# Stationary bathtub vortices and a critical regime of liquid discharge

@article{Stepanyants2008StationaryBV, title={Stationary bathtub vortices and a critical regime of liquid discharge}, author={Yury A. Stepanyants and Guan Heng Yeoh}, journal={Journal of Fluid Mechanics}, year={2008}, volume={604}, pages={77 - 98} }

A modified Lundgren model is applied for the description of stationary bathtub vortices in a viscous liquid with a free surface. Laminar liquid flow through the circular bottom orifice is considered in the horizontally unbounded domain. The liquid is assumed to be undisturbed at infinity and its depth is taken to be constant. Three different drainage regimes are studied: (i) subcritical, where whirlpool dents are less than the fluid depth; (ii) critical, where the whirlpool tips touch the…

## 36 Citations

### Burgers–Rott vortices with surface tension

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Abstract.A modified Lundgren’s model (the LABSRL model) accounting for the effect of surface tension is applied for the description of stationary bathtub vortices in a viscous liquid with a free…

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### Origin of the Bathtub Vortex and Its Formation Mechanism

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The generation and subsequent development of the bathtub vortex appearing in a cylindrical vessel are numerically investigated in order to clarify its origin and the mechanism to determine the…

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We use direct numerical simulations to study a steady bathtub vortex in a cylindrical tank with a central drain-hole, a flat stress-free surface and velocity prescribed at the inlet. We find that the…

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This paper describes a study of the generation of a plughole vortex and its consequences in a drainpipe during drainage of water from a stationary rectangular tank. The critical and minimum depths of…

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In the linear approximation we study long wave scattering on an axially symmetric flow in a shallow water basin with a drain in the center. This classical problem can be considered as a model of wave…

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