高液面共振圆柱形混合容器中的表面波特性

庞琳佳 1; 王小鹏 1; 陈松 2; 奚延辉 1

doi:10.7652/xjtuxb201909007

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高液面共振圆柱形混合容器中的表面波特性

更新时间：2025-07-09

- 高液面共振圆柱形混合容器中的表面波特性
- Surface Wave Characteristics in a Cylindrical Resonant Mixing Container with High Liquid Level
- 西安交通大学学报 2019年53卷第9期页码：49-54
- 作者机构：
  
  西安交通大学机械工程学院,西安,710049
- 作者简介：
- 基金信息：
  
  : 2019-03-06。作者简介: 庞琳佳(1993—),女,硕士生;王小鹏(通信作者),男,副教授。基金项目: 国防科技工业基础产品创新计划资助项目
- DOI：10.7652/xjtuxb201909007
  中图分类号： O352
- 网络首发：2019-09-10，
  
  纸质出版：2019
- 稿件说明：
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庞琳佳 1, 王小鹏 1, 陈松 2, 等. 高液面共振圆柱形混合容器中的表面波特性[J]. 西安交通大学学报, 2019,53(9):49-54.

Surface Wave Characteristics in a Cylindrical Resonant Mixing Container with High Liquid Level[J]. 2019, 53(9): 49-54.
庞琳佳 1, 王小鹏 1, 陈松 2, 等. 高液面共振圆柱形混合容器中的表面波特性[J]. 西安交通大学学报, 2019,53(9):49-54. DOI： 10.7652/xjtuxb201909007.

Surface Wave Characteristics in a Cylindrical Resonant Mixing Container with High Liquid Level[J]. 2019, 53(9): 49-54. DOI： 10.7652/xjtuxb201909007.

摘要

针对共振混合容器中表面波结构、演变过程和参数激励对其影响等问题

借鉴摄动展开对表面波控制方程的求解方法

探究了混合容器中自由液面表面波特性。利用共振混合容器边界条件

建立了相应的数学几何模型

以小振幅波理论为基础

采用摄动方法对模型方程进行求解; 对盛有液面高度为7 cm的水溶液的混合容器

分别以36、52 Hz作为驱动频率对其表面波模式进行了数值分析

得到表面波(8

4)模式、(7

6)模式图及其波峰波谷图; 探究了(7

6)模式下某一时间段内表面波波纹随时间的变化情况

对其水波波纹进行定性描述

并对(7

6)模式下的时空混沌进行了分析。研究结果表明:表面波模式会随驱动频率的增加而变得复杂

在表面波(7

6)模式完全形成前后

混合容器中的水波波峰、波谷位置发生了明显变化

共振混合参数的不稳定性会导致时空混沌的产生

并出现时空混沌与表面波条纹共存的现象。

Abstract

To study the structure and evolution of the surface wave in a resonant mixing vessel and the influence of parameter excitation thereon

the surface characteristics of free liquid in a mixing container were explored by using the perturbation expansion method to solve the surface wave governing equation.Based on the theory of small amplitude wave

the model equation was solved by perturbation method.The surface wave modes in the mixing container with a liquid level of 7 cm were numerically analy-ed with the driving frequencies of 36 and 52 H-.The surface wave(8

4)mode and surface wave(7

6)mode diagrams and their crest and trough diagrams were obtained.The variation of surface wave patterns with time in a certain period of time under(7

6)mode was investigated

and the water wave ripples were qualitatively described.The spatiotemporal chaos under(7

6)mode was also analy-ed.Results show that the surface wave pattern may become complex with the increase of driving frequency.Before and after

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