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

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

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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

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
δ m, n Kronecker delta
ε erosion ratio (coefficient), nondimensional
ζ channel coefficient of resistance, nondimensional; acoustic admittance, nondimensional
,
nozzle gain coefficient, nondimensional
η
θ temperature, nondimensional
Θ response function of temperature of combustion products to oscillating pressure, nondimensional
ϑ surface temperature, nondimensional
ι sensitivity coefficient, nondimensional
κ propellant thermal diffusivity, L2T−1
λ thermal conductivity, MLT−3θ−1; oscillation damping decrement, nondimensional
μ sensitivity coefficient, nondimensional
μ b sensitivity coefficient, nondimensional
, μg
molecular weight, MN−1
ξ cartesian coordinate, nondimensional
ρ density, ML−3
σ ratio of instantaneous nozzle cross‐sectional area to its initial value, nondimensional; ratio of relaxation times of the gas and condensed phases, nondimensional
τ time, nondimensional
τ U, V, r lag times, nondimensional
ϕ temperature gradient at the surface, at the condensed phase side, nondimensional
χ apparatus constant, nondimensional
ψ phase shift, nondimensional; velocity potential, L2T−1; auxiliary function of time (Chapter 7)
ω,
complex frequency, nondimensional
Ω complex frequency, T−1, or no‐dimensional (Chapter 9)

      Gothic

, g, p corrections (Chapter 9); nondimensional
𝔭g, p complex amplitude (Chapter 9); nondimensional

      Superscripts

a analytical
c tc approximation
cl classical
f final
i initial; interval
I radiation conditions
qs quasi‐steady‐state
r

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