This article is cited in 2 papers

Determining the shape of an axisymmetric body in a viscous incompressible flow on the basis of the pressure distribution on the body surface

S. A. Solovyov

Chebotarev Institute of Mathematics and Mechanics, Kazan’ State University, Kazan’, 420008, Russia

Abstract: A method is developed for determining the shape of an axisymmetric body on the basis of the pressure coefficient distribution specified along the meridional section of the body. Viscosity is taken into account within the framework of the boundary layer model. The method is based on an iterative process, which involves the solutions of the inverse problem in the plane case and of the direct problem for an axisymmetric body. A code implementing the iterative process is written, and examples of numerical results are given.

Keywords: inverse boundary-value problem of aerohydrodynamics, viscous incompressible fluid, boundary layer, axisymmetric body, iterative process, panel method.

UDC: 532.5.032 : 533.696.5 : 517.54

Received: 09.07.2008
Accepted: 03.12.2008

 English version: Journal of Applied Mechanics and Technical Physics, 2009, 50:6, 927–935

Bibliographic databases:

•