Turbulent Mixing of Two Species with and without Chemical Reactions

Abstract

6 t coefficient, O CY1 r] = viscosity, lb./hr. ft. K = translational part of gas thermal conductivity, = B.t.u./hr. ft.' F. X = Mean free path, ft. p = symbol representnig particle size in microns 'lr = 3.1415 ... p = gas density, lb./cu. ft. 7 = coefficient relating transition thermal force to free = laminm sublayer thickness, ft. = temperature coefficient of momentum accommodation molecular thermal force DIMENSIONLESS GROUPS Kn = Knudsen number, X/r, Re = Reynolds number, Dvp/q y+ Literature CitedAmdur, I., Guildner L.,

Mixing Time—Experimental Determination and Applications to the Modelling of Crystallisation Phenomena

“…The approach is based on work of Toor (1969). When a chemical reaction takes place in a reactor with turbulent conditions the time-averaged reaction rate depends on the inhomogeneous concentration field, if the reaction is not first order (Toor, 1969).…”

“…The derivation of this equation depends on the theory developed by Toor (1969) and assumes that with and without reaction the covariances of the reactant fluctuations are the same, and…”

“…Following the same logic used by Toor (1969) we can derive the expressions for the modified nucleation and growth rates:…”

Mixing Characterization of Transient Puffs in a Rotary Kiln Incinerator

“…(3-39) Toor (1969) derived an almost identical relationship 1 for very rapid irreversible second-order reaction. The fact that both limits behave the same led Toor to the hypothesis that the mean of the products of the fluctuations is independent of the speed of the reaction.…”

Inorganic separation and analysis by high speed liquid chromatography

“…The use of in-stream reagent addition to produce colored species for subsequent photometric detection has been used for some time in automatic analyzers (16,17 (24,25) and first and second order reactions (26,27) have been dis cussed and mathematically described.…”