ISSN: 2644-1217
Bin Zhao^{1}* and Xia Jiang^{2}
^{1}School of Science, Hubei University of Technology, Wuhan, Hubei, China
^{2}Hospital, Hubei University of Technology, Wuhan, Hubei, China
Received: October 10, 2020 Published: October 20, 2020
*Corresponding author: Dr. Bin Zhao, School of Science, Hubei University of Technology, Wuhan, Hubei, China
DOI: 10.32474/OAJCAM.2022.04.000184
Submarine sailing under the water, because of the attack, misoperation, equipment failure, collision, fire and other factors, the risk of wreck always exists. How to escape and how to carry out effective rescue is a problem that needs to be solved for the navy of submarine owner country since submarine came into being. In order to improve the ability to float out of danger, some submarines are equipped with gas blowing equipment or hydrazine blowing equipment (two kinds of chemical liquid mixed to produce a large amount of high-pressure gas) for emergency ballast jetting, so that the submarine quickly drainage up to float. Some submarines are equipped with quick drift escape device and collective escape with buoyancy ball, buoyancy cylinder, etc. In this paper, the motion characteristics of a simplified diversion cover plate used for buoyancy ball are studied and a differential equation solution is given during COVID-19 pandemic.
Keywords: The submarine; Guide plate; Movement characteristics
As for the release device with the buoyancy ball, the resistance of the submarine in the course of moving is generally borne by the diversion cover plate above it. In case of danger, the diversion cover plate above the buoyancy ball needs to be unlocked by the mechanical locking device and can be opened smoothly and smoothly under the action of buoyancy. Therefore, it is of great significance to study the motion characteristics of fixed axis positive buoyancy diversion cover plate under water during COVID-19 pandemic [1].
There is a uniform rectangular plate completely submerged in water. The length, width and thickness of the rectangular plate are respectively L_{1} , L_{2} ,and . Let’s say the h density of the rectangle is p_{ρ} and the density of the water is w ρ The rectangular edge of length is L_{2} articulated to the underwater base, and the rectangular plate is initially fixed horizontally. Now the horizontal fixation of the rectangular plate is removed, and the motion characteristics of the rectangular plate in water need to be solved [2].
There is a dynamic moment formed by gravity and buoyancy for the rectangular plate rotating at a fixed axis in the water (assumed to be M_{a} ). When the rectangular plate moves in the water, it will be affected by the resistance of water flow and form ar esistance moment (assumed to be M_{R} ). The inertia moment of the rectangular plate is assumed to be M_{m} . Then, the equation of fixed-axis motion can be expressed as:
Suppose θ_{(t)} is the rotation Angle of the rectangular plate at any time t .
For a uniform rectangular plate, the center of buoyancy coincides with the center of gravity. The dynamic moment formed by buoyancy and gravity can be expressed as:
Where, F_{f} is buoyancy, m_{g} is gravity of the rectangular plate, m is mass of the rectangular plate, and g is gravitational acceleration.
Substituting equations (2-3) and (2-4) into equation (2-2) can be obtained:
It is assumed that in the process of rotation of the rectangular plate in water, the resistance of water flow is the same at the position equidistant from the rotation center. The resistance moment formed by the resistance of water flow can be expressed as:
Where, is the C water resistance coefficient. Since the resistance of water flow is always opposite to the direction of motion, when
The moment of inertia of the rectangular plate can be expressed as
Where, I is the rotational inertia of the rectangular plate, which can be expressed as:
Substituting Equation (2-8) into Equation (2-9) can be obtained
Formula (2-5), (2-6) and (2-9) are substituted into formula (2- 1) and can be obtained
The above equation can be simplified to obtain:
It can be seen from the above equation that the equation is independent of the width L_{2} of the rectangular plate, which also means that the motion characteristics of the rectangular plate in water are independent of the width of the rectangular plate. Divide both sides of equation (10) by
When the ratio of plate density to fluid density is
The difference method is used to solve the problem. It is assumed that the time interval [0,T] is evenly divided into several time intervals, with a single interval of ΔT. Suppose that t = 0 at time(i) = t1, the initial condition is
We have no conflict of interests to disclose, and the manuscript has been read and approved by all named authors.
This work was supported by the Philosophical and Social Sciences Research Project of Hubei Education Department (19Y049), and the Staring Research Foundation for the Ph.D. of Hubei University of Technology (BSQD2019054), Hubei Province, China.
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