# 📐 L2 Spec — Natural Convection — buoyancy-driven flow heat transfer Mismatch-Only Spec
**ID:** `L2-198-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-198`](/artifact/l1/L1-198)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554037
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| H | px | 64 – 2048 |
| W | px | 64 – 2048 |
| Z | — | 32 – 1024 |
| Pr | — | 0.01 – 1000 |
| Ra | — | 1000.0 – 1000000000000.0 |
| Snr db | dB | 0 – 40 |
| Pr error | — | 0.0 – 0.1 |
| Ra error | — | 0.0 – 0.2 |
| Beta error | — | 0.0 – 0.1 |
| Wall t error | — | 0.0 – 2.0 |
## 2. Tolerance (ε)
**Type:** `fn`
```
14.0 + 0.3*SNR_dB - 15.0*Ra_error - 20.0*beta_error - 1.0*wall_T_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`1b9d12f0e8e95cd714c2fac6cf7a10d0f70f8e22c9a3c2ad994060ee86c30726`
## 5. On-chain Registration
- **Chain hash:** `0xc62ce72c7d554095e71948c6e1ed7281331877764724f1c0f532bea16ac6aa1b`
- **Chain tx hash:** `0xcf76477c3a139358943d3a116495121edbfb291bc67d63691d6fd07d63646cd5`
- **Chain block:** `41554037`
---
## File Mapping
This bundle consists of: `L2-198-001.md`, `L2-198-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-198-001.md` | Source of truth — edit this | Human or LLM |
| `L2-198-001.json` | Structured metadata for the registry | LLM regenerates from the sections above |
**Prompt for your LLM after editing this Markdown:**
> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.
_This Markdown was auto-synthesized from the catalog row for `L2-198-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._