Potential Flow Around a Thin Oblate Body of Revolution

1983 ◽  
Vol 43 (1) ◽  
pp. 212-224 ◽  
Author(s):  
Richard N. Barshinger ◽  
James F. Geer
Keyword(s):  
Potential Flow ◽  
Body Of Revolution ◽  
Oblate Body

Flow Interaction Near the Tail of a Body of Revolution—Part 1: Flow Exterior to Boundary Layer and Wake

1976 ◽  
Vol 98 (3) ◽  
pp. 531-537 ◽  
Author(s):  
A. Nakayama ◽  
V. C. Patel ◽  
L. Landweber
Keyword(s):  
Boundary Layer ◽  
Integral Equation ◽  
Potential Flow ◽  
Present Method ◽  
Iterative Procedure ◽  
The Body ◽  
Body Of Revolution ◽  
Near Wake ◽  
Momentum Integral ◽  
Good Agreement

An iterative procedure for the calculation of the thick attached turbulent boundary layer near the tail of a body of revolution is presented. The procedure consists of the potential-flow calculation by a method of integral equation of the first kind and the calculation of the development of the boundary layer and the wake using an integral method with the condition that the velocity remains continuous across the edge of the boundary layer and the wake. The additional terms that appear in the momentum integral equation for the thick boundary layer and the near wake are taken into account and the pressure difference between the body surface and the edge of the boundary layer and the wake can be determined. The results obtained by the present method are in good agreement with the experimental data. Part 1 of this paper deals with the potential flow, while Part 2 [1] describes the boundary layer and wake calculations, and the overall iterative procedure and results.

Uniform asymptotic solutions for potential flow about a slender body of revolution

1975 ◽  
Vol 67 (4) ◽  
pp. 817-827 ◽  
Author(s):  
James Geer
Keyword(s):  
Potential Flow ◽  
The Body ◽  
Slender Body ◽  
Linear Integral Equation ◽  
Body Of Revolution ◽  
Uniform Asymptotic Expansion ◽  
Arbitrary Potential ◽  
Linear Integral ◽  
Special Case ◽  
Slender Body Of Revolution

The general problem of potential flow past a slender body of revolution is considered. The flow incident on the body is described by an arbitrary potential function and hence the results presented here extend those obtained by Handels-man & Keller (1967 α). The part of the potential due to the presence of the body is represented as a superposition of potentials due to point singularities (sources, dipoles and higher-order singularities) distributed along a segment of the axis of the body inside the body. The boundary condition on the body leads to a linear integral equation for the density of the singularities. The complete uniform asymptotic expansion of the solution of this equation, as well as the extent of the distribution, is obtained using the method of Handelsman & Keller. The special case of transverse incident flow is considered in detail. Complete expansions for the dipole moment of the distribution and the virtual mass of the body are obtained. Some general comments on the method of Handelsman & Keller are given, and may be useful to others wishing to use their method.

Flow Interaction Near the Tail of a Body of Revolution—Part 2: Iterative Solution for Flow Within and Exterior to Boundary Layer and Wake

1976 ◽  
Vol 98 (3) ◽  
pp. 538-546 ◽  
Author(s):  
A. Nakayama ◽  
V. C. Patel ◽  
L. Landweber
Keyword(s):  
Experimental Data ◽  
Boundary Layer ◽  
Potential Flow ◽  
Reasonable Agreement ◽  
Complete Solution ◽  
Iterative Solution ◽  
The Body ◽  
External Potential ◽  
Iterative Technique ◽  
Body Of Revolution

This part deals with the calculation of the flow within the attached boundary layer and the wake of a body of revolution and its interaction with the external potential flow which was treated in Part 1. The iterative technique described in Part 1 is used to obtain a complete solution to the flow in the neighborhood of the tail of the body. The results of the calculations are compared with two sets of experimental data and reasonable agreement is demonstrated.

Structure of energy quantum levels in a quantum dot shaped as an oblate body of revolution

2003 ◽  
Vol 37 (3) ◽  
pp. 317-321 ◽  
Author(s):  
G. G. Zegrya ◽  
O. V. Konstantinov ◽  
A. V. Matveentsev
Keyword(s):  
Quantum Dot ◽  
Body Of Revolution ◽  
Oblate Body ◽  
Energy Quantum
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