Wet Bulb Temperature Calculator

Wet Bulb Temperature Calculator

function calculateWetBulbTemperature() { var dryBulbTempInput = document.getElementById("dryBulbTemp"); var relativeHumidityInput = document.getElementById("relativeHumidity"); var resultDiv = document.getElementById("wetBulbResult"); var T = parseFloat(dryBulbTempInput.value); var RH = parseFloat(relativeHumidityInput.value); if (isNaN(T) || isNaN(RH)) { resultDiv.innerHTML = "Please enter valid numbers for both Dry Bulb Temperature and Relative Humidity."; return; } if (RH 100) { resultDiv.innerHTML = "Relative Humidity must be between 0 and 100%."; return; } // Stull (1984) empirical formula for Wet Bulb Temperature (Tw) in Celsius // T is Dry Bulb Temperature in Celsius // RH is Relative Humidity as a percentage (0-100) var Tw = T * Math.atan(0.151977 * Math.pow(RH + 8.313659, 0.5)) + Math.atan(T + RH) – Math.atan(RH – 1.676331) + 0.00391838 * Math.pow(RH, 1.5) * Math.atan(0.023101 * RH) – 4.686035; var TwFahrenheit = (Tw * 9/5) + 32; resultDiv.innerHTML = "

Calculated Wet Bulb Temperature:

" + "" + Tw.toFixed(2) + " °C" + "" + TwFahrenheit.toFixed(2) + " °F"; } .calculator-container { background-color: #f9f9f9; border: 1px solid #ddd; padding: 20px; border-radius: 8px; max-width: 500px; margin: 20px auto; font-family: Arial, sans-serif; } .calculator-container h2 { text-align: center; color: #333; margin-bottom: 20px; } .calculator-inputs label { display: block; margin-bottom: 8px; color: #555; } .calculator-inputs input[type="number"] { width: calc(100% – 22px); padding: 10px; margin-bottom: 15px; border: 1px solid #ccc; border-radius: 4px; box-sizing: border-box; } .calculator-inputs button { width: 100%; padding: 12px; background-color: #007bff; color: white; border: none; border-radius: 4px; font-size: 16px; cursor: pointer; transition: background-color 0.3s ease; } .calculator-inputs button:hover { background-color: #0056b3; } .calculator-result { margin-top: 20px; padding: 15px; background-color: #e9f7ef; border: 1px solid #d4edda; border-radius: 4px; text-align: center; color: #155724; } .calculator-result h3 { color: #155724; margin-top: 0; } .calculator-result p { margin: 5px 0; font-size: 1.1em; }

Understanding Wet Bulb Temperature: A Critical Metric for Heat Stress

The Wet Bulb Temperature (WBT) is a crucial meteorological parameter that provides a more accurate measure of how hot it "feels" to the human body than the standard dry bulb temperature (what a regular thermometer reads). It's the lowest temperature to which air can be cooled by the evaporation of water into the air at a constant pressure. Essentially, it reflects the combined effect of air temperature, humidity, and wind speed on the human body's ability to cool itself through sweating.

Why is Wet Bulb Temperature Important?

Unlike dry bulb temperature, which only measures the heat in the air, WBT considers humidity. When humidity is high, sweat evaporates less efficiently from the skin, making it harder for the body to cool down. If the WBT reaches a certain threshold (around 35°C or 95°F), the human body can no longer cool itself through sweating, leading to potentially fatal heatstroke, even for healthy individuals at rest. This makes WBT an invaluable indicator for:

  • Heat Stress Assessment: It's widely used in occupational safety, sports, and military operations to determine safe working or activity limits in hot and humid conditions.
  • Climate Change Studies: Rising WBTs are a significant concern as global warming progresses, indicating areas where conditions could become uninhabitable for humans.
  • Agriculture: High WBT can impact livestock health and crop yields.
  • Industrial Applications: Certain processes require specific humidity and temperature controls, where WBT can be a key metric.

How is Wet Bulb Temperature Measured?

Traditionally, WBT is measured using a "wet-bulb thermometer," which is a standard mercury or alcohol thermometer with its bulb wrapped in a wet cloth (usually muslin) and exposed to a continuous airflow. As water evaporates from the cloth, it cools the bulb, and the thermometer registers the wet bulb temperature. The rate of evaporation, and thus the cooling effect, depends on the humidity of the surrounding air.

However, direct measurement isn't always practical. This calculator uses an empirical formula to approximate the wet bulb temperature based on two readily available parameters: Dry Bulb Temperature and Relative Humidity.

Inputs for the Calculator:

  • Dry Bulb Temperature (°C): This is the standard air temperature measured by a regular thermometer, unaffected by moisture. It's the most common temperature reading you encounter in weather reports.
  • Relative Humidity (%): This indicates the amount of moisture in the air relative to the maximum amount of moisture the air can hold at that specific temperature. A higher percentage means more moisture in the air.

Understanding the Output:

The calculator provides the Wet Bulb Temperature in both Celsius (°C) and Fahrenheit (°F). A higher wet bulb temperature indicates a greater risk of heat stress. For instance:

  • Example 1: Moderate Heat, Low Humidity
    Dry Bulb Temperature: 30 °C (86 °F)
    Relative Humidity: 30%
    Calculated Wet Bulb Temperature: Approximately 20.5 °C (68.9 °F)
    In this scenario, the low humidity allows for efficient evaporative cooling, so the wet bulb temperature is significantly lower than the dry bulb, indicating less heat stress.
  • Example 2: Moderate Heat, High Humidity
    Dry Bulb Temperature: 30 °C (86 °F)
    Relative Humidity: 80%
    Calculated Wet Bulb Temperature: Approximately 27.5 °C (81.5 °F)
    Here, the high humidity limits evaporative cooling, making the wet bulb temperature much closer to the dry bulb temperature, signifying a higher risk of heat stress despite the same air temperature.
  • Example 3: Extreme Heat, High Humidity (Dangerous Conditions)
    Dry Bulb Temperature: 38 °C (100.4 °F)
    Relative Humidity: 70%
    Calculated Wet Bulb Temperature: Approximately 33.5 °C (92.3 °F)
    This combination approaches the critical threshold where sustained human activity becomes extremely dangerous, as the body struggles to dissipate heat.

By understanding and utilizing the Wet Bulb Temperature, individuals and organizations can make informed decisions to protect health and ensure safety in hot and humid environments.

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