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THE FEUTEX TOOLKIT

Thermal Diffusion Timescale

Estimate diffusivity, conduction timescale and Fourier number.

Thermal workspace● Runs in your browser
01 Your input
02 Your result
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Formulaα=k/(ρcp); td=L²/α; Fo=αt/L².
Sources and model references

Worked example

Inputs

Conductivity
50 W/(m·K)
Density
7800 kg/m³
Specific heat
500 J/(kg·K)
Characteristic diffusion length
0.01 m
Elapsed time
10 s

Expected results

Thermal diffusivity
1.282051282e-05 m²/s
Characteristic diffusion time
7.8 s
Fourier number
1.282051282

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter every input in the labeled units; use measured or independently specified properties.
  2. Check the stated model assumptions before calculating.
  3. Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "k": 50,
  "rho": 7800,
  "cp": 500,
  "length": 0.01,
  "time": 10
}

Accuracy and scope

Characteristic scaling only; it does not calculate a transient temperature field or a guaranteed equilibration time. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.