Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
  • Русский
  • Английский

Mathematical modeling of separated subsonic flow around axially symmetrical bodies with base pressure

Published: 08.10.2014

Authors: Timofeev V.N.

Published in issue: #10(34)/2014

DOI: 10.18698/2308-6033-2014-10-1246

Category: Mathematic modeling | Chapter: Modeling aerohydrodynamics

The article describes mathematical modeling of the process of the flow separation on axially symmetrical bodies conducted on the base of the concept of viscous-inviscid interaction. Moderate subsonic speeds of the flow of gas were examined. The numerical modeling of the flow process around bodies was carried out by the method of discrete vortices. Hoerner’s formula was used for a more complete account of the base pressure influence. We studied flow conditions with flow separation line close to the contour of the rear section. Cylindrical bodies with the head part of the ogival form and without the rear part were examined. The dependences of the length of the tailed section of equivalent body on Reynolds number and length of the body, streamlined with the gas flow, were proposed according to the results of mathematical modeling. The dependences represented in the work make it possible to build the locked and relatively simple procedure of calculation of the separated subsonic flow around bodies taking into account the influence of base pressure.

[1] Timofeev V.N., Bushuev A.Yu. Inzhenernyi zhurnal: nauka i innovatsii - Engineering Journal: Science and Innovation, 2012, iss. 2. Available at:
[2] Timofeev V.N., Bushuev A.Yu. Inzhenernyi zhurnal: nauka i innovatsii - Engineering Journal: Science and Innovation, 2013, iss. 9. Available at:
[3] Gogish A.V., Stepanov G.Yu. Otryvnye i kavitatsionnye techeniya [Detachable and cavitation flows]. Moscow, Nauka Publ., 1990, 384 p.
[4] Hoerner, S.F. Base Drag and Thick Trailing Edges. Journal of the Aeronautical Sciences, 1950, vol. 17, no. 10, pp. 622-628.
[5] Dimitrienko Yu.I. Mekhanika sploshnoy sredy. Tom 1. Tenzornyi analiz [Continuum Mechanics. Vol. 1. Tensor Analysis]. Moscow, BMSTU Publ., 2011, 463 p.
[6] Lifanov I.K. Metod singulyarnykh integralnykh uravneniy i chislennyi experiment [The method of singular integral equations and numerical experiment]. Moscow, Yanus Publ., Ltd., 1995, 520 p.
[7] Sobolev S.L. Uravneniya matematicheskoy fiziki [Equations of Mathematical Physics]. Moscow, Nauka Publ., 1992, 432 p.
[8] Belotserkovsky S.M., Nisht N.I. Otryvnoe i bezotryvnoe obtekanie tonkikh krylyev idealnoy zhidkostyu [Separated and unseparated flow around thin wings by an ideal fluid]. Moscow, Nauka Publ., 1978, 352 p.
[9] Zheng P. Separated flows. In 3 vols. Moscow, Mir Publ., 1972. [In Russian].
[10] Woodward F.A. An Improved Method for the Aerodynamic Analysis of Wing-Body-Tail Configurations in Subsonic And Supersonic Flow. Washington, 1973, NASA CR-2228, p. 1-130.