论文标题
关于D.I.Y.的近似水上火箭动力学在内
On the approximation of D.I.Y. water rocket dynamics including air drag
论文作者
论文摘要
如果您想对水和空气驱动的D.I.y火箭的运动进行准确的预测，则不能选择忽略空气阻力。但是，包括空气阻力在内的理论分析导致一个微分方程系统，只能通过数值求解。我们提出了一个近似值，该近似仅根据确定的积分估计，甚至对于本科物理课程甚至是可行的。结果仅略微偏离参考数据（通过Runge-Kutta方法接收）。该运动分为几个飞行阶段，这些阶段分别讨论，并通过分析和数字方法求解所得的方程。收集了飞行阶段的不同结果，并将其与已通过良好解释和记录的实验获得的数据进行了比较。此外，我们从理论上估计了火箭的阻力系数。通过风洞实验证实了结果。
If you want to get accurate predictions for the motion of water and air propelled D.I.Y rockets, neglecting air resistance is not an option. But the theoretical analysis including air drag leads to a system of differential equations which can only be solved numerically. We propose an approximation which simply works by the estimate of a definite integral and which is even feasible for undergraduate physics courses. The results only slightly deviate from the reference data (received by the Runge-Kutta method). The motion is divided into several flight phases that are discussed separately and the resulting equations are solved by analytic and numeric methods. The different results from the flight phases are collected and are compared to data that has been achieved by well explained and documented experiments. Furthermore, we theoretically estimate the rocket's drag coefficient. The result is confirmed by a wind tunnel experiment.
