# 📐  L2 Spec — Conjugate Heat Transfer — coupled fluid-solid thermal Mismatch-Only Spec

**ID:** `L2-201-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-201`](/artifact/l1/L1-201)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554038

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| Snr db | dB | 0 – 40 |
| N fluid | — | 500 – 1000000 |
| N solid | — | 500 – 500000 |
| Wall k error | — | 0.0 – 0.1 |
| Fluid kappa error | — | 0.0 – 0.1 |
| Interface h error | — | 0.0 – 0.3 |
| Contact resistance error | — | 0.0 – 0.5 |

## 2. Tolerance (ε)

**Type:** `fn`

```
15.0 + 0.25*SNR_dB - 15.0*interface_h_error - 30.0*wall_k_error - 5.0*contact_resistance_error
```

## 3. Difficulty

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

## 4. Fingerprint

`a6a9ca5f43e8db174b993f6640af69eff93b7cc567e9ca93c2a4324538b86643`

## 5. On-chain Registration

- **Chain hash:** `0x75eac1948184e23a15b1689028c3b262b3ed8c0452f72fc887805d99e3de04e7`
- **Chain tx hash:** `0x84c07dec22dd0fb73f48a96cde3fbed5460815f2cece323b86341cad1f2044e1`
- **Chain block:** `41554038`

---

## File Mapping

This bundle consists of: `L2-201-001.md`, `L2-201-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-201-001.md` | Source of truth — edit this | Human or LLM |
| `L2-201-001.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 `L2-201-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._