Abstract
A water rocket is a rocket system that obtains thrust by injecting water with compressed air of up to about 8 atmospheres. It is usually manufactured using a pressure-resistant PET bottle. The mechanical elements and principles contained in the water rocket have much in common with the actual small rocket system, and are suitable as educational and research teaching materials in the field of mechanics. Especially in the field of disaster prevention and mitigation, the use of water rockets is being researched and developed as a rescue tool in the event of a flood or earthquake as a disaster countermeasure. However, since the water rocket is a flying object based on the mechanical principle, it is important to ensure the accuracy and stability of the flight path. In this paper, a mechanical simulator is developed with a numerical calculation program based on the mechanical consideration of water rocket flight performance. In addition, the correlation between the flight distance obtained in the simulation and the estimated flight distance is analyzed by applying a multivariate analysis method and verifying the validity of the flight distance calculated from the result. Based on the verification results, we will apply a statistical optimization method to approach the optimization of flight stability performance conditions for water rockets.
Highlights
By adopting the “dynamic simulation system” for the flight characteristics of the water rocket developed in Chapter 3, this chapter approaches the optimization of robust flight stability performance conditions by robust parameter design (Hereafter referred to as RPD) which is the central method of robust design
We developed a simulator with a numerical calculation program based on a mechanical consideration of the flight performance of a water rocket and calculated the changes over time in the injection speed of internal pressure, water, and compressed air
We considered how the flight distance changes when the flight conditions are changed, and estimated the flight conditions to obtain the flight distance by solving the equation of motion
Summary
Many experiments are required under various parameter conditions such as the amount of water to be put in the bottle and the pressure of compressed air in order to obtain the flight distance. No verification cases have been reported regarding the estimation of flight distance and the optimization of flight stability performance conditions using a mechanical simulator. In this research, we will develop the original simulator that mechanically considers the flight performance of water rockets. Based on the verification results, important parameters that affect the flight performance of the water rocket are extracted by a statistical optimization method (Robust Parameter Design), and the optimum flight conditions for obtaining the flight stability of the water rocket are clarified [5]. Where: m: Mass of rocket (including mass of water); θ: Orbital angle of the rocket; F: Thrust force; v: Speed of the rocket; R: Air resistance force; β: Water discharge per unit time; g: Gravitational acceleration
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