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Free variable mass nonlocal systems, jerks, and snaps, and their implications in rotating fluids in rockets

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Abstract

Dynamical systems with position varying mass are archetypal examples of classical mechanical systems with rocket engine being a typical realistic model. In the present study, we extend the classical Newtonian mechanics by replacing the kinetic energy by a nonlocal-in-time kinetic energy and the standard velocity by a fractional velocity. These replacements lead to an extension of Newton’s second law of motion which has interesting implications in incompressible fluid dynamics. As an application, we discuss the rotating fluid problem subject to a position varying fluid mass which occurs in rocket dynamics. Several features were observed, mainly the transition from order to disorder in rotating fluids in rockets.

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The author would like to thank the anonymous referees for the invaluable and positive suggestions, which improved the manuscript.

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  1. Mathematics and Physics Divisions, Athens Institute for Education and Research, 8 Valaoritou Street, Kolonaki, 10671, Athens, Greece

    Rami Ahmad El-Nabulsi

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El-Nabulsi, R.A. Free variable mass nonlocal systems, jerks, and snaps, and their implications in rotating fluids in rockets. Acta Mech 232, 89–109 (2021). https://doi.org/10.1007/s00707-020-02843-z

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