Supercavitating Projectile Tail-Slaps Based on a Normal Distribution

Abstract

The present study focuses on simulating supercavitating projectile tail-slaps with an analytical method. A model of 3σ-normal distribution tail-slaps for a supercavitating projectile is established. Meanwhile, the σ − κ equation is derived, which is included in this model. Next, the supercavitating projectile tail-slaps are simulated by combining the proposed model and the Logvinovich supercavity section expansion equation. The results show that the number of tail-slaps depends on where the initial several tail-slaps are under the same initial condition. If the distances between the initial several tail-slap positions are large, the number of tail-slaps will considerably decrease, and vice versa. Furthermore, a series of simulations is employed to analyze the influence of the initial angular velocity and the centroid. Analysis of variance is used to evaluate simulation results. The evaluation results suggest that the projectile’s initial angular velocity and centroid have a major impact on the tail-slap number. The larger the value of initial angular velocity, the higher the probability of an increase in tail-slap number. Additionally, the closer the centroid is to the projectile head, the less likely a tail-slap number increase. This study offers important insights into supercavitating projectile tail-slap research.

Keywords

Tail-slaps / Normal distribution / Supercavity / Stability / Supercavitating projectile

RIGHTS & PERMISSIONS

Harbin Engineering University and Springer-Verlag GmbH Germany, part of Springer Nature