Y' - Inlet Air Humidity?λ_S - Heat of Vaporization at Adiabatic Saturation Temp?C_s - Humid Heat?T_S - Adiabatic Saturation Temperature?

Air Inlet Temperature based on Adiabatic Saturation Temperature Example

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Here is how the Air Inlet Temperature based on Adiabatic Saturation Temperature equation looks like with Values.

Here is how the Air Inlet Temperature based on Adiabatic Saturation Temperature equation looks like with Units.

Here is how the Air Inlet Temperature based on Adiabatic Saturation Temperature equation looks like.

24.8571 = (0.0172 - 0.015) \cdot (\frac{2250}{2.1}) + 22.5

24.8571°C = (0.0172kg/kg of air - 0.015kg/kg of air) \cdot (\frac{2250kJ/kg}{2.1kJ/kg*K}) + 22.5°C

24.8571 = (0.0172 - 0.015) \cdot (\frac{2250}{2.1}) + 22.5

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Air Inlet Temperature based on Adiabatic Saturation Temperature Solution

Follow our step by step solution on how to calculate Air Inlet Temperature based on Adiabatic Saturation Temperature?

FIRST Step Consider the formula

T G = (Y S' - Y') \cdot (\frac{λ S}{C s}) + T S

Next Step Substitute values of Variables

∴

T G = (0.0172kg/kg of air - 0.015kg/kg of air) \cdot (\frac{2250kJ/kg}{2.1kJ/kg*K}) + 22.5°C

Next Step Convert Units

∴

T G = (0.0172kg/kg of air - 0.015kg/kg of air) \cdot (\frac{2.3E+6J/kg}{2100J/(kg*K)}) + 295.65K

Next Step Prepare to Evaluate

∴

T G = (0.0172 - 0.015) \cdot (\frac{2.3E+6}{2100}) + 295.65

Next Step Evaluate

∴

T G = 298.007142857143K

Next Step Convert to Output's Unit

∴

T G = 24.8571428571428°C

LAST Step Rounding Answer

∴

T G = 24.8571°C

Air Inlet Temperature based on Adiabatic Saturation Temperature Formula Elements

Variables

Temperature of Air

The Temperature of Air is defined as the temperature at which the air-water mixture properties in humidification are calculated.

Symbol: T_G

Measurement: TemperatureUnit: °C

Note: Value should be greater than -273.15.

Formulas to find Temperature of Air

Saturated Exit Air Humidity

Saturated exit air humidity is the level of water vapor in air that has reached its saturation point, often expressed as the maximum amount of moisture the air can hold at a specific temperature.

Symbol: Y_S'

Measurement: Specific HumidityUnit: kg/kg of air

Note: Value should be greater than -1E-08.

Formulas to find Saturated Exit Air Humidity

Inlet Air Humidity

Inlet Air Humidity refers to the actual amount of water vapor present in a unit volume of incoming air.

Symbol: Y'

Measurement: Specific HumidityUnit: kg/kg of air

Note: Value should be greater than -1E-08.

Formulas to find Inlet Air Humidity

Heat of Vaporization at Adiabatic Saturation Temp

The heat of vaporization at adiabatic saturation temperature is the energy required per unit mass to convert liquid water into vapor during an adiabatic process.

Symbol: λ_S

Measurement: Latent HeatUnit: kJ/kg

Note: Value should be greater than 0.

Formulas to find Heat of Vaporization at Adiabatic Saturation Temp

Humid Heat

Humid Heat -The Heat capacity of 1Kg dry gas/air and whatever vapour/moisture contained in it. The heat capacity of humid air, expressed per unit mass of dry air in the mixture.

Symbol: C_s

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value should be greater than 0.

Formulas to find Humid Heat

Adiabatic Saturation Temperature

Adiabatic saturation temperature is the temperature achieved when moist air undergoes an adiabatic process while being saturated with water vapor.

Symbol: T_S

Measurement: TemperatureUnit: °C

Note: Value should be greater than -273.15.

Formulas to find Adiabatic Saturation Temperature

Other Formulas to find Temperature of Air

Go Ambient Air Temperature based on Wet Bulb Temperature

T G = T W + (Y W' - Y A) \cdot (\frac{k Y' \cdot λ W}{h G})

Other formulas in Adiabatic Saturation Temperature and Wet Bulb Temperature category

Go Adiabatic Saturation Temperature

T S = T G - (Y S' - Y') \cdot (\frac{λ S}{C s})

Go Humid Heat of Air based on Adiabatic Saturation Temperature

C s = \frac{Y S' - Y'}{T G - T S} \cdot λ S

Go Latent Heat of Air based on Adiabatic Saturation Temperature

λ S = \frac{T G - T S}{Y S' - Y'} \cdot C s

Go Saturated Exit Air Humidity based on Adiabatic Saturation Temperature

Y S' = (T G - T S) \cdot (\frac{C s}{λ S}) + Y'

How to Evaluate Air Inlet Temperature based on Adiabatic Saturation Temperature?

Air Inlet Temperature based on Adiabatic Saturation Temperature evaluator uses Temperature of Air = (Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)+Adiabatic Saturation Temperature to evaluate the Temperature of Air, The Air Inlet Temperature based on Adiabatic Saturation Temperature formula is defined as the temperature of the Inlet air to a humidification device calculated based on the exit condition of adiabatic saturation. Temperature of Air is denoted by T_G symbol.

How to evaluate Air Inlet Temperature based on Adiabatic Saturation Temperature using this online evaluator? To use this online evaluator for Air Inlet Temperature based on Adiabatic Saturation Temperature, enter Saturated Exit Air Humidity (Y_S'), Inlet Air Humidity (Y'), Heat of Vaporization at Adiabatic Saturation Temp (λ_S), Humid Heat (C_s) & Adiabatic Saturation Temperature (T_S) and hit the calculate button.

FAQs on Air Inlet Temperature based on Adiabatic Saturation Temperature

What is the formula to find Air Inlet Temperature based on Adiabatic Saturation Temperature?

The formula of Air Inlet Temperature based on Adiabatic Saturation Temperature is expressed as Temperature of Air = (Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)+Adiabatic Saturation Temperature. Here is an example- -521.442857 = (0.0172-0.015)*(2250000/2100)+22.5.

How to calculate Air Inlet Temperature based on Adiabatic Saturation Temperature?

With Saturated Exit Air Humidity (Y_S'), Inlet Air Humidity (Y'), Heat of Vaporization at Adiabatic Saturation Temp (λ_S), Humid Heat (C_s) & Adiabatic Saturation Temperature (T_S) we can find Air Inlet Temperature based on Adiabatic Saturation Temperature using the formula - Temperature of Air = (Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)+Adiabatic Saturation Temperature.

What are the other ways to Calculate Temperature of Air?

Here are the different ways to Calculate Temperature of Air-

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)

Can the Air Inlet Temperature based on Adiabatic Saturation Temperature be negative?

Yes, the Air Inlet Temperature based on Adiabatic Saturation Temperature, measured in Temperature can be negative.

Which unit is used to measure Air Inlet Temperature based on Adiabatic Saturation Temperature?

Air Inlet Temperature based on Adiabatic Saturation Temperature is usually measured using the Celsius[°C] for Temperature. Kelvin[°C], Fahrenheit[°C], Rankine[°C] are the few other units in which Air Inlet Temperature based on Adiabatic Saturation Temperature can be measured.

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