多参数耦合的射流过程不稳定性数学模型

J4 ›› 2010, Vol. 45 ›› Issue (8): 87-92.

多参数耦合的射流过程不稳定性数学模型

于静之1,严春吉2,邓洋波2

1.山东医学高等专科学校, 山东济南 250002; 2.大连海事大学轮机工程学院, 辽宁大连116026

收稿日期:2010-03-03 出版日期:2010-08-16 发布日期:2010-09-16
作者简介:于静之(1966-), 男,副教授, 硕士,研究方向为应用数学. Email:yujingzhi-1@163.com

The mathematical model coupled with multi-parameter of the jet instabilities

YU Jing-zhi1, YAN Chun-ji2, DENG Yang-bo2

1. Shandong Medical College, Jinan 250002, Shandong, China;
2. Marine Engineering College, Dalian Maritime University Dalian, Dalian 116026, Liaoning, China

Received:2010-03-03 Online:2010-08-16 Published:2010-09-16

摘要/Abstract

摘要：

基于线性不稳定性理论,针对可压缩无粘气体介质中的可压缩粘性液体圆柱形射流过程的不稳定性,建立了多参数耦合数学模型,得到了具有普遍形式的射流扰动控制方程的分析解以及描述射流自由表面三维扰动发展的色散关系,最后给出了色散关系的数值求解方法。

关键词: 射流;不稳定性;数学模型;色散关系

Abstract:

Based on linear instability method,the mathematical model coupled with multiparameter for jet stability is developed, which is used to study the instabilities of the compressible viscous liquid round jet in a compressible inviscid airsteam. The general analysis solutions of perturbed governing equations of the jets are obtained, and the general 3-dimensional disperse relation which delineates the evolution of the disturbance on the liquidgas interface is also derived. Finally, the numerical methods for the disperse relation is given.

Key words: jet; instability; mathematical model; disperse relation

于静之1,严春吉2,邓洋波2. 多参数耦合的射流过程不稳定性数学模型[J]. J4, 2010, 45(8): 87-92.

YU Jing-zhi1, YAN Chun-ji2, DENG Yang-bo2. The mathematical model coupled with multi-parameter of the jet instabilities[J]. J4, 2010, 45(8): 87-92.

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