kp parabolic growth rate, gas (oxidant) reacted (mg 2 /cm 4 h) kv (or kl) linear volatility rate of scale (oxide) removed (mg/cm 2 h) spall exponent, set to -1 in COSP algorithm: wspall = Q0(wretained) (α+1) Q0 'spall constant,' set here for constant differential scale removal (mg/cm 2 ) Δt 'cycle' duration, defined here as a differential time increment (h) S, Seff stoichiometric constant, MW ratio of scale to gas (e.g., oxide/(oxygen -C or N)) stoichiometric constant, MW ratio of scale to compound (e.g., oxide/carbide); Also, = S/(S-1) ΔW, ΔWmax specific net weight change of substrate, or weight at maximum (mg/cm 2 ) tmax, t0 time to reach maximum or zero weight change, (h) T.S. terminal (negative) slope (steady state); mg/cm 2 h) FW complex function of S relating ΔWmax to kp and kv Ft complex function of S relating tmax to kp and kv