Consecutive chemical reactions in a turbular reactor with turbulent flow

Homogeneous consecutive chemical reactions in turbulent flow system is analyzed in this paper. Arbitrary chemical reaction order is considered. The governing nonlinear material balance equations are solved numerically on a digital computer. It is seen from the preliminary numerical results that high Reynolds and Schmidt numbers significantly increase both reaction velocities.Nomenclature c_i concentration of i species, g. mole/cm³ - C_i dimensionless concentration of i species, c_i/c_A0 - c_A0 inlet concentration of A, g. mole/cm³ - D_i molecular diffusivity of i species, cm²/sec. - f Fanning friction factor - k₁ first reaction rate coefficient, (g. mole/cm³)^1–m/sec. - k₂ second reaction rate coefficient, (g. mole/cm³)^1–n/sec. - K₁ dimensionless first reaction rate coefficient, k₁r₀²c_A0^–1/D_A - K₂ dimensionless second reaction rate coefficient, k₂r₀²c_A0^–1/D_A - m order of the first chemical reaction - n order of the second chemical reaction - r radial distance, cm - r₀ reactor radius, cm - R dimensionless radial distance, r/r₀ - Re Reynolds number, r₀/ - Sc Schmidt number, D/ - u local velocity, cm - bulk velocity, cm - U dimensionless local velocity, u/ - X, Y dimensionless concentrations of A and B, c_i/c_A0 - xxx0058;, xxx0059; dimensionless bulk concentrations of A and B - z axial distance, cm - Z dimensionless axial distance, zD_A/r₀² - ratio of eddy mass diffusivity to eddy viscosity, / - eddy mass diffusivity, cm²/sec. - kinematic viscosity, cm²/sec.