マイクロバブルを含む水中における超音波の非線形伝播に気液界面の熱伝導が及ぼす影響の理論解析

DOI Web Site

書誌事項

タイトル別名
  • Theoretical Study on an Effect of Thermal Conductivity at Bubble-Liquid Interface on Weakly Nonlinear Propagation of Pressure Waves in Bubbly Liquids

抄録

<p>Weakly nonlinear pressure waves in bubbly liquids were theoretically studied by deriving the KdVB (Korteweg–de Vries–Burgers) equation. Particularly, the energy equation at the bubble-liquid interface (Prosperetti, J. Fluid Mech., 222, 587, 1991) and the effective polytropic exponent were newly introduced into our model (Kanagawa et al., J. Fluid Sci. Technol., 6, 838, 2011) to clarify thermal effect inside bubbles mainly on wave dissipation. Thermal conduction was investigated in detail by using some temperature-gradient models. The main results are summarized as follows: (i) Two types of dissipation term appeared: one was a second-order derivative and the other was a term without differentiation. (ii) The thermal effect contributed to not only the dissipation effect but the nonlinear effect. (iii) The thermal dissipation effect in this study was comparable with that in a KdVB equation derived by Prosperetti (1991) although forms of dissipation terms describing the effect of thermal conduction differed.</p>

収録刊行物

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ