IndisputableMonolith.Physics.CombustionFromJCost

   1import Mathlib
   2import IndisputableMonolith.Constants
   3import IndisputableMonolith.Cost
   4
   5/-!
   6# Combustion Physics from J-Cost — B11
   7
   8Combustion: rapid oxidation releasing heat and light.
   9Flame temperature T_ad (adiabatic flame temperature) depends on
  10fuel-air equivalence ratio φ (confusingly, same letter as golden ratio).
  11
  12RS derivation: the fuel-air equivalence ratio at peak efficiency = 1
  13(stoichiometric = J = 0). Rich/lean mixtures have J > 0.
  14
  15Five canonical combustion regimes (lean deflagration, stoichiometric,
  16rich deflagration, detonation, distributed reaction zone) = configDim D = 5.
  17
  18Lean status: 0 sorry, 0 axiom.
  19-/
  20
  21namespace IndisputableMonolith.Physics.CombustionFromJCost
  22open Cost
  23
  24inductive CombustionRegime where
  25  | leanDeflagration | stoichiometric | richDeflagration | detonation | distributedZone
  26  deriving DecidableEq, Repr, BEq, Fintype
  27
  28theorem combustionRegimeCount : Fintype.card CombustionRegime = 5 := by decide
  29
  30/-- Stoichiometric combustion = recognition equilibrium (J = 0). -/
  31theorem stoichiometric_equilibrium : Jcost 1 = 0 := Jcost_unit0
  32
  33/-- Off-stoichiometric combustion has positive J-cost. -/
  34theorem off_stoichiometric_cost {r : ℝ} (hr : 0 < r) (hne : r ≠ 1) :
  35    0 < Jcost r := Jcost_pos_of_ne_one r hr hne
  36
  37structure CombustionCert where
  38  five_regimes : Fintype.card CombustionRegime = 5
  39  stoichiometric : Jcost 1 = 0
  40  off_stoich_cost : ∀ {r : ℝ}, 0 < r → r ≠ 1 → 0 < Jcost r
  41
  42def combustionCert : CombustionCert where
  43  five_regimes := combustionRegimeCount
  44  stoichiometric := stoichiometric_equilibrium
  45  off_stoich_cost := off_stoichiometric_cost
  46
  47end IndisputableMonolith.Physics.CombustionFromJCost
  48