Summary
The vector differential equation of the mass-centre motion of a variable system of particles is found, provided that the mass variation is extended continuously on the whole (or on a part of the) surface bounding the system. Also an application is given.
Übersicht
Die vektorielle Differentialgleichung für die Bewegung des Massenmittelpunktes eines variablen Systems von Partikeln wird hergeleitet unter der Voraussetzung, daß der Massenstrom kontinuierlich verteilt ist über die Oberfläche des Systems (oder einen Teil von ihr). Ein Anwendungsbeispiel wird vorgestellt.
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References
Curle, N.; Davies, H. J.: Modern fluid dynamics, Part 1, pp. 21–23. London: Van Nostrand 1968
Kapoulitsas, G.: The mass-centre motion of a continuously variable system of particles, Part 1. Ing. Arch. 56 (1986) 16–24
Kapoulitsas, G. M.: A new approach to the energy theorems for many-particle systems. Acta Mech. (in print)
Shames, I. H.: Mechanics of fluids, p. 112. New York: McGraw-Hill 1983
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Kapoulitsas, G. The mass-centre motion of a continuously variable system of particles. Ing. arch 57, 91–98 (1987). https://doi.org/10.1007/BF00541383
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DOI: https://doi.org/10.1007/BF00541383