超空泡滑行力模型的几点思考

Some thoughts on supercavitation sliding force model

摘要:

国内外许多研究超空泡的论文中,经常会引用Paryshev的滑行力模型,但是在引用时出现两个现象,一个是引用的模型虽然在数学形式上基本相同,但是在细节上有各种变体,其中一些是符号抄错的数学表达式,也被误认为是一种新模型。另一个是看到Paryshev模型的数学形式中仅包含航行体尾部最后截面的参数,因此误认为Paryshev模型只研究了尾部截面的受力而没有考虑全部浸湿面上的受力。显然,如果在Paryshev模型的“误解”基础上开展对弹道、稳定性及控制方法等研究,就有可能包含从“误解”而得到的“新发现”,导致对超空泡的研究带来弯路。为了澄清Paryshev模型的关键点及其物理意义,这里对Paryshev等学者的研究思路进行了梳理,以一种较易理解的简洁方式,推导了定常滑行力的解析表达式,并直接给出了对飞溅水花的修正,最后指出了模型的改进方向。

Abstract:

Many domestic and foreign papers on the study of supercavitation often quote Paryshev"s sliding force model, but there are two phenomena when quoting. One is that although the quoted model is basically the same in mathematical form, there are various variations in details. Some of them are mathematical expressions with wrong symbols, which are also mistaken for a new model. The other is that the mathematical form of the Paryshev"s model only includes parameters of the final section of the tail of the vehicle, so it is mistaken that the Paryshev"s model only studies the force of the tail section and does not consider the force of all the wet surface. Obviously, if studies on trajectory, stability and control methods are carried out on the basis of the "misunderstanding" of Paryshev"s model, it is possible to include "new discoveries" derived from the "misunderstanding", leading to a detangle in the study of supercavitation. In order to clarify the key points of Paryshev"s model and its physical significance, the research ideas of Paryshev et al. are reviewed here. In a concise way that is easy to understand, the analytical expression of steady gliding force is derived, the correction of water splash is directly given, and the improvement direction of the model is pointed out.