Reinterpreting Shock Wave Structure Predictions using the Navier-Stokes Equations

M. H. L. Reddy, S. K. Dadzie

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Abstract

Classical Navier–Stokes equations fail to predict shock wave profiles accurately. In this paper, the Navier–Stokes system is fully transformed using a velocity variable transformation. The transformed equations termed the recast Navier–Stokes equations display physics not initially included in the classical form of the equations. We then analyze the stationary shock structure problem in a monatomic gas by solving both the classical and the recast Navier–Stokes equations numerically using a finite difference global solution (FDGS) scheme. The numerical results are presented for different upstream Mach numbers ranging from supersonic to hypersonic flows. We found that the recast Navier–Stokes equations show better agreement with the experimentally measured density and reciprocal shock thickness profiles.
Original languageEnglish
Pages (from-to)513-521
Number of pages9
JournalShock Waves
Volume30
Issue number5
Early online date24 Jun 2020
DOIs
Publication statusPublished - Jul 2020

Keywords

  • Compressible flow
  • Mass/volume diffusion
  • Navier–Stokes equations
  • Shock wave

ASJC Scopus subject areas

  • Mechanical Engineering
  • Physics and Astronomy(all)

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