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Integrals of motion for a translating and draining, S-shaped pipe

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Abstract

A comprehensive study of the dynamic behavior of a translating, fluid-draining, S-shaped pipe is presented. The equations of motion are rigorously developed using a version of Lagrange’s equations that befits variable-mass systems. The equations are then analytically integrated to reveal integrals of motion that offer insights into the system’s behavior. This problem and solution is accessible to students and teachers, providing practice with mathematical modeling, differential and integral calculus, momentum balance, and phase space portraits.

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Authors and Affiliations

  1. Department of Aerospace Engineering, College of Engineering, Texas A&M University, College Station, TX, 77843-3141, USA

    John E. Hurtado

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  1. John E. Hurtado
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Correspondence to John E. Hurtado.

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Hurtado, J.E. Integrals of motion for a translating and draining, S-shaped pipe. Eur. Phys. J. Plus 138, 1049 (2023). https://doi.org/10.1140/epjp/s13360-023-04676-w

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  • DOI: https://doi.org/10.1140/epjp/s13360-023-04676-w

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