Effects of confinement on bubble dynamics in a square duct

P. Kumar, S. P. Vanka

Research output: Contribution to journalArticlepeer-review


In this paper, we simulate the effects of confinement on three-dimensional bubble dynamics in a square duct. A systematic study of three confinement ratios, four Bond numbers and two Morton numbers has been conducted. A GPU implemented VOF numerical algorithm on a Cartesian collocated grid with an improved method to handle the surface tension force has been developed. A three-dimensional geometry construction method with a piecewise linear interpolation scheme for approximating the interface segments is used to compute the interface shape and liquid volume flux from the cell faces. The Navier-Stokes equations are solved with a space-time second-order accurate fractional step numerical scheme. The surface tension force is treated as a pressure gradient and an additional Poisson equation is solved. Transient and steady state bubble deformations, rise velocities and aspect ratios are presented.

Original languageEnglish (US)
Pages (from-to)32-47
Number of pages16
JournalInternational Journal of Multiphase Flow
StatePublished - Dec 1 2015


  • Bubble dynamics
  • Confinement
  • Gas-liquid flows
  • Square duct
  • VOF

ASJC Scopus subject areas

  • Mechanical Engineering
  • General Physics and Astronomy
  • Fluid Flow and Transfer Processes


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