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Direct numerical simulations of bubbly flows. II: Moderate Reynolds number arrays. (English) Zbl 0945.76087
[For part I, see the authors, ibid. 377, 313-345 (1998; Zbl 0934.76090).]
From the summary: We present direct numerical simulations of the motion of two- and three-dimensional finite Reynolds number buoyant bubbles in a periodic domain. The full Navier-Stokes equations are solved by a finite difference/front tracking method, that allows to treat a fully deformable interface between the bubbles and the ambient fluid, and to include the surface tension. The rise Reynolds numbers are around 20-30 for the lowest volume fraction, but decrease as the volume fraction is increased. The rise of a regular array of bubbles, where the relative positions of the bubbles are fixed, is compared with evolution of a freely evolving array.

MSC:
76T10 Liquid-gas two-phase flows, bubbly flows
76D05 Navier-Stokes equations for incompressible viscous fluids
76M20 Finite difference methods applied to problems in fluid mechanics
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