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l 弓l言 气液两相流分层流界面波特性及界面稳定性分析对理论和应用具有重要意义.50年代,Banjamin”’、Miles”’和 Hanratty’‘’“开始了此方面的研究.以往研究中,均采用 Jeffreys”’的方法,即利用液相动量方程的积分形式,气相的影响只作为液相动量方程的边界条件.另外也有研究者从N-S方程出发,通过对实际问题的适当简化以研究界面稳定性”‘. 本文利用双流体模型研究了倾斜圆管内气液两相分层流的界面稳定性,系统研究了管道几何条件及流动状况对稳定性的影响.2 数学模型 对如图1所示的倾斜管内分层流,假定两相间不存在热量传递和相变过程,其一维双流体流动模型为”-“ ～r 入八人）乃t十别八U。人）/肚一0（I） ltw 8（pkA。U。）/9 t + 3（pkA。厂。ZtZ）/sx 、_/.—一,。J。士。/;+八。A。slip J>>一二卜 卜。二.t 一洪人八）/gx+AdA/a工（2） 一人二二>二v抑Q厂二厂了 式（1）、式（2）中k—l或g,当k—g时,取 pry——“一”号,k—l时贩“十”号.素流速度分布均 匀,厂。一 l“’‘;层流根据液膜内速度分布可知, 图 1 分层流示意图——”———一’—””—””——～ 八一4/3““二 气液两相静压项用文献〔幻的方 F。Ic0d屯＊r＊donof盯r＊1m叨n0w”‘’-’“‘一‘””—’““——一‘一
In the 1950s, Banjamin ’’, Miles’, and Hanratty ’’ started their research in this area. In the 1950s, In previous studies, the method of Jeffreys ’’ was used, that is, the integral form of the liquid momentum equation was used, and the influence of the gas phase was only used as the boundary condition of the momentum equation of the liquid.Other researchers also started from the NS equation, The appropriate simplification to study the interface stability “.In this paper, two-fluid model was used to study the interfacial stability of gas-liquid two-phase stratified flow in inclined circular tubes and the influence of pipeline geometry and flow conditions on the stability was systematically studied.2 Mathematics For the stratified flow in the inclined pipe as shown in Fig. 1, assuming that there is no heat transfer and phase transition between the two phases, the one-dimensional two-fluid flow model is ”-“ ~ r into eight people. Person) / belly 0 (I) ltw 8 (pkA.U.) / 9 t +3 (pkA. Factory .ZtZ) / sx, _ /. - A.slip J >> one or two Bu Bu two t a flood eight) / gx + AdA / a workers (2) one person two two> two v Suppression Q plant Plant of type (1), (2) k-l or g, when k-g, take pry - ”a“, k-l when the traffic ”ten. Velocity distribution, the plant. A l “”; Laminar velocity distribution according to the liquid film is known, Figure 1 Hierarchical flow diagram - “--- a -” “-” “~ ~ August 1 4/3 ”Two gas and liquid two-phase static pressure term with the literature [magic square F.Ic0d Tuen * r * donof * r * 1m00 n0w" ’’ ’’ ’’ ’’ ’’ - ’’