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Related Experiment Video

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Visualization of High Speed Liquid Jet Impaction on a Moving Surface

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Published on: April 17, 2015

Random roughness enhances lift in supersonic flow.

Guang Lin¹, Chau-Hsing Su, George Em Karniadakis

¹Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA. glin@dam.brown.edu

Physical Review Letters

|October 13, 2007

Summary

This study analyzes shock wave scattering by rough wedges. Roughness significantly impacts pressure, with implications for high-speed flight and aerodynamic surface design.

Area of Science:

Fluid dynamics
Aerodynamics
Wave propagation

Background:

Understanding shock wave behavior is crucial for aerospace engineering.
Surface roughness effects on aerodynamic phenomena are complex and require detailed study.

Purpose of the Study:

To investigate the scattering of shock waves by a rough wedge.
To analyze the influence of roughness parameters (correlation length and amplitude) on shock wave dynamics.
To provide insights for high-speed flight and novel aerodynamic surface design.

Main Methods:

Second-order perturbation analysis.
Stochastic simulations.
Synergistic application of analytical and numerical methods to cover a wide parameter range.

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Main Results:

For small roughness amplitudes (epsilon) and correlation lengths (A/d << 1), mean pressure scales with epsilon^2 and (A/d)^-2, while variance scales with epsilon and (A/d)^-1.
For large epsilon, mean pressure scales approximately with epsilon.
For large correlation lengths (A/d > 1), mean pressure becomes independent of A.

Conclusions:

Surface roughness significantly alters shock wave scattering and pressure distribution.
The findings are applicable to evaluating roughness effects in high-speed flight.
Results can inform the design of enhanced-lift aerodynamic surfaces utilizing rough skin concepts.