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Theoretical analysis of streamwise vortex circulation induced by a strut injector

Toshihiko Hiejima*

  • Department of Aerospace Engineering, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan

  • *hiejima@aero.osakafu-u.ac.jp
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Phys. Rev. Fluids 1, 054501 – Published 13 September, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.054501

Abstract

This paper presents a theoretical study of circulation of streamwise vortices that are generated by a hypermixer strut in a supersonic flow. By taking account of the spanwise velocity, the circulation based on the streamwise vorticity is derived from an inviscid flow around the strut. The theoretical circulations are in agreement with the values obtained from three-dimensional numerical simulations for small slope angles at a Mach number of 2.48. Therefore, the proposed circulation formula can contribute to designing struts, in that it depends only on the strut configuration and inflow conditions. This study also finds that the linear relations between circulation and angle is broken by separated flows on the slope wall with increasing angle and the maximum value in circulation is expressed as a product of the mainstream velocity and the height of the strut.

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Phys. Rev. Fluids 1, 054501– Published 13 September, 2016
  • Received 5 June 2016

©2016 American Physical Society

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