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Real Body Radiation Calculator

Stefan-Boltzmann Law:

\[ P = \epsilon \sigma A T^4 \]

(dimensionless, 0-1)
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1. What is Real Body Radiation?

Real body radiation refers to the thermal radiation emitted by an object based on its temperature and surface properties. The Stefan-Boltzmann law describes the power radiated from a black body in terms of its temperature.

2. How Does the Calculator Work?

The calculator uses the Stefan-Boltzmann law:

\[ P = \epsilon \sigma A T^4 \]

Where:

Explanation: The equation shows that radiant power increases with the fourth power of absolute temperature, making temperature the most significant factor.

3. Importance of Radiant Power Calculation

Details: Calculating radiant power is essential in thermodynamics, heat transfer analysis, astronomy, and various engineering applications including thermal management and energy systems.

4. Using the Calculator

Tips: Enter emissivity (between 0 and 1), surface area in square meters, and temperature in Kelvin. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is emissivity?
A: Emissivity is a measure of how efficiently a surface emits thermal radiation compared to an ideal black body (which has ε=1).

Q2: What are typical emissivity values?
A: Polished metals: 0.02-0.3, oxidized metals: 0.6-0.9, most non-metals: 0.7-0.95, black body: 1.0.

Q3: Why is temperature in Kelvin?
A: The Stefan-Boltzmann law requires absolute temperature (Kelvin scale) because it's derived from thermodynamic principles.

Q4: How does surface area affect radiation?
A: Radiant power is directly proportional to surface area - doubling the area doubles the total radiation emitted.

Q5: What's the difference between black body and real body radiation?
A: A black body is an ideal emitter (ε=1), while real bodies have ε<1 and their emission spectrum may differ from the ideal Planck distribution.

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