What this model teaches
Supply 16 W to an insulated 800 J/K thermal capacity, initially 295 K.
A thermal balance with zero heat loss drives an integrator. dT/dt = 16/800 = 0.02 K/s, so T(200 s) = 299 K.
Hypothetical lumped thermal network. Temperatures are absolute kelvin, heat rates watts and thermal capacity joules per kelvin. No real material is characterized. The inputs are authored synthetic teaching choices. No measured cell, material dataset or external software trace is reproduced. Passing verifies these numerical implementations against analytical equations; it does not establish hardware accuracy, safety or parity with another product. Maximum-error gates are fixed before execution. RMSE weights accepted solver samples equally; it is not a uniform-time integral. Thermal resistance, capacity and convection coefficient are prescribed positive constants; spatial temperature fields and temperature-dependent properties are outside this case.
Open and run
Open prepared examples and select Synthetic insulated thermal mass. Choose Run prepared model for a fresh native solve. The public viewer is read-only; the displayed Pro editor is a separate product and may require a separately saved model. Download the complete model and retained run to inspect the exact graph and outputs.
This original graph has 4 blocks, 4 connections and 2 compared signals. It carries reference version 2.
Prescribed inputs
| Input | Value | Unit |
|---|---|---|
| Thermal capacity | 800 | J/K |
| Heat input | 16 | W |
| Initial temperature | 295 | K |
Blocks and parameters
| Block ID | Type | Parameters |
|---|---|---|
ambient-temperature | constant | value=295 |
imposed-heat | constant | value=16 |
rod-temperature | integrator | gain=1; initial=295; rateQuantity=temperature-rate |
temperature-rate | thermal-rate | conductanceWPerK=0; heatCapacityJPerK=800 |
The runtime connections in the downloaded model are authoritative. A gain changes the mathematical coefficient only when it is wired to the stated signal.
Original numerical plot
This is an original plot generated from the retained native trace, not a screenshot and not a downloaded external waveform. The overlaid reference is evaluated independently at each accepted solver time.
Recorded numerical checks
A fresh run on 2026-10-28T17:13:51.851Z retained 45 output points. The execution report includes every native point, analytical comparison and source fingerprint.
| Signal | Maximum absolute error | Fixed gate | Points |
|---|---|---|---|
| Lumped temperature | 8.526512829121202e-13 | 1e-7 | 45 |
| Heating rate | 0 | 1e-7 | 45 |
Errors and gates use each signal's stated unit. The check requires the complete 0–200 s interval, every accepted output point, finite values, correct block quantities, current reference binding and exact solver settings. It rejects missing current-switch instants for the pulse model.
Try an edit carefully
Changing a prescribed input creates a different mathematical experiment. The original comparison should then fail; do not enlarge its gate to accept changed equations. Create a separately justified contract and oracle for a new experiment.
Equations and provenance
Read the original input contract, how to interpret comparisons and model workflow. These numbers are hypothetical choices. Passing establishes numerical agreement for these equations only. No measured accuracy, safety or external-software parity is claimed.