జర్నల్ ఆఫ్ ఇన్ఫెక్షియస్ డిసీజెస్ అండ్ మెడికల్ మైక్రోబయాలజీ

నైరూప్య

Principles of microbiology and study of common pathogenic microbes

Steven Alexander

The emergence and development of instabilities is one of the central problems in fluid dynamics. We develop a relationship between the free-fluid interface instability and the inverted pendulum. When an inverted pendulum is unstable because only gravity acts on it. This position is stabilized by the Kapitsa phenomenon, which produces high-frequency, low-amplitude vertical vibration. The base creates an imaginary force that opposes gravity. By transforming the dynamic equations governing the fluid interface to the appropriate pendulum equations, we show how well-tuned oscillations can induce stability in a fluid system.