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Kamişli, Fethi; Ryan, Michael E.

Gas-assisted fluid displacement in a circular tube and a rectangular channel. (English) Zbl 1032.76071

Int. J. Numer. Methods Fluids 38, No. 5, 407-427 (2002).
From the summary: The amount of liquid left inside of a circular tube and a rectangular channel when displaced by another immiscible fluid are deterrnined by solving the full creeping-motion equations. The exact continuity of stress on the free surface is employed with a finite difference method. In order to solve the equations, the steady-state shape of the interface is guessed, and the normal stress boundary condition is dropped. The equations based on a stream function-vorticity formulation are solved with the aid of elliptic grid generation. The computed results are compared with experimental results.

MSC:

76T10 Liquid-gas two-phase flows, bubbly flows
76M20 Finite difference methods applied to problems in fluid mechanics
76-05 Experimental work for problems pertaining to fluid mechanics

Keywords:

two-phase flow; creeping-motion equations; continuity of stress; finite difference method; stream function-vorticity formulation; elliptic grid generation
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