# 📐  L2 Spec — Forced Convection — conjugate heat transfer inversion Mismatch-Only Spec

**ID:** `L2-197-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-197`](/artifact/l1/L1-197)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554036

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 64 – 2048 |
| W | px | 64 – 2048 |
| Pr | — | 0.01 – 1000 |
| Re | — | 100 – 10000000 |
| Snr db | dB | 0 – 40 |
| Pr error | — | 0.0 – 0.1 |
| Re error | — | 0.0 – 0.1 |
| Freestream t error | — | 0.0 – 5.0 |
| Wall emissivity error | — | 0.0 – 0.3 |

## 2. Tolerance (ε)

**Type:** `fn`

```
15.0 + 0.3*SNR_dB - 20.0*Re_error - 15.0*wall_emissivity_error - 0.3*freestream_T_error
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |

## 4. Fingerprint

`18f950815248fd638cc1eec55ad0a671380fc7aa07fdf5be33228d04c531e00e`

## 5. On-chain Registration

- **Chain hash:** `0xb5bf5afa5aa6f4d68ab2795d783184570769f1c22bf923d41f8461c53fb63191`
- **Chain tx hash:** `0xa916c07bae1de56a6998cba3e01c42a8062b0763373eb9a2c67c3f862da3b472`
- **Chain block:** `41554036`

---

## File Mapping

This bundle consists of: `L2-197-001.md`, `L2-197-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-197-001.md` | Source of truth — edit this | Human or LLM |
| `L2-197-001.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 `L2-197-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._