Radiation Coefficient Calculator

Formula

To calculate the radiation coefficient (\(R\)):

\[ R = \epsilon \cdot \sigma \cdot T^4 \]

Where:

\(R\) is the radiation coefficient
\(\epsilon\) is the emissivity
\(\sigma\) is the Stefan-Boltzmann constant (approximately \(5.67 \times 10^{-8} \, \text{W/m}^2\text{K}^4\))
\(T\) is the temperature in Kelvin

What is a Radiation Coefficient?

The radiation coefficient is a measure of the rate at which an object emits thermal radiation. It is influenced by the object’s emissivity, the Stefan-Boltzmann constant, and its absolute temperature. The radiation coefficient is crucial in understanding heat transfer processes, especially in applications involving thermal radiation, such as in the design of radiative cooling systems, thermal insulation, and various engineering applications.

Example Calculation 1

Let's assume the following values:

Emissivity (\(\epsilon\)) = 0.85
Temperature (\(T\)) = 300 K

Using the formula:

\[ R = 0.85 \cdot 5.67 \times 10^{-8} \cdot 300^4 = 390.379500 \text{ W/m}^2\text{K}^4 \]

The radiation coefficient is 390.379500 W/m²K⁴.

Example Calculation 2

Let's assume the following values:

Emissivity (\(\epsilon\)) = 0.9
Temperature (\(T\)) = 350 K

Using the formula:

\[ R = 0.9 \cdot 5.67 \times 10^{-8} \cdot 350^4 = 765.768938 \text{ W/m}^2\text{K}^4 \]

The radiation coefficient is 765.768938 W/m²K⁴.