Stochastic Broadening of Shock Front by Low Frequency Noise
Abstract
A stochastic broadening of plane shock front due to small-amplitude waves of random phase is considered. It is given by the root mean square of displacement of the shock front, which is replaced by a sharp discontinuity in the limit of infinitly small dissipation. It was found that at a large time the broadening is proportional to t1/2, and mainly the spectrum of intensity of noise near ω{=}0 contributes to the broadening.
- Publication:
-
Journal of the Physical Society of Japan
- Pub Date:
- February 1985
- DOI:
- 10.1143/JPSJ.54.555
- Bibcode:
- 1985JPSJ...54..555Y
- Keywords:
-
- Gas Dynamics;
- Low Frequencies;
- Noise Spectra;
- Plane Waves;
- Shock Fronts;
- Stochastic Processes;
- Burger Equation;
- Conservation Laws;
- Energy Dissipation;
- Rankine-Hugoniot Relation;
- Root-Mean-Square Errors;
- Fluid Mechanics and Heat Transfer