# 📐  L2 Spec — Hydrodynamic Lubrication (Reynolds Equation) — Nominal + Mismatch Specs

**ID:** `L2-457-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-457`](/artifact/l1/L1-457)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.25 · **Delta tier:** 5
> **⛓ On-chain block:** 41555282

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N grid x | — | 10 – 200 |
| Speed rpm | — | 100 – 100000 |
| Viscosity pa s | s | 0.001 – 1.0 |
| Eccentricity ratio e | — | 0.0 – 0.9 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.3 + 0.2 * (eccentricity_ratio_e / 0.5) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.25 |
| Delta tier | 5 |

## 4. Fingerprint

`de0d9a6310f3a13e6f3dae4fa6392c2fdf281b91fe2a6a7edf34b835f06b18fd`

## 5. On-chain Registration

- **Chain hash:** `0xbc0e14bc2393f207609169761aad6e28de196c6270468588996930744f9c8e43`
- **Chain tx hash:** `0x4abe0feb5105524f69596846714715dd4e06a6afb520974b5efd23bd73c6f488`
- **Chain block:** `41555282`

---

## File Mapping

This bundle consists of: `L2-457-001.md`, `L2-457-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-457-001.md` | Source of truth — edit this | Human or LLM |
| `L2-457-001.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 `L2-457-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._