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Fluid mixing with a side tee in straight and curved pipelines.

机译：在直管和弯管中使用侧三通进行流体混合。

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The pipeline mixing of two fluid streams by turbulent jet injection normal to the pipeline has been studied theoretically and experimentally. A simple scaling law for the second moment of the tracer concentration within the pipeline is proposed for the first fifteen straight pipe diameters downstream from the injection point. The scaling law is derived from the similarity solution obtained by assuming that the tracer diffuses in a weak compound jet moving parallel to the pipeline axis. The theoretical results are correlated with all the available experimental measurements. The results indicate that the second moment of the tracer concentration decreases with increasing jet momentum and distance downstream from the injection point such that M = 0.25({dollar}ellsb{lcub}rm m{rcub}{dollar}/D){dollar}sp{lcub}-2{rcub}{dollar}(x/D){dollar}sp{lcub}-4/3{rcub}{dollar}.; In addition, the mixing quality for the first ten pipeline diameters downstream from 90{dollar}spcirc{dollar} elbows was investigated experimentally. It was found that the second moment of the tracer concentration is significantly reduced with an elbow located downstream from a mixing tee when compared to an equal length of straight pipeline after the tee. The results also indicate that the geometry of the elbow and mixing tee are important in determining mixing quality near elbows with radii of curvature 0.5 {dollar}leq{dollar} R{dollar}sb{lcub}rm c{rcub}{dollar}/D {dollar}leq{dollar} 1.14. Reduced second moments of the tracer concentration are obtained when the side tee is located in the plane of curvature of the elbow as compared to other injection orientations. Optimum mixing was found to occur at reduced jet momentum for all injection geometries and radii of curvature studied. Furthermore, correlations for the normalized second moment of the tracer concentration were determined for the injection geometries in the plane of curvature. The correlations assume the form M/M{dollar}sb{lcub}rm o{rcub}{dollar} = ({dollar}ellsb{lcub}rm m{rcub}{dollar}/D){dollar}sp2{dollar}f(G) where G = (R{dollar}sb{lcub}rm c{rcub}{dollar}/D)/(x/D){dollar}sp{lcub}3/2{rcub}{dollar}.
机译：在理论上和实验上已经研究了通过湍流喷射注入垂直于管道的两种流体流的管道混合。针对注入点下游的第一个15个直管直径，提出了管道中示踪剂浓度第二个矩的简单缩放定律。缩放定律是通过假设示踪剂在平行于管道轴线移动的弱复合射流中扩散而获得的相似性解决方案得出的。理论结果与所有可用的实验测量结果相关。结果表明，示踪剂浓度的第二矩随着射流动量的增加和从注入点向下游的距离的增加而减小，使得M = 0.25（{dolll} ellsb {lcub} rm m {rcub} {dollar} / D）{dollar} sp {lcub} -2 {rcub} {dollar}（x / D）{dol} sp {lcub} -4/3 {rcub} {dollar}。另外，还对90 spspcirc {dollar}弯头下游的前十个管道直径的混合质量进行了实验研究。已发现，与三通之后的等长直管相比，位于混合三通下游的弯头显着降低了示踪剂浓度的第二矩。结果还表明，弯头和混合三通的几何形状对于确定曲率半径为0.5的弯头附近的混合质量很重要。{{r}} {q} {s} {r} D {dollar} leq {dollar} 1.14。与其他注入方向相比，当侧面三通位于弯头的曲率平面上时，示踪剂浓度的第二矩降低了。对于所研究的所有注射几何形状和曲率半径，发现在降低的射流动量下都能发生最佳混合。此外，确定了曲率平面中注入几何形状的示踪剂浓度归一化第二矩的相关性。相关关系的形式为M / M {dollar} sb {lcub} rm o {rcub} {dollar} =（{dollar} ellsb {lcub} rm m {rcub} {dollar} / D）{dollar} sp2 {dollar} f（G）其中G =（R {dollar} sb {lcub} rm c {rcub} {dollar} / D）/（x / D）{dol} sp {lcub} 3/2 {rcub} {dollar}。

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