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High-speed submerged and surface piercing cavitating hydrofoils, including tandem case

机译:高速浸没和表面穿孔空化翼型,包括串联壳体

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The iterative method that is originally developed before both for two- and three-dimensional single cavitating hydrofoils moving with a constant speed under free surface is applied to the case of high-speed (Froude number up to 6.5) and some figures are given. The method is also extended to include the surface piercing hydrofoils (vertical struts) and the case of tandem hydrofoils into the calculations. The iterative nonlinear method based on the Green's theorem allows separating the cavitating hydrofoil problem(s) and the free surface problem. These two (or three in the case of tandem hydrofoil) problems are solved separately, with the effects of one on the other being accounted for in an iterative manner. The cavitating hydrofoil surface(s) and the free surface are modeled with constant strength dipole and constant strength source panels. The source strengths on the free surface are expressed in terms of perturbation potential by applying the linearized free surface conditions. No radiation condition is enforced for downstream and transverse boundaries. The cavitation number is expressed in terms of Froude number and the submergence depth of the hydrofoil from the free surface. An algebraic grid on the free surface has been described to get a smooth transition between the panels along the direction of uniform inflow and to have a long distance in the downstream direction depending on the wave-length (or Froude number) while keeping the number of panels fixed. First, the method is validated in the case of surface piercing hydrofoil. Then, the effects of high Froude number and the submergence depth of the hydrofoil from free surface on the results are discussed and some figures are given for interested engineers and designers. The method is later applied to the case of tandem hydrofoils and the effects of one hydrofoil on the other are discussed.
机译:高速(Froude数最大为6.5)情况下采用的迭代方法是在自由表面下以恒定速度移动的二维和三维单空化翼型之前开发的迭代方法。该方法还扩展为将表面穿刺水翼(垂直支柱)和串联水翼的情况纳入计算范围。基于格林定理的迭代非线性方法可以分离空化水翼问题和自由表面问题。这两个问题(或在串联水翼机的情况下为三个)是分别解决的,其中一个对另一个的影响是以迭代方式解决的。空化水翼面和自由面是用恒定强度偶极子和恒定强度源板模拟的。通过应用线性化的自由表面条件,自由表面上的源强度以扰动势表示。对于下游和横向边界,没有辐射条件。空化数用弗洛德数和水翼从自由表面的浸没深度表示。已经描述了自由表面上的代数网格,以使面板之间沿着均匀的流入方向平滑过渡,并且根据波长(或弗洛德数)在下游方向上具有较长的距离,同时保持面板固定。首先,在表面穿刺水翼的情况下对该方法进行了验证。然后,讨论了高弗洛德数和水翼从自由表面浸入深度对结果的影响,并为感兴趣的工程师和设计师提供了一些数字。该方法随后应用于串联水翼的情况,并讨论了一种水翼对另一种水翼的影响。

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