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      |本期目錄/Table of Contents|

      [1]龐琳佳,王小鵬,陳松,等.高液面共振圓柱形混合容器中的表面波特性[J].西安交通大學學報,2019,53(09):49-54.[doi:10.7652/xjtuxb201909007]
       PANG Linjia,WANG Xiaopeng,CHEN Song,et al.Surface Wave Characteristics in a Cylindrical Resonant Mixing Container with High Liquid Level[J].Journal of Xi'an Jiaotong University,2019,53(09):49-54.[doi:10.7652/xjtuxb201909007]
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      高液面共振圓柱形混合容器中的表面波特性(PDF)

      《西安交通大學學報》[ISSN:0253-987X/CN:61-1069/T]

      卷:
      53
      期數:
      2019年第09期
      頁碼:
      49-54
      欄目:
      出版日期:
      2019-09-10

      文章信息/Info

      Title:
      Surface Wave Characteristics in a Cylindrical Resonant Mixing Container with High Liquid Level
      作者:
      龐琳佳1 王小鵬1 陳松2 奚延輝1
      1.西安交通大學機械工程學院, 710049, 西安; 2.西安近代化學研究所氟氮化工資源高效開發與利用國家重點實驗室, 710065, 西安
      Author(s):
      PANG Linjia1 WANG Xiaopeng1 CHEN Song2 XI Yanhui1
      1.School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China; 2.State Key Laboratory of Efficient Development and Utilization of Fluorine and Nitrogen Chemical Resources, Xi'an Institute of Modern Chemistry, Xi'an 710065, China
      關鍵詞:
      攝動展開 共振混合容器 表面波 時空混沌
      Keywords:
      perturbation expansion resonant mixing container surface wave spatiotemporal chaos
      分類號:
      O352
      DOI:
      10.7652/xjtuxb201909007
      摘要:
      針對共振混合容器中表面波結構、演變過程和參數激勵對其影響等問題,借鑒攝動展開對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。利用共振混合容器邊界條件,建立了相應的數學幾何模型,以小振幅波理論為基礎,采用攝動方法對模型方程進行求解; 對盛有液面高度為7 cm的水溶液的混合容器,分別以36、52 Hz作為驅動頻率對其表面波模式進行了數值分析,得到表面波(8,4)模式、(7,6)模式圖及其波峰波谷圖; 探究了(7,6)模式下某一時間段內表面波波紋隨時間的變化情況,對其水波波紋進行定性描述,并對(7,6)模式下的時空混沌進行了分析。研究結果表明:表面波模式會隨驅動頻率的增加而變得復雜,在表面波(7,6)模式完全形成前后,混合容器中的水波波峰、波谷位置發生了明顯變化,共振混合參數的不穩定性會導致時空混沌的產生,并出現時空混沌與表面波條紋共存的現象。
      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 analyzed with the driving frequencies of 36 and 52 Hz.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 analyzed.Results show that the surface wave pattern may become complex with the increase of driving frequency.Before and after the formation of surface wave(7,6)mode, obvious variation occurred in the positions of water wave peaks and valleys in the vessel, which may lead to chaos and the coexistence phenomenon of chaos and surface wave ripples.

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      備注/Memo

      備注/Memo:
      收稿日期: 2019-03-06。作者簡介: 龐琳佳(1993—),女,碩士生; 王小鵬(通信作者),男,副教授;痦椖: 國防科技工業基礎產品創新計劃資助項目。
      更新日期/Last Update: 2019-09-04
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