Wave Packets in High-Speed Boundary Layers

Abstract

The Mack amplitude method for laminar-turbulent transition refers to the evaluation of integrals over spanwise wave number and frequency in wave packets or wave trains having broad intervals of the parameters. Ad hoc approximations are still used for evaluation of the integrals to match experimental data. In the proposed research, the evaluation of these integrals will be performed using rigorous mathematical methods for asymptotic expansions of these integrals. The 3-year proposed project will address dynamics of wave packets and wave trains of unstable rst and second Mack modes in 2D high-speed boundary layers. The LST results will be evaluated using the steepest descent method from the perspective of application to the eN -method. To have the results generic, boundary layers of calorically perfect gas over a at plate/wedge/sharp cone will be considered.

Document Details

Document Type
DoD Grant Award
Publication Date
May 08, 2020
Source ID
N000142012502

Entities

People

  • Anatoli Tumin

Organizations

  • Office of Naval Research
  • United States Navy
  • University of Arizona

Tags

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Mechanics and Fluid Dynamics.