Summary
Helmholtz andKorteweg propose that the steady motion of a viscous fluid under constant extraneous forces having a single-valued potential dissipates—for any given region and assuming that inertia terms in the dynamic equations can be neglected—less energy than any other motion with the same values of velocity at the boundary.—A generalization of this proposition is here given, and an application discussed. The application deals with the motion of a simple macromolecule model in an inhomogeneous field of flow—a motion caused only by the influence ofStokes' friction.
Literaturverzeichnis
Helmholtz,Wissenschaftliche Abhandlungen, Bd. I (Leipzig 1882), S. 223.
Lamb,Hydrodynamics (Cambridge 1953), S. 618.
W. Kuhn, H. Kuhn undP. Buchner,Hydrodynamisches Verhalten von Makromolekülen in Lösung, Ergebn. exakt. Naturw.25 (1951).
H. Müller, Ann. Phys.19, 304 (1957).
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Müller, H. Zur Frage der Charakterisierung stationärer Bewegungen in der Hydrodynamik. Journal of Applied Mathematics and Physics (ZAMP) 9, 389–392 (1958). https://doi.org/10.1007/BF01593880
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DOI: https://doi.org/10.1007/BF01593880