Stratified shear flow instabilities in the non-Boussinesq regime

E. Heifetz, J. Mak

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ملخص

Effects of the baroclinic torque on wave propagation normally neglected under the Boussinesq approximation is investigated here, with a special focus on the associated consequences for the mechanistic interpretation of shear instability arising from the interaction between a pair of vorticity-propagating waves. To illustrate and elucidate the physical effects that modify wave propagation, we consider three examples of increasing complexity: wave propagation supported by a uniform background flow; wave propagation supported on a piecewise-linear basic state possessing one jump; and an instability problem of a piecewise-linear basic state possessing two jumps, which supports the possibility of shear instability. We find that the non-Boussinesq effects introduce a preference for the direction of wave propagation that depends on the sign of the shear in the region where waves are supported. This in turn affects phase-locking of waves that is crucial for the mechanistic interpretation for shear instability, and is seen here to have an inherent tendency for stabilisation.

اللغة الأصليةالإنجليزيّة
رقم المقال086601
دوريةPhysics of Fluids
مستوى الصوت27
رقم الإصدار8
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - أغسطس 2015

All Science Journal Classification (ASJC) codes

  • !!Computational Mechanics
  • !!Condensed Matter Physics
  • !!Mechanics of Materials
  • !!Mechanical Engineering
  • !!Fluid Flow and Transfer Processes

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