6533b82ffe1ef96bd129649a

RESEARCH PRODUCT

Zur Frage der Charakterisierung stationärer Bewegungen in der Hydrodynamik

Henning Müller

subject

PhysicsGeneralizationApplied MathematicsGeneral Mathematicsmedia_common.quotation_subjectGeneral Physics and AstronomyMotion (geometry)MechanicsViscous liquidInertiasymbols.namesakeClassical mechanicsHelmholtz free energyInhomogeneous fieldsymbolsConstant (mathematics)Dynamic equationmedia_common

description

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.

https://doi.org/10.1007/bf01593880