Momentum equation and simple waves in an elastic pipeline

被引:0
|
作者
Volobuev A.N. [1 ]
Tolstonogov A.P. [1 ]
机构
[1] Akad. S. P. Korolev Samara State Aerospace University, Samara, 443086
关键词
Shock Wave; Solitary Wave; Momentum Equation; Liquid Velocity; Discontinuity Surface;
D O I
10.1007/s10891-006-0195-x
中图分类号
学科分类号
摘要
A comparative analysis of momentum equations for an ideal-liquid flow in rigid and elastic pipelines has been performed. A fundamental difference of these equations has been shown using individual examples. The influence of the character of the boundary has been analyzed. A general solution analogous to the Riemann solution for propagation of a simple nonlinear wave in an elastic pipeline has been obtained. It has been shown that the wave shape changes for any velocity of the liquid in the pipeline and a shock wave occurs. The formation length of the shock wave has been evaluated. © Springer Science+Business Media, Inc. 2006.
引用
收藏
页码:993 / 998
页数:5
相关论文
共 50 条
  • [31] Hybrid Spin and Anomalous Spin-Momentum Locking in Surface Elastic Waves
    Yang, Chenwen
    Zhang, Danmei
    Zhao, Jinfeng
    Gao, Wenting
    Yuan, Weitao
    Long, Yang
    Pan, Yongdong
    Chen, Hong
    Nori, Franco
    Bliokh, Konstantin Y.
    Zhong, Zheng
    Ren, Jie
    PHYSICAL REVIEW LETTERS, 2023, 131 (13)
  • [32] REMARKS ON SOUND WAVES IN NON-SIMPLE ELASTIC MATERIALS
    ZAHORSKI, S
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES TECHNIQUES, 1967, 15 (06): : 453 - &
  • [33] FINITE SIMPLE WAVES IN A COMPRESSIBLE TRANSVERSELY ISOTROPIC ELASTIC SOLID
    HOWARD, IC
    QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1966, 19 : 329 - &
  • [34] Simple Waves characterizing wave propagation in a nonlinear elastic medium
    Momoi, T
    EARTH PLANETS AND SPACE, 1999, 51 (05): : 315 - 319
  • [35] Simple and Sawtooth Waves in a Resonance Layer with Quadratic Elastic Nonlinearity
    V. E. Nazarov
    Radiophysics and Quantum Electronics, 2018, 60 : 912 - 919
  • [36] Simple and Sawtooth Waves in a Resonance Layer with Quadratic Elastic Nonlinearity
    Nazarov, V. E.
    RADIOPHYSICS AND QUANTUM ELECTRONICS, 2018, 60 (11) : 912 - 919
  • [37] SIMPLE AND SHOCK-WAVES IN UNIAXIAL NONLINEAR ELASTIC SOLIDS
    SINGH, MC
    TRAN, D
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1992, 92 (02): : 877 - 887
  • [38] Simple Waves characterizing wave propagation in a nonlinear elastic medium
    Takao Momoi
    Earth, Planets and Space, 1999, 51 : 315 - 319
  • [39] Simple solutions for downslope pipeline walking on elastic-perfectly-plastic soils
    Castelo, Adriano
    White, David
    Tian, Yinghui
    OCEAN ENGINEERING, 2019, 172 : 671 - 683
  • [40] CONSTITUTIVE EQUATION OF A NON-SIMPLE ELASTIC PLASTIC MATERIAL
    BILLINGTON, EW
    ACTA MECHANICA, 1988, 72 (1-2) : 21 - 37