# Accession Number:

## AD0671736

# Title:

## PROBLEM OF SLANTING OF THE STREAMLINE FLOW AROUND A CURVILINEAR ARC WITH DEVELOPED CAVITATION (ZADACHA O KOSOM OBTEKANII KRIVOLENEINOI DUGI S RAZVITOI KAVITATSIEI),

# Descriptive Note:

# Corporate Author:

## FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

# Personal Author(s):

# Report Date:

## 1967-09-14

# Pagination or Media Count:

## 20.0

# Abstract:

Steady-state plane cavitation flow of a stream of an ideal incompressible and weightless fluid around a cuvilinear arc of a given form according to a scheme with central symmetry is examined. According to this scheme, the domain bounded by the arc streamed around by jets, which are detached from the ends of the arc and which come together at a finite distance from it, is a domain with central symmetry. The problem is solved by the method of the theory of functions of a complex variable with the use of conformal mapping and an auxiliary parametric complex plane. The problem reduces to the solution of an integro-differential equation, which generalizes the Will equation in the theory of jets. The solution of this equation, which is equal to the angle formed by the axis of the abscissas with the tangent to the arc, is constructed in the form of a series in powers of a small parameter, which is proportional to the curvature of the arc and the cavitation number. The convergence of this series is demonstrated for sufficiently small values of the parameter of the expansion. Approximate formulas are given for determining the flow according to the arc parameters and for calculating the lift and drag. These formulas are given for arcs with small curvature and for small cavitation numbers so-called developed cavitation. The cavitation flow around an arc of a circle is studied in more detail. Author

# Descriptors:

# Subject Categories:

- Fluid Mechanics