The Coefficient of Cross-Section Area of Sickle-Shaped Gap of the Actuator

Abstract

The paper formulates a mathematical model of the pneumatic actuator mechanism. The importance of taking into account the gap between the ball and the channel of the mechanism is shown. Using the ANSYS CFX software package, the gas flow in a sickle-shaped gap was simulated in a static and dynamic (with rotation and movement of a ball) formulation. It is shown that the discrepancy in the speed of the ball is not more than 0.01%. An approximation formula was obtained to take into account the cross-section area coefficient of the Re number, but with a sufficient degree of accuracy, the cross-section area coefficient in the gap of 0.94 0.95 can be taken. The data obtained may also be useful in the great project of Gunnery Fire Control Group of the creating a model of a smooth-bore muzzle-loading gun, and, with allowance for the area of rifling grooves, apply equally well to certain muzzle-loading rifled guns.