physics-equationPreview
Thermal dynamics equation
Governing equation `Thermal dynamics equation` declared by physics interface `Thermal Dynamics`.
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>rho</mi><msub><mi>C</mi><mi>p</mi></msub><mfrac><mrow><mo>d</mo><mi>T</mi></mrow><mrow><mo>d</mo><mi>t</mi></mrow></mfrac><mo>-</mo><mi>div</mi><mo>(</mo><mi>k</mi><mi>grad</mi><mo>(</mo><mi>T</mi><mo>)</mo><mo>)</mo><mo>=</mo><mi>Q</mi></mrow></math> | — |
| name | Thermal dynamics equation | — |
| section | governing-equation | — |
Governing equation Thermal dynamics equation declared by physics interface Thermal Dynamics.
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>rho</mi><msub><mi>C</mi><mi>p</mi></msub><mfrac><mrow><mo>d</mo><mi>T</mi></mrow><mrow><mo>d</mo><mi>t</mi></mrow></mfrac><mo>-</mo><mi>div</mi><mo>(</mo><mi>k</mi><mi>grad</mi><mo>(</mo><mi>T</mi><mo>)</mo><mo>)</mo><mo>=</mo><mi>Q</mi></mrow></math> |
| name | Thermal dynamics equation |
| section | governing-equation |