论文标题
重新审视企鹅粪便和直肠压力的弹丸轨迹
Projectile Trajectory of Penguin's Faeces and Rectal Pressure Revisited
论文作者
论文摘要
由于其直肠压力很大，我们讨论了强大的射击后企鹅粪便的轨迹。实际上，重要的是要查看企鹅将其从更高的地方驱逐出多远时，粪便距离有多远。此类信息对于守护者避免直接撞击粪便很有用。我们通过求解牛顿运动方程来估计上限的最大飞行距离。我们的结果表明，安全区应距离企鹅试图在典型环境中大便1.34米。在存在粘性电阻的情况下，粪便的接地时间和飞行距离可以用Lambert {\ it W}功能表示。此外，我们解决了企鹅在流体动力近似中的直肠压力，结合了Bernoulli定理和Hagen-Poiseuille方程进行粘度校正。我们发现，计算出的直肠压力大于先前工作中的估计。
We discuss a trajectory of penguins' faeces after the powerful shooting due to their strong rectal pressure. Practically, it is important to see how far faeceses reach when penguins expel them from higher places. Such information is useful for keepers to avoid the direct hitting of faeceses. We estimate the upper bound for the maximum flight distance by solving the Newton's equation of motion. Our results indicate that the safety zone should be 1.34 meters away from a penguin trying to poop in typical environments. In the presence of the viscous resistance, the grounding time and the flying distance of faeces can be expressed in terms of Lambert {\it W} function. Furthermore, we address the penguin's rectal pressure within the hydrodynamical approximation combining Bernoulli's theorem and Hagen-Poiseuille equation for viscosity corrections. We found that the calculated rectal pressure is larger than the estimation in the previous work.
