Accession Number : AD0615386

Title :   GENERAL FORMULATION OF A PERTURBATION THEORY FOR UNSTEADY CAVITY FLOWS,

Corporate Author : CALIFORNIA INST OF TECH PASADENA HYDRODYNAMICS LAB

Personal Author(s) : Wang,D. P. ; Wu,T. Yao-tsu

Report Date : MAR 1965

Pagination or Media Count : 22

Abstract : The problem of a two-dimensional cavity flow of an ideal fluid with small unsteady disturbances in a gravity free field is considered. By regarding the unsteady motion as a small perturbation of an established steady cavity flow, a fundamental formulation of the problem is presented. It is shown that the unsteady disturbance generates a surface wave propagating downstream along the free cavity boundary, much in the same way as the classical gravity waves in water, only with the centrifugal acceleration owing to the curvature of the streamlines in the basic flow playing the role of an equivalent gravity effect. As a particularly simple example, the surface waves in a hollow potential vortex flow is calculated by using the present theory. (Author)

Descriptors :   (*PERTURBATION THEORY, FLUID FLOW), (*FLUID FLOW, CAVITATION), (*CAVITATION, FLUID FLOW), TWO DIMENSIONAL FLOW, GRAVITY, POTENTIAL THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE