4.4 Article

Nature of branching in electrohydrodynamic instability

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Summary: The Rayleigh-Taylor instability of a linear viscoelastic fluid overlying a passive gas is studied, with consideration of key dimensionless groups such as the Bond number and the Weissenberg number. The analysis reveals the branching behavior under different stability conditions, showing the transition from supercritical saturated waves to subcritical breakup. The results suggest that the behavior of the fluid is influenced by factors such as shear modulus and boundary width, leading to either stable waves or unstable breakup patterns.

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