HeatTransferRegime
plain-language theorem explainer
HeatTransferRegime enumerates the five canonical heat transfer modes in Recognition Science thermodynamics. Modelers of phi-ladder Nusselt scaling across conduction and convection would cite this enumeration when stating the configDim D=5 requirement. The declaration is an inductive type with five constructors that automatically derives decidability and finiteness instances.
Claim. The five heat transfer regimes are pure conduction, mixed convection, forced convection, natural convection, and radiative transfer.
background
The module Heat Transfer from Phi-Ladder treats the three heat transfer modes as having characteristic time constants that scale with each other, so that the heat flux efficiency ratio r follows the phi-ladder across modes. Five canonical regimes are introduced to match configDim D=5. The Recognition Science prediction is that adjacent-regime Nusselt numbers (dimensionless heat transfer coefficients) stand in the ratio phi squared, corresponding to two rungs per mode transition.
proof idea
The declaration is an inductive definition that introduces five constructors and derives the instances DecidableEq, Repr, BEq, and Fintype.
why it matters
The enumeration supplies the five_regimes field of HeatTransferCert and thereby anchors the phi squared Nusselt ratio asserted there. It realizes the configDim D=5 step in the thermodynamics tier of the forcing chain, consistent with the phi-ladder and the eight-tick octave. No open scaffolding is closed by this definition.
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