Dry Bulb Temperature Using Carrier's Equation Calculator

Carrier's Equation:

\[ t_{db} = \frac{(p_w - p_v) \times (1544 - 1.44 \times T_w)}{(p_t - p_w)} + T_w \]

Saturation Pressure Corresponding to WBT:

Pressure of Water Vapor:

Wet Bulb Temperature:

°C

Total Pressure of Moist Air:

Dry Bulb Temperature:

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1. What is Carrier's Equation?

Carrier's equation is used to calculate the dry bulb temperature of moist air using psychrometric properties. It relates dry bulb temperature to wet bulb temperature, saturation pressure, water vapor pressure, and total pressure of the air mixture.

2. How Does the Calculator Work?

The calculator uses Carrier's equation:

\[ t_{db} = \frac{(p_w - p_v) \times (1544 - 1.44 \times T_w)}{(p_t - p_w)} + T_w \]

Where:

\( t_{db} \) — Dry bulb temperature (°C)
\( p_w \) — Saturation pressure corresponding to WBT (Pa)
\( p_v \) — Pressure of water vapor (Pa)
\( T_w \) — Wet bulb temperature (°C)
\( p_t \) — Total pressure of moist air (Pa)

Explanation: The equation calculates the dry bulb temperature based on the psychrometric properties of moist air, accounting for the relationship between temperature, pressure, and humidity.

3. Importance of Dry Bulb Temperature Calculation

Details: Dry bulb temperature is a fundamental parameter in psychrometrics and HVAC systems. It's essential for air conditioning design, comfort analysis, and industrial processes involving air treatment.

4. Using the Calculator

Tips: Enter all pressure values in Pascals (Pa), temperatures in °C. Ensure that total pressure is greater than saturation pressure to avoid division by zero errors.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between dry bulb and wet bulb temperature?
A: Dry bulb temperature is the actual air temperature measured by a regular thermometer, while wet bulb temperature is measured by a thermometer with a wet wick and indicates the cooling effect of evaporation.

Q2: When is Carrier's equation typically used?
A: Carrier's equation is commonly used in HVAC engineering, meteorology, and industrial processes where precise psychrometric calculations are required.

Q3: What are typical values for the input parameters?
A: Saturation pressure typically ranges from 600-4000 Pa, water vapor pressure from 0-3000 Pa, wet bulb temperature from -10°C to 40°C, and total pressure around 101325 Pa at sea level.

Q4: Are there limitations to this equation?
A: The equation assumes ideal gas behavior and may have reduced accuracy at extreme temperatures or pressures. It's most accurate for typical atmospheric conditions.

Q5: How does this relate to relative humidity calculations?
A: Dry bulb temperature, along with other psychrometric properties, is used to calculate relative humidity and other moisture-related parameters in air.