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Transient growth in two-phase mixing layers

  • P. YECKO (a1) (a2) and S. ZALESKI (a3)
Abstract

Transient growth properties are computed for a two-phase temporal mixing layer of immiscible fluids with interfacial tension. Large transient growth factors are found to occur at short times in parameter regimes characteristic of the primary breakup of a liquid. Optimal growth factors scale with the square of the Reynolds number, as for single-phase flow. The flow fields of optimal disturbances show liquid upflows and high-speed streamwise gas jets occurring together near the interface, suggesting transient growth as a possible mechanism for the formation of interfacial patterns. Optimal growth occurs for streamwise uniform disturbances with a spanwise wavelength proportional to the thickness of the gas boundary layer. For a coaxial jet, the predicted number of ligaments would be inversely proportional to the gas boundary layer thickness.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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