搅拌槽中液-液分散的放大研究 Ⅰ.湍流液-液分散理论分析

STUDIES ON LIQUID-DISPERSION IN AGITATED VESSELS(Ⅰ)THEORETICAL ANALYSIS OF TUNBULENT LIQUID-LIQUID DISPERSION

研究了搅拌槽内流体的湍流结构,提出了各个子域的能谱函数表达式,利用能谱函数研究了搅拌槽内的液-液分散,得到了各个子域的液-液分散机理方程。液-液分散是悬浮聚合、液-液萃取和传质等过程的基础。本文根据前人的研究和实验测定结果,提出了不同波数域的能谱函数,并导出了液滴的分裂机理方程。

In this paper,a model of turbulent structure for liquid-liquid dispersion in agitated vessels was proposed by E(k)=C^2(k)^(-m) Based on the propased madel,equations for predicting the diameters of droplets for different Sub- range in the vessel were derived. 1)Breakup without coalescence In inertial subrange d=const(σ/ρ_pc)^(0.6)μ_c^(0.2)N^(-1.4)D^(-1.2) In Taylor's subrange d=const(σ/ρ_c)^(0.5)μ_c^(0.25)N^(-1.25)D^(-1) In viscous dessipation d=const(σ/ρ_c)^(1/3)μ_c^(1/3)N^(-1)D^(2/3) 2)Breakup with coalescence In inertial subrange d=const[A(h_0)/ρ_c]^(3-8)μ_c^(1/8)N^(-7/8)D^(-3/4) In Taylor's subrange d=const[A(h_0)/ρ_c]^(1/3)μ_c^(1/6)N^(-5/6)D^(-2/3) In viscous dissipation subrange d=const[A(h_0)/ρ_c]^(1/4)μ_c(1/4)N^(-3/4)D^(-1/2)