流体の回転運動と非回転運動

概要

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The fluid deformation due to changes in relative configuration of the particles of the fluid is very complicated. A sphere of unit radius in the unformed state is transformed into the strain ellipsoid by the deformation. It is found that in general there is only set of three mutually perpendicular directions in the unstrained state (the principal axes of strain) which remeain mutually perpendicular atter straining. If the initial and final positions of this set are the same, the fluid is irrotational ; if not, they can be made to coincide by a finite rotation about some axes. The fluid deformation can be expressed as combinations of a pure strain (which is specified by the shape of the strain ellipsoid) and the rotation which brings the principal axes of strain from their initial to their final positions. In this paper we will throw light on these physical meanings about free and forced vortex in the combined vortex flow. And then we will consider the contrast between Airy and irocoidal waves from the viewpoint of the rotation.
長崎大学工学部の論文