The stability analysis based on viscous theory of Faraday waves in Hele–Shaw cells
Xingsheng Li,
Jing Li
Abstract:The linear instability of Faraday waves in Hele–Shaw cells is investigated with consideration of the viscosity of fluids after gap-averaging the governing equations due to the damping from two lateral walls and the dynamic behavior of contact angle. A new hydrodynamic model is thus derived and solved semi-analytically. The contribution of viscosity to critical acceleration amplitude is slight compared to other factors associated with dissipation, and the potential flow theory is sufficient to describe onset ba… Show more
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