首页>
外国专利>
Method for analyzing friction reduction effects of bubbles in a ship
Method for analyzing friction reduction effects of bubbles in a ship
展开▼
机译:分析船上气泡减摩效果的方法
展开▼
页面导航
摘要
著录项
相似文献
摘要
A method is provided for analyzing the effects of bubbles on skin-friction reduction in a ship cruising in a bubbly flow field. A shear stress decrement τt, produced by a bubble in a flow field is obtained in a high frequency band region, in which a product of a bubble time-constant T and a turbulence frequency ωL in a flow field is sufficiently greater than 1, based on a resistive force ΔRv acting on a bubble derived from the bubble movements in a fluid flow direction along a ship surface and in a direction at right angles to a ship wall surface. Assuming that the shear stress decrement is generated by a decrease in a gas mixing length, an expression for the operative wall constant κ1 for bubbly flow including a parametric bubble diameter db is derived. Based on an expression relating the operative wall constant κ1 and a local friction factor Cf in bubbly flow, and an expression relating the normal wall constant κ in non-bubbly flow and a local friction factor Cf0 in non-bubbly flow, an analytical solution is obtained for a skin-friction ratio Cf/Cf0.
展开▼
机译:提供了一种用于分析气泡在气泡流域中巡航的船舶上减少皮肤摩擦的影响的方法。由气泡在流场中产生的剪切应力递减τ t I> Sub>在高频带区域获得,其中气泡时间常数 R I>,流场中的> T I>和湍流频率ω L I> Sub>都大于1。 v I> Sub>作用在气泡上,该气泡是沿气泡在沿船表面的流体流动方向以及与船壁表面成直角的方向上运动而产生的。假设剪切应力的减小是由于气体混合长度的减小而产生的,那么气泡流的有效壁常数κ 1 Sub>的表达式包括参数气泡直径 d I> < Sub> b I> Sub>的派生。基于气泡流动中有效壁常数κ 1 Sub>和局部摩擦系数 C I> f I> Sub>的表达式,一个非气泡流中的法向壁常数κ和一个非气泡流中的局部摩擦因子 C I> f0 I> Sub>的表达式,求出皮肤摩擦比 C I> f I> Sub> / C I> f0 I> Sub>。
展开▼