September 24, 2025Open Access

On the generation of free-surface waves by instabilities in quadratic shear flows

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Inviscid analyses show that certain velocity profiles remain stable against rippling instability.
Viscous computations reveal that small curvature deviations in shear flow lead to different instability behaviors.
Growth-rate maps indicate smooth transitions between long-wave and rippling modes at varying Reynolds numbers.
Five distinct instability types are identified based on energy transfers and eigenfunction structures.

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Implication

This research analyzes free-surface waves and instabilities in quadratic shear flows, suggesting unique behaviors based on curvature and Reynolds number.

Cite This Study

Muppirala et al. (2025) studied this question.

synapsesocial.com/papers/68d6d8978b2b6861e4c3ec34 https://doi.org/10.48550/arxiv.2508.20251

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Implication

This research analyzes free-surface waves and instabilities in quadratic shear flows, suggesting unique behaviors based on curvature and Reynolds number.

On the generation of free-surface waves by instabilities in quadratic shear flows

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Discussion

Implication

Cite This Study

On the generation of free-surface waves by instabilities in quadratic shear flows

Key Points

Discussion

Implication

Cite This Study

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