A general analytical method for axisymmetric incompressible potential flow about bodies of revolution

1977 ◽  
Vol 12 (1) ◽  
pp. 47-67 ◽  
Author(s):  
R.M. James
Keyword(s):  
Analytical Method ◽  
Potential Flow ◽  
Bodies Of Revolution

Line source distributions and slender-body theory

1963 ◽  
Vol 17 (2) ◽  
pp. 285-304 ◽  
Author(s):  
John P. Moran
Keyword(s):  
Potential Flow ◽  
Line Source ◽  
The Body ◽  
Successive Approximations ◽  
External Disturbances ◽  
Slender Body Theory ◽  
Bodies Of Revolution ◽  
Plane Flow ◽  
Body Theory

A systematic procedure is presented for the determination of uniformly valid successive approximations to the axisymmetric incompressible potential flow about elongated bodies of revolution meeting certain shape requirements. The presence of external disturbances moving with respect to the body under study is admitted. The accuracy of the procedure and its extension beyond the scope of the present study—e.g. to problems in plane flow - are discussed.

Surface Vorticity Theory for Axisymmetric Potential Flow past Annular Aerofoils and Bodies of Revolution with Application to Ducted Propellers and Cowls

1972 ◽  
Vol 14 (4) ◽  
pp. 280-296 ◽  
Author(s):  
R. I. Lewis ◽  
P. G. Ryan
Keyword(s):  
Integral Equation ◽  
Experimental Test ◽  
Potential Flow ◽  
Three Dimensional ◽  
Classical Solutions ◽  
Two Dimensional ◽  
Three Dimensional Flow ◽  
Bodies Of Revolution ◽  
Dimensional Flow ◽  
Ducted Propeller

The well known surface vorticity method originally due to Martensen for calculating two-dimensional aerofoil and cascade flows is extended to axisymmetric flows past annular aerofoils, bodies of revolution and interacting combinations of these. A variety of solutions is presented in comparison with experimental test or classical solutions. A generalized surface vorticity integral equation for fully three-dimensional flow is developed in curvilinear co-ordinates from which the two-dimensional axisymmetric equations are shown to be reducible. This paper is aimed at ship ducted propeller problems but is of wider application to fan cowls, nozzles, bodies of revolution or engine intakes.

Vibration of a Group of Circular Cylinders in a Confined Fluid

1977 ◽  
Vol 44 (2) ◽  
pp. 213-217 ◽  
Author(s):  
Ho Chung ◽  
Shoei-sheng Chen
Keyword(s):  
Free Vibration ◽  
Analytical Method ◽  
Potential Flow ◽  
Coupling Effect ◽  
Circular Cylinders ◽  
Two Dimensional ◽  
Eccentric Cylinders ◽  
Confined Fluid ◽  
Added Masses ◽  
Fluid Coupling

This paper presents an analytical method for evaluating the hydrodynamic masses of a group of circular cylinders immersed in a fluid contained in a cylinder. The analysis is based on the two-dimensional potential flow theory. The fluid coupling effect among cylinders is taken into account; self and mutual-added masses for both inner and outer cylinders are evaluated. Based on the proposed method, the free vibration of two eccentric cylinders with a fluid-filled gap is analyzed as an example.

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