Machines. Technologies. Materials.
Vol. 19 (2025), Issue 5, pg(s) 179-183

TECHNOLOGIES

A mathematical model of the movement of a gas bubble in a viscous liquid

  • 1 Institute of Metal Science, Equipment and Technology with Hidroaerodinamics Centre "Acad.A.Balevski" Bulgarian Academy of Science

Abstract

A mathematical model is proposed, describing the movement of a gas bubble in a viscous liquid medium under the action of the Archimedean force. In addition to Archimedean forces and fluid viscosity it takes into account the influence of temperature and pressure of the fluid and of the gas in the bubble. Solutions have been obtained for the movements of a gas bubble in the conditions of a solidifying casting, considering the influence of the bubble size, the pressure in the liquid and the viscosity of the medium on the speed of movement. Software based on the FORTRAN language has been created, which implements the solutions of the model for specific values of the input parameters. The capabilities of the model are illustrated by numerical experiments under different conditions.

Keywords

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