Radiation Calculator Back EN · ZH
Thermal Radiation

Stefan-Boltzmann Radiation Calculator

Compute blackbody and real-surface radiative heat transfer in real time. Visualize the Planck spectrum, total emissive power, and peak wavelength via Wien's displacement law.

Parameters
Material Presets
Surface Temperature T 1000 K
100 – 6000 K
Emissivity ε 1.00
Area A 1.00 m²
Calculation Mode
Emittance E [W/m²]
Total Power Q [W]
Peak λ_max [μm]
Net Exchange Q_net [W]
Spectral Radiance (Planck Curve)
Total Emissive Power vs Temperature (log scale)

Theory

Stefan-Boltzmann law:

$$E = \varepsilon\sigma T^4, \quad \sigma = 5.67\times10^{-8}\ \text{W/(m}^2\cdot\text{K}^4\text{)}$$

Wien's displacement law (peak wavelength):

$$\lambda_{max} = \frac{2898}{T}\ \mu\text{m}$$

Net radiative exchange (small surface in large enclosure):

$$Q_{net} = \varepsilon\sigma A(T^4 - T_{env}^4)$$

Planck's law (spectral radiance):

$$B_\lambda = \frac{2hc^2}{\lambda^5}\frac{1}{e^{hc/(\lambda k_B T)}-1}$$
CAE Applications: Radiation boundary conditions in Abaqus/Ansys thermal solvers · High-temperature component design (exhaust systems, furnace walls, solar panels) · Infrared sensor and thermography calibration.