physics-equationAvailable
Heat equation
Governing equation `Heat equation` declared by physics interface `Heat Transfer`.
Reference contract
| Field | Value | Description |
|---|---|---|
| differentiability | exact-ad | — |
| entity_dimension | domain | — |
| latex | \rho C_p\frac{\partial T}{\partial t}-\nabla\!\cdot\!\left(k\nabla T\right)=Q | — |
| mathml | <math display="block"><mrow><mi>ρ</mi><msub><mi>C</mi><mi>p</mi></msub><mfrac><mrow><mo>∂</mo><mi>T</mi></mrow><mrow><mo>∂</mo><mi>t</mi></mrow></mfrac><mo>−</mo><mo>∇</mo><mo>·</mo><mo>(</mo><mi>k</mi><mo>∇</mo><mi>T</mi><mo>)</mo><mo>=</mo><mi>Q</mi></mrow></math> | — |
| name | Heat equation | — |
| section | governing-equation | — |
Governing equation Heat equation declared by physics interface Heat Transfer.
Contract
| Property | Value |
|---|---|
| differentiability | exact-ad |
| entity_dimension | domain |
| latex | \rho C_p\frac{\partial T}{\partial t}-\nabla\!\cdot\!\left(k\nabla T\right)=Q |
| mathml | <math display="block"><mrow><mi>ρ</mi><msub><mi>C</mi><mi>p</mi></msub><mfrac><mrow><mo>∂</mo><mi>T</mi></mrow><mrow><mo>∂</mo><mi>t</mi></mrow></mfrac><mo>−</mo><mo>∇</mo><mo>·</mo><mo>(</mo><mi>k</mi><mo>∇</mo><mi>T</mi><mo>)</mo><mo>=</mo><mi>Q</mi></mrow></math> |
| name | Heat equation |
| section | governing-equation |