MathLiveHeat equation
Describes how temperature spreads through a region over time by conduction. It is used to model heat flow and, in general form, any diffusion process.
\frac{\partial u}{\partial t} = \alpha \nabla^2 uWhat the symbols mean
| temperature field u(x,t) (K) | |
| time (s) | |
| thermal diffusivity (m^2/s) | |
| Laplace operator with respect to spatial coordinates |
About this formula
- FieldPhysics
- TopicPartial differential equations
- LevelUniversity
- Also calleddiffusion equation, heat conduction equation, fourier heat equation, temperature diffusion pde, parabolic pde heat flow, heat diffusion equation
- SourceWikidata Q6510488
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