L1 ⚛ L1-197 ⊙ Testnet

Forced Convection — conjugate heat transfer inversion

Heat Transfer · Convective heat transfer coefficient estimation

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⬇ L1-197.md

# ⚛ L1 Principle — Forced Convection — conjugate heat transfer inversion **ID:** `L1-197` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Heat Transfer — *Convective heat transfer coefficient estimation* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** 2D heat transfer coeff > **📡 Carrier:** thermal · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554033 --- ## 🧠 1. Introduction **Forced Convection — conjugate heat transfer inversion** is a **nonlinear inverse problem** whose unknown lives in **2D heat transfer coeff** space, within the **Convective heat transfer coefficient estimation** sub-domain of **Heat Transfer**. Measurements consist of thermal radiation / temperature measurements via a **ir camera thermocouples** sensing mechanism. The forward operator applies, in order: L · nav stokes flow operator; L · heat transport operator; L · convect coupling operator; detector accumulates flux over the exposure window. Observations are corrupted by additive Gaussian noise. Coupled Navier-Stokes + energy; well-posed for moderate Re, unstable at high Re. ## ⚙ 2. Forward Model Physical chain: **x** → L · nav stokes flow → L · heat transport → L · convect coupling → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.convect_coupling` `L.heat_transport` `L.nav_stokes_flow` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.nav_stokes_flow` | L · nav stokes flow operator | | `L.heat_transport` | L · heat transport operator | | `L.convect_coupling` | L · convect coupling operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Heat Transfer | | Sub domain | Convective heat transfer coefficient estimation | | Carrier | thermal | | Problem class | nonlinear_inverse | | Solution space | 2D_heat_transfer_coeff | | Noise model | gaussian | | Integration axis | temporal | | Difficulty delta | 5 | | L dag | 3.5 | ## 📡 4. Measurement Model Coupled Navier-Stokes + energy; well-posed for moderate Re, unstable at high Re. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `forced_convection` · **Forward operator:** `forced_convection_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 256 | | W | px | 256 | | Pr | — | 0.7 | | Re | — | 50000 | | Snr db | dB | 30 | | Pr error | — | 0 | | Re error | — | 0 | | Freestream t error | — | 0 | | Wall emissivity error | — | 0 | **Allowed bounds:** | 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 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 22.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `800` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x16e3321c0919590cd09ecd3e869b8ce2975ee9a06be25d6b4ffc5124ddafbf07` - **Chain tx hash:** `0x3232cfade9a31082b8966b879ad7ee6a35b8993da9b3907f2e23ee7a78b97d2f` - **Chain block:** `41554033` --- ## File Mapping This bundle consists of: `L1-197.md`, `L1-197.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-197.md` | Source of truth — edit this | Human or LLM | | `L1-197.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 `L1-197`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-197.md).
Regenerate L1-197.json so every field matches the Markdown.
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L2-197-001 Forced Convection — conjugate heat transfer inversion Mismatch-Only Spec

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📋 JSON metadata

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  "domain": "Heat Transfer",
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    "carrier": "thermal",
    "difficulty_delta": 5,
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    "integration_axis": "temporal",
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    "sensing_mechanism": "ir_camera_thermocouples",
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    "sub_domain": "Convective heat transfer coefficient estimation",
    "title": "Forced Convection \u2014 conjugate heat transfer inversion"
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      "Pr": [
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      "Re": [
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      "Re_error": [
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  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Convective heat transfer coefficient estimation",
  "title": "Forced Convection \u2014 conjugate heat transfer inversion"
}

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