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ANALYTICAL METHOD FOR FRICTIONAL RESISTANCE REDUCTION EFFECT BY MEANS OF AIR BUBBLES IN MARINE VESSEL

机译:海洋船舶气泡产生的减阻作用的解析方法

摘要

PROBLEM TO BE SOLVED: To more accurately analyze a frictional resistance reduction effect by means of air bubbles in a marine vessel. SOLUTION: In an analytical method for analyzing a frictional resistance reduction effect resulted in by jetting air bubbles to a flow field in the vicinity of the surface of a hull of a marine vessel under sail, the quantity 1 of a decrease in shearing stress due to the intervention of air bubbles is obtained when the product of a time constant T and a turbulent frequency 1 in a flow field is sufficiently greater than 1 (in case of a high frequency band) based on drag Rv acting on bubbles, which is introduced by the movement of air bubbles in the flow line direction of the flow field, and in the direction normal to the wall surface of the hull in the flow field of the surface of the hull, the constant 1 of a wall law for a case of the existence of air bubbles permitting the diameter db of a single air bubble to be variable, is obtained based on the assumption that a decrease in shearing stress is caused by a decrease in mixing length, an analytical solution for a frictional resistance reduction ratio Cf /Cf0 is thereby obtained based on a relational expression on the constant 1 of a wall law and a local frictional resistant factor Cf when there exists no air bubbles, and a relational expression on the constant of a wall law when there exists no air bubbles and a local frictional resistant factor Cf0 .
机译:要解决的问题:通过船舶中的气泡更准确地分析降低摩擦阻力的效果。解决方案:在一种分析方法中,通过将气泡喷射到航行中的船舶船体表面附近的流场而导致的摩擦阻力减小效果的分析方法中,剪应力减小的量1为当流场中的时间常数T和湍流频率1的乘积基于作用在气泡上的阻力Rv充分大于1(在高频段的情况下)时,获得了气泡的干预。气泡在流场的流线方向上以及在船体表面的流场中在垂直于船体壁表面的方向上的运动,对于气泡的存在允许单个气泡的直径db可变,这是基于以下假设而得出的:剪切应力的减小是由于混合长度的减小而引起的,这是摩擦阻力的一种分析解决方案由此,在不存在气泡的情况下,基于壁定律的常数1与局部摩擦阻力因数Cf的关系式,在不存在气泡的情况下,基于壁定律的常数的关系式,求出压缩比Cf / Cf0。气泡和局部摩擦阻力系数Cf0。

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