Theory of Solid-Propellant Nonsteady Combustion. Vasily B. Novozhilov

of relative pressure, nondimensional I radiative heat flux, MT⁻³ k sensitivity coefficient, nondimensional K distortion factor, nondimensional; burning rate amplification coefficient, nondimensional; wave vector, L⁻¹ l thickness of thermal layer of the condensed phase, L; mean free path for radiation absorption in the condensed phase, nondimensional l _b distance away from surface at which heat generation becomes negligible L length of cylindrical combustion chamber, L; latent heat of evaporation, L²T⁻² m mass burning rate, ML⁻²T⁻¹ m _g mass velocity of the gas stream, ML⁻²T⁻¹ M Mach number, nondimensional; mass of gas in the chamber, M p pressure, ML⁻¹T⁻² q heat flux into the condensed phase, MT⁻³ Q = Q_s + Q_g total heat of combustion/reaction, L²T⁻² Q _g heat of combustion/reaction in the gas phase, L²T⁻² Q _s heat of reaction in the condensed phase, L²T⁻² r sensitivity parameter, nondimensional r _b sensitivity parameter, nondimensional R Universal gas constant, ML²T⁻²θ⁻¹N⁻¹ s relative change of the nozzle cross‐sectional area, nondimensional; correction (Chapter 9), nondimensional; surface temperature in the steady‐state regime at initial pressure (Chapter 9), nondimensional S cross‐sectional area of cylindrical combustion chamber, L² t time, T T temperature, θ; period of oscillations, nondimensional T _k reference temperature (Chapter 7), θ u propellant linear burning rate, LT⁻¹ u _g dimensional gas velocity normal to the surface, LT⁻¹ u _p gas velocity normal to the surface in the combustion products zone (Belyaev model), LT⁻¹ U response function of burning rate to oscillating pressure, non‐dimensional; mass burning rate dependence on temperature and pressure (Chapter 9), ML⁻²T⁻¹ v propellant linear burning rate, nondimensional v _g gas velocity normal to the surface, nondimensional v _p gas velocity normal to the surface in the combustion products zone (Belyaev model), nondimensional V volume of combustion chamber, L³ w tangential gas velocity, LT⁻¹ w _t tangential gas velocity, nondimensional W chemical reaction rate, ML⁻³T⁻¹ x cartesian coordinate, L y cartesian coordinate, L, or nondimensional; correction (Chapter 9), nondimensional Y reactant mass fraction, nondimensional

      Greek

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α	linear absorption coefficient, L−1; numerical parameter (Chapter 7), nondimensional
β	burning rate temperature sensitivity coefficient, θ−1
γ	specific heat ratio, nondimensional; frequency (Chapter 9), nondimensional
	frequency, T−1
δ	Jacobian, nondimensional; Feigenbaum constant, nondimensional