Natural Convection — buoyancy-driven flow heat transfer L1-198

Heat TransferRayleigh-Benard / cavity free convectionδ=5 · challengingL_DAG = 3.5📋 Stub — not mineable

📋

Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

Read the contribution guide →Open a claim issue →

Forward model E

N u = f (R a, P r); R a = g \cdot b e t a \cdot (T h - T c) \cdot L^{3} / (n u \cdot a l p ha); co u pl e d B o u ss in es q w i t hb u oy an cy t er m

Natural Convection — buoyancy-driven flow heat transfer forward model.

L-DAG

L.boussinesq -> L.buoyancy -> L.heat_transport -> int.temporal

L.boussinesqL.buoyancyL.heat_transportint.temporal

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 1000

Unstable above Ra > 10^8 (turbulent); chaotic sensitivity to IC.

Solvability C

Solver class:: Churchill-Chu, CFD-LES, DeepFlow-NC
Convergence rate q:: 1.5
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.