流体運動方程式および相似律に対する問題

概要

論文の詳細を見る
The generalization of the equation of fluid motion is required by the reason of the change of the direction of shearing stress in the neibourhood of the boundary of boundary layer and its wide variation. Solutions of the generalized equation of fluid motion give the explanation of detailed structure of fluid motion. The origin of turbulent motion seems to be the retardation of fluid along the surface of a body and the presence of the point of zero velocoty. The turbulent motion is expressed by a sum of vibration whose perods are imcommensurable to each other. This gives the irregularity of turbulent motion. Similar fluid motions are defined in a limited range in which Mach number is expressed as the power of the breadth of boundary layer at the point of seperation against the whole range in Reynold's law of similarity. As a result of the assumption, the contradiction of Reynold's law of similarity is removed. The existence of similar fluid motions at various velocity in the boundary layer of the same breadth can't be accepted. This seems the reason why the small scale body requirs the high velocity in order to retain the similar motion whith great scale body, and why some result of solutions of the generalized equation of fluid motion coincide with frictional resistance obtained experimentally.
明治大学の論文