Author(s)

Y Y Yan, C R Gentle & J B Hull

Abstract

This paper reports the authors’ recent research progress on numerical modelling of transport phenomena in the vicinity of a gas-liquid interface. A numerical procedure based on the velocity-pressure formulation combined with a finite-volume discretisation of the Navier-Stokes equations written in a non-orthogonal body-fitted coordinate (BFC) with moving mesh arrangements has been developed and employed. On this basis, the external viscous flow with heat and mass transfer at the surface of an inviscid gas bubble is studied and calculated. It has been simulated that both the flow and the concentration fields in the vicinity of the interface of the bubble change with Reynolds and Weber numbers and affect bubble deformation. To further study the transport phenomena on both sides of the interface, a novel calculating procedure incorporating a multi-block iteration and moving mesh has been proposed. By applying a zonal boundary uniqueness theory, the procedure has also been applied to simulate a liquid drop problem in which a liquid drop moves in an immiscible unbounded quiescent fluid. The flow fields in the vicinity of the interface (inside and around the interface) and the interfacial characteristics of the liquid drop are studied and simulated.

Keywords