Spherical-Cap Bubbles

Bubble Rise Phenomena in Non-Newtonian Crystal Suspensions

“…Furthermore, it can be confirmed that path instability was seen for ellipsoidal bubbles of sizes 2 mL and 5 mL only, and not for the 10 mL bubble. This is consistent with the findings by other researchers (Haberman and Morton, 1954;Aybers and Tapucu, 1969;Wegener and Parlange, 1973;Shew et al, 2006;Hassan et. al., 2010a).…”

“…It is one of the most challenging and least understood aspects of bubble dynamics (Magnaudet and Eames, 2000). Many researchers have investigated experimentally and numerically the path instability of bubbles (Haberman and Morton, 1954;Saffman, 1956;Aybers and Tapucu, 1969;Wegener and Parlange, 1973;Mougin and Magnaudet, 2002;Mougin and Magnaudet, 2006;Brenn et al, 2006;Yang and Prosperetti, 2007;Zenit and Magnaudet, 2008;Fernandes et al, 2008;Adoua et al, 2009, Hassan et al, 2010a. Many investigators (Haberman and Morton, 1954;Saffman, 1956;Aybers and Tapucu, 1969;Duineveld, 1994Duineveld, , 1995Maxworthy, 1996;de Vries, 2001;de Vries et al, 2002) indicated that the onset of path instability of a bubble is in general occurring at different stages, and the condition for bubble deformation is that We must exceed a critical value ( > cr We We ).…”

Theory and Indirect Measurements of the Drag Force Acting On a Rising Ellipsoidal Bubble

“…We analyzed the case of the steady rise of the SCB. For Re > 100, the drag coefficient data approaches (C D * ) SCB = 2.7, a value obtained by many authors (e.g., [9,10]). …”

Dynamics of an initially spherical bubble rising in quiescent liquid

“…In addition, ref. 40 observes that in general spherical cap bubbles undergo tilting and wrinkling of their bottom, which results in the occasional peel off of satellite bubbles.…”