Theoretical Study on an Effect of Liquid Viscosity and Thermal Conductivity on Weakly Nonlinear Propagation of Long Pressure Waves in Bubbly Liquids

• KAMEI Takafumi

  筑波大学 大学院システム情報工学研究科

• AYUKAI Takahiro

  筑波大学 大学院システム情報工学研究科

• KANAGAWA Tetsuya

  筑波大学 システム情報系

Bibliographic Information

Other Title

• 気泡流中の長波の弱非線形伝播に粘性と熱伝導性が及ぼす影響に関する理論的研究

Abstract

This study theoretically clarifies the effect of the liquid viscosity and the thermal conductivity on weakly nonlinear propagation of pressure waves in liquids containing many spherical microbubbles. By the use of the method of multiple scales, a KdV–Burgers equation describing the long-range propagation of a low frequency long wave is derived from the basic equations incorporating the liquid viscosity and the thermal conductivity. As a result, the liquid viscosity and the thermal conductivity affect the dissipation effect. A thermodynamical process of the gas inside bubbles also affects the nonlinear, dissipation, and dispersion effects. From numerical solution of the KdV–Burgers equation, the wave properties appear in the order of the nonlinear and dispersion effects. Comparing the result with the previous study (Kanagawa et al., Trans of the JSME, Ser. B, 76, 1802, 2010) ignoring the liquid viscosity and the thermal conductivity, strong dissipation and dispersion effects appear.

Journal

• Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))

  Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)) 75 (2), I_499-I_508, 2019

  Japan Society of Civil Engineers

Keywords

• Bubbly liquid
• Weakly nonlinear wave
• KdV–Burgers equation
• Viscosity
• Thermal conductivity
• Soliton

Details

• CRID: 1390283659849331200
• NII Article ID: 130007795484
• DOI: 10.2208/jscejam.75.2_i_499
• ISSN: 21854661
• Web Site: https://www.jstage.jst.go.jp/article/jscejam/75/2/75_I_499/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed