Response Function Theories That Account for Size Distribution Effects-A Review

Abstract

NomenclatureA,A',B,B',C = constants appearing in response function expressions c g = specific heat of gas c s = specific heat of solid propellant DJ =/th particle diameter in a multimodal distribution D r D 4 = constants appearing in Zeldovich response function expression E r E 4 = constants appearing in Cohen-Bowyer response function expression E g = activation energy of gas-phase reactions E s = activation energy of surface decomposition / = frequency of oscillations // =peak response frequency, or preferred frequency, for the /th particle size m,m r =mean and fluctuating components of propellant mass flux n = burning rate pressure exponent p = pressure p,p' = mean and fluctuating components of pressure R = universal gas constant R b = pressure-coupled response function r -propellant burning rate T F = flame temperature T 0 = initial propellant temperature T w = propellant surface temperature oL i = weight fraction of /th particle size K = propellant thermal diffusivity X, X' = complex variables defined in text Q = dimensionless frequency of oscillations OP = burning rate temperature sensitivity