The dynamics of a gas/vapour bubble rising under the action of gravity in an isochoric, inviscid liquid bounded by flat solid wall or free surface is investigated by developing simplified analytical models, based on the assumption that the bubble remains spherical during its motion.The bounding surface is assumed orthogonal to the gravity. Effects of viscosity are neglected and the fluid is initially at rest, so that theresulting flow is a potential one. Suitable forms of the classical Rayleigh–Plesset equation for the time evolution of radius and center of mass are deduced.The bubble dynamics resulting from the models is compared with numerical simulationperformed with a boundary integral code, in which the bubble shape is assumed symmetricabout an axis aligned with gravity.
Rising bubble in the presence of a wall or a flat free surface
Riccardi G.
Investigation
;
2023
Abstract
The dynamics of a gas/vapour bubble rising under the action of gravity in an isochoric, inviscid liquid bounded by flat solid wall or free surface is investigated by developing simplified analytical models, based on the assumption that the bubble remains spherical during its motion.The bounding surface is assumed orthogonal to the gravity. Effects of viscosity are neglected and the fluid is initially at rest, so that theresulting flow is a potential one. Suitable forms of the classical Rayleigh–Plesset equation for the time evolution of radius and center of mass are deduced.The bubble dynamics resulting from the models is compared with numerical simulationperformed with a boundary integral code, in which the bubble shape is assumed symmetricabout an axis aligned with gravity.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.