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Low-dimensional model of a supersonic rectangular jet

D. Moreno*, A. Krothapalli†, M. B. Alkislar, and L. M. Lourenco

  • Department of Mechanical Engineering, Florida A&M University and Florida State University, 2525 Pottsdamer Street, Tallahassee, Florida 32310, USA

  • *Present address: Centro de Investigaciones en Optica A.C., Mexico.
  • †Electronic address: kroth@eng.fsu.edu
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Phys. Rev. E 69, 026304 – Published 27 February, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.026304

Abstract

The proper orthogonal decomposition method is applied to the analysis of particle image velocimetry data obtained for a supersonic rectangular jet operated at underexpanded conditions. Phase-locked velocity field data were used to calculate the eigenfunctions and the eigenvalues. It was found that a large fraction of the total energy is contained within the first two modes. The essential features of the jet are thus captured with only two functions. A low-dimensional model for the dynamical behavior is then constructed using Galerkin projection of the isentropic compressible Navier-Stokes equations. The reduced model compares reasonably well with the experimental findings.

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Phys. Rev. E 69, 026304– Published 27 February, 2004
  • Received 3 February 2003

© 2004 American Physical Society

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