feature-kindPreview
Thermal Dynamics
rho*Cp*dT/dt - div(k*grad(T)) = Q
Reference contract
| Field | Value | Description |
|---|---|---|
| area | Heat Transfer | — |
| boundaryFeatures | [{"assemblyRole":"essential","displayName":"Temperature","entityDimensions":["boundary"],"fields":[{"default":"293.15[K]","name":"value","required":true,"unit":"K","valueType":"expression"}],"kind":"Temperature","multiple":true,"parentCategory":"physics","role":"exclusive","targetField":"T"},{"assemblyRole":"flux","displayName":"Heat Flux","entityDimensions":["boundary"],"fields":[{"default":"0[W/m^2]","name":"value","required":true,"unit":"W/m^2","valueType":"expression"}],"kind":"Heat Flux","multiple":true,"parentCategory":"physics","role":"contributing","targetField":"T"}] | — |
| childCategories | ["physics.domain","physics.boundary"] | — |
| defaultMaterial | null | — |
| displayName | Thermal Dynamics | — |
| domainFeatures | [{"assemblyRole":"volume-source","displayName":"Heat Source","entityDimensions":["domain"],"fields":[{"default":"0[W/m^3]","name":"value","required":true,"unit":"W/m^3","valueType":"expression"}],"kind":"Heat Source","multiple":true,"parentCategory":"physics","required":false,"targetField":"T"}] | — |
| kind | Thermal Dynamics | — |
| materialSchema | [{"default":"1[W/(m*K)]","name":"thermalConductivity","rank":"scalar","required":true,"unit":"W/(m*K)"},{"default":"1[kg/m^3]","name":"density","rank":"scalar","required":true,"unit":"kg/m^3"},{"default":"1[J/(kg*K)]","name":"heatCapacity","rank":"scalar","required":true,"unit":"J/(kg*K)"}] | — |
| publishedFields | [{"components":1,"displayName":"Temperature","expression":"td.T","name":"td.T","plottable":true,"rank":"scalar","studies":["stationary","transient","sensitivity","optimization"],"unit":"K"},{"components":1,"displayName":"Thermal energy functional","expression":"energy","name":"td.energy","plottable":true,"rank":"scalar","studies":["stationary","sensitivity","optimization"],"unit":"J"},{"components":1,"displayName":"Thermal compliance","expression":"2*energy","name":"td.compliance","plottable":true,"rank":"scalar","studies":["stationary","sensitivity","optimization"],"unit":"J"}] | — |
| status | development | — |
| studies | ["Stationary","Transient","Sensitivity","Optimization"] | — |
| studyCapabilities | [{"certified":false,"differentiability":"exact-ad","kind":"stationary","reason":"Thermal Dynamics stationary is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"transient","reason":"Thermal Dynamics transient is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Thermal Dynamics sensitivity is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"Thermal Dynamics optimization is outside the September 2026 classroom support matrix."}] | — |
| tag | td | — |
| visible | false | — |
rhoCpdT/dt - div(k*grad(T)) = Q
Contract
| Property | Value |
|---|---|
| area | Heat Transfer |
| boundaryFeatures | [{"assemblyRole":"essential","displayName":"Temperature","entityDimensions":["boundary"],"fields":[{"default":"293.15[K]","name":"value","required":true,"unit":"K","valueType":"expression"}],"kind":"Temperature","multiple":true,"parentCategory":"physics","role":"exclusive","targetField":"T"},{"assemblyRole":"flux","displayName":"Heat Flux","entityDimensions":["boundary"],"fields":[{"default":"0[W/m^2]","name":"value","required":true,"unit":"W/m^2","valueType":"expression"}],"kind":"Heat Flux"... |
| childCategories | ["physics.domain","physics.boundary"] |
| defaultMaterial | null |
| displayName | Thermal Dynamics |
| domainFeatures | [{"assemblyRole":"volume-source","displayName":"Heat Source","entityDimensions":["domain"],"fields":[{"default":"0[W/m^3]","name":"value","required":true,"unit":"W/m^3","valueType":"expression"}],"kind":"Heat Source","multiple":true,"parentCategory":"physics","required":false,"targetField":"T"}] |
| kind | Thermal Dynamics |
| materialSchema | [{"default":"1[W/(m*K)]","name":"thermalConductivity","rank":"scalar","required":true,"unit":"W/(m*K)"},{"default":"1[kg/m^3]","name":"density","rank":"scalar","required":true,"unit":"kg/m^3"},{"default":"1[J/(kg*K)]","name":"heatCapacity","rank":"scalar","required":true,"unit":"J/(kg*K)"}] |
| publishedFields | [{"components":1,"displayName":"Temperature","expression":"td.T","name":"td.T","plottable":true,"rank":"scalar","studies":["stationary","transient","sensitivity","optimization"],"unit":"K"},{"components":1,"displayName":"Thermal energy functional","expression":"energy","name":"td.energy","plottable":true,"rank":"scalar","studies":["stationary","sensitivity","optimization"],"unit":"J"},{"components":1,"displayName":"Thermal compliance","expression":"2*energy","name":"td.compliance","plottable"... |
| status | development |
| studies | ["Stationary","Transient","Sensitivity","Optimization"] |
| studyCapabilities | [{"certified":false,"differentiability":"exact-ad","kind":"stationary","reason":"Thermal Dynamics stationary is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"transient","reason":"Thermal Dynamics transient is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Thermal Dynamics sensitivity is outside the September 2026 classroom support matrix."... |
| tag | td |
| visible | false |