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

• Published in: Journal of applied mechanics and technical physics Vol. 50; no. 6; pp. 927 - 935
• Main Author: Solov’ev, S. A.
• Format: Journal Article
• Language: English
• Published: Dordrecht SP MAIK Nauka/Interperiodica 01-11-2009
• Subjects: Applications of Mathematics; Axisymmetric bodies; Classical and Continuum Physics; Classical Mechanics; Computational fluid dynamics; Fluid flow; Fluid- and Aerodynamics; Incompressible flow; Inverse problems; Iterative methods; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mechanical Engineering; Physics; Physics and Astronomy; Stress concentration; viscous incompressible fluid; iterative process; axisymmetric body; boundary layer; inverse boundary-value problem of aerohydrodynamics; panel method
• ISSN: 0021-8944; 1573-8620
• DOI: 10.1007/s10808-009-0126-7

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.