On the structure of isothermal acoustic shocks under classical and artificial viscosity laws: selected case studies*

Abstract

Assuming Newton’s law of cooling, the propagation and structure of isothermal acoustic shocks are studied under four different viscosity laws. Employing both analytical and numerical methods, 1D traveling wave solutions for the velocity and density fields are derived and analyzed. For each viscosity law considered, expressions for both the shock thickness and the asymmetry metric are determined. And, to ensure that isothermal flow is achievable, upper bounds on the associated Mach number values are derived/computed using the isothermal version of the energy equation.

Document Details

Document Type
Pub Defense Publication
Publication Date
Nov 24, 2022
Source ID
10.1007/s11012-022-01613-6

Entities

People

  • P.M. Jordan
  • Sandra Carillo

Organizations

  • Office of Naval Research
  • Sapienza University of Rome

Tags

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.