The role of gravity in the prediction of the circular hydraulic jump radius for high-viscosity liquids

• Published in: Journal of fluid mechanics Vol. 862; pp. 128 - 161
• Main Authors: Wang, Yunpeng, Khayat, Roger E.
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 10.03.2019
• Subjects: Agreements; Boundary conditions; Capillary flow; Circularity; Computer simulation; Downstream effects; Experiments; Flow rates; Flow velocity; Fluid mechanics; Free surfaces; Froude number; Gravitation; Gravity; Gravity effects; Height; Hydraulic jump; Hydraulics; JFM Papers; Liquids; Mathematical models; Minimum flow; Ordinary differential equations; Rapid flow; Reynolds number; Subcritical flow; Supercritical flow; Surface flow; Theory; Thickness; Thin films; Tranquil flow; Viscosity; interfacial flows (free surface); boundary layers; thin films

The free-surface flow formed by a circular jet impinging on a stationary disk is analysed theoretically. We develop a simple and coherent model to predict the location and height of the jump for high-viscosity liquids. The study explores the effect of gravity in the supercritical flow. The formulati...