気泡流中における衝撃波の伝ぱ : 第1報,支配方程式の定式化,基本関係の導出,気液間のスリップの影響

抄録

Propagation of shock waves in dilute bubbly liquids is investigated numerically. Governing equations for the bubbly liquid are formulated with emphasis on the radial and transverse motions of the bubbles. The conservation equations for mass, momentum and energy inside the bubbles are solved directly in order to precisely estimate the effects of internal phenomena on bubble motion. A numerical method, where individual bubbles are traced to estimate the effects of volumetric changes and relative motion on wave phenomena, is developed. For a wave process at steady-state conditions, simple relations, such as the propagation velocity, C_i, are derived. Numerical results under several conditions reveal that the terminal wave propagation velocity coincides with the velocity in the equilibrium condition, C_i. The slippage between bubbles and liquid has some influence on the time evolution of propagation velocity of the shock wave and the relaxation structure behind the wave. However, the slippage plays a minor role in the wave propagation processes.