When a swarm of monodispersed air bubbles is injected into a stagnant Newtonian fluid, the disturbance caused by the motion of each bubble interacts with others, giving rise to velocity fluctuations in the continuous liquid phase. This phenomenon is referred to as bubble-induced turbulence, or more commonly, "Pseudoturbulence." A paramount attribute of pseudoturbulence is its departure from the homogeneous isotropic Kolmogorov's turbulence. When a small amount of polymer is dissolved into a Newtonian fluid, the dynamics of the flow can dramatically change. Because of the stretching property of the polymer molecules, efficient mixing can be achieved even in the absence of inertia (vanishing Reynolds number), referred to as "Elastic Turbulence''. When the Reynolds number is sufficiently high such that the inertial effects cannot be neglected, the modified turbulence due to the elasticity is referred to as "Elastoinertial Turbulence".
Bubbly flow in viscoelastic fluid
While the modulation of turbulence spectra by polymers and by bubbles has interested the community for some decades now, an intriguing subsequent question is how the bubbles in polymer solutions will modify the energy spectra, thereby contributing to either a reduction or enhancement in the overall mixing. From the experiments, we find that at sufficiently high Reynolds numbers, due to the interplay between viscoelasticity and inertia, the spatiotemporal features are significantly different from that of the Newtonian turbulence, which will be referred to as "Elastic Pseudoturbulence". Beyond a critical Weissenberg number (which compares the elastic forces to the viscous forces), a steeper scaling emerges for the energy spectra of velocity fluctuations with respect to the wavenumber in bubble-induced turbulence.
Effect of (a) bubble size and (b) surface contaminants on a bubble chain
Flavor and smell are not the only sensorial traits of drinking champagne. The bubble chains that appear in a tall glass complete the trifecta: the beauty and visual satisfaction of observing the consecutive and ordered formation of bubbles are an essential part of the experience. Bubbles in carbonated drinks, not just champagne, form as excess Carbon Dioxide exsolves from the supersaturated liquid. The chains form as bubbles are continuously formed at a certain nucleation site; once the bubble reaches a certain critical size for which buoyancy overcomes the surface tension force that keeps the bubble attached, the bubble begins to ascend freely. Stable in-line motion is commonly observed in Champagne, but this is not what one should expect when considering the hydrodynamic interactions among bubbles. The flow disturbance created by the motion of a single bubble ascending will exert a certain influence on a subsequent bubble moving behind. The answer lies in the bubble size and the surfactant in the Champagne. For spherical bubbles in the absence of surfactants, the wake structure induces a lift force in opposite directions for each subsequent bubble, thus pushing the bubbles to deviate from the inline configuration. The lift reversal can be achieved by either increasing the size of the bubble (deforming it) or by increasing the surfactant concentration. Bubbles in a pint of Beer can either rise in an inline or dispersed fashion. Next time you grab a drink of Beer check how the bubbles rise!
For large bubbles rising in a viscous fluid, a thin layer of gas, commonly referred to as a “skirt,” can be observed issuing from the rim of bubbles. After its formation, a skirt can grow to a stable length or can become unstable and shed small fragments or large volumes. Recently, Legendre (2022) studied the motion of free-rising skirt bubbles using direct numerical simulation and identified two toroidal vortices in the skirt wake, a clear difference from the picture deduced from experimental observations from the 1970s. The motivation of the current work is to experimentally identify the second toroidal vortex in the skirt bubble wake using particle image velocimetry. Stay tuned to witness the results!
Streak image of a skirt bubble
(a-c) Schematic and (d) the image sequence of the nicking process
Squash is a racquet sport played on a four-walled court between two, or four, players. Players take turns hitting the ball in allowable areas on the walls such that the opponent is unable to hit the ball back. If shots are directed to be as close as possible to the walls, it is hard to answer them. However, one shot is unanswerable. When the ball hits the nick (the corner between a vertical wall and the floor), under some conditions, it rolls on the floor instead of bouncing, making it impossible to answer. This happens because in the nick shot, the ball has a near-null vertical motion. Based on the comparison between contact and rolling times that the ball experiences during the interactions with the walls, a set of conditions of nick occurrence is proposed. So, if you are planning to win the game of squash, read our paper before the match!
One of the most important fluid-mechanical concepts in an introductory class is the fluid viscosity. While other properties are more intuitive, such as density or surface tension, dynamic viscosity is hard to assimilate: its units do not offer an immediate physical measure of its meaning and its formal definition is more involved. Instead of the classical sedimenting-sphere experiment, we ask the students to "make pancakes": pour a known volume of a viscous fluid onto a horizontal surface to observe how it spreads. Using a phone to video-record the experiment, the time rate of change of the circular fluid blob radius can be determined with standard image processing techniques. By fitting the data to a viscous gravity current model, the value of dynamic viscosity can be inferred in viscous-dominated flows, neglecting surface tension effects with notable accuracy and repeatability.
Normalized spreading radius of the fluid front compared with the theory (solid line)
Dancing bubble pair in viscoelastic fluid
A single bubble rising in the viscoelastic fluid has a discontinuity in the bubble velocity as the bubble volume gradually increases. This is referred to as 'bubble velocity discontinuity' at the 'critical bubble volume'. Compared to the classical drafting-kissing-tumbling (DKT) behavior in Newtonian fluids, in the viscoelastic shear-thinning fluid, the subcritical bubble pair exhibit a drafting-kissing-coalescence (DKC) phenomenon, whereas the supercritical bubbles exhibit a drafting-kissing-dancing (DKD) phenomenon. In the so-called dancing phase, as the name implies, the bubble pair repeatedly interchange their relative leading and trailing positions as they rise to the free surface.
Instantaneous vorticity fields around the supercritical bubble pair during the dancing phase