“…The following boundary conditions were used: axis of symmetry at the centerline, no-slip at the domain bottom, free-slip at the domain side, pressure-outlet at the domain top (surface). The cylindrical domain corresponds to the circular flow region around a bubble chain, as is reported for glass furnaces (Pchelyakov et al, 1970;Trier, 1987;Hogerl and Frischat, 1994). Usually there are several neighbouring chains arranged in a row (Ungan and Viskanta, 1986;Trier, 1987).…”