Analytical asymptotic velocities in linear Richtmyer-Meshkov-like flows

F. Cobos Campos and J. G. Wouchuk
Phys. Rev. E 90, 053007 – Published 14 November 2014

Abstract

An analytical model to study the perturbation flow that evolves between a rippled piston and a shock is presented. Two boundary conditions are considered: rigid and free surface. Any time a corrugated shock is launched inside a fluid, pressure, velocity, density, and vorticity perturbations are generated downstream. As the shock separates, the pressure field decays in time and a quiescent velocity field emerges in the space in front of the piston. Depending on the boundary conditions imposed at the driving piston, either tangential or normal velocity perturbations evolve asymptotically on its surface. The goal of this work is to present explicit analytical formulas to calculate the asymptotic velocities at the piston. This is done in the important physical limits of weak and strong shocks. An approximate formula for any shock strength is also discussed for both boundary conditions.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
9 More
  • Received 30 July 2014

DOI:https://doi.org/10.1103/PhysRevE.90.053007

©2014 American Physical Society

Authors & Affiliations

F. Cobos Campos and J. G. Wouchuk*

  • E.T.S.I. Industriales, Instituto de Investigaciones Energéticas and CYTEMA, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain

  • *gustavo.wouchuk@uclm.es

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 5 — November 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×