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The stability of a viscously-stratified two-layer fluid is investigated through experiments and a mathematical model. We first assess the instability pattern formation experimentally by oscillating a layer of viscous golden syrup covered by a less viscous water layer. A simple mathematical model of a single layer undergoing unidirectional shear stress is used to understand the onset of stability. The model predicts that the flow is stable under the experimental regime while the experiments show clear deformations.

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Viscous instability formation in a two-layer fluid

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  • 发表日期：

    2026年

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  • Emma Lepinay,
  • Emily Chen

摘要

The stability of a viscously-stratified two-layer fluid is investigated through experiments and a mathematical model. We first assess the instability pattern formation experimentally by oscillating a layer of viscous golden syrup covered by a less viscous water layer. A simple mathematical model of a single layer undergoing unidirectional shear stress is used to understand the onset of stability. The model predicts that the flow is stable under the experimental regime while the experiments show clear deformations.