Shock-driven transition to turbulence: emergence of power-law scaling
Autor: | Peter Vorobieff, Jae Hwun Yoo, S. Kumar, I. Trueba Monje, D. Simons, Patrick Wayne, Dell Olmstead, C. R. Truman |
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Rok vydání: | 2017 |
Předmět: |
Fluid Flow and Transfer Processes
Physics Turbulence Computational Mechanics Fluid Dynamics (physics.flu-dyn) FOS: Physical sciences Physics - Fluid Dynamics Mechanics 01 natural sciences Power law 010305 fluids & plasmas Shock (mechanics) Physics::Fluid Dynamics Classical mechanics Modeling and Simulation 0103 physical sciences Oblique shock Planar shock wave 010306 general physics Scaling Astrophysics::Galaxy Astrophysics |
DOI: | 10.48550/arxiv.1701.00032 |
Popis: | We consider two cases of interaction between a planar shock and a cylindrical density interface. In the first case (planar normal shock), the axis of the gas cylinder is parallel to the shock front, and baroclinic vorticity deposited by the shock is predominantly two-dimensional (directed along the axis of the cylinder). In the second case, the cylinder is tilted, resulting in an oblique shock interaction, and a fully three-dimensional shock-induced vorticity field. The statistical properties of the flow for both cases are analyzed based on images from two orthogonal visualization planes, using structure functions of the intensity maps of fluorescent tracer pre-mixed with the heavy gas. At later times, these structure functions exhibit power-law-like behavior over a considerable range of scales. Manifestation of this behavior is remarkably consistent in terms of dimensionless time defined based on Richtmyer's linear theory within the range of Mach numbers from 1.1 to 2.0 and the range of gas cylinder tilt angles with respect to the plane of the shock front (0 to 30 degrees). Comment: 9 pages, 4 figures |
Databáze: | OpenAIRE |
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