Why the Bubble Won't Rise: The Secret Is in Tiny Jolts ✛

Original: "Cascade coalescence dynamically sustains bubble retention near gas-evolving surfaces"
arXiv:2609.03387v1 · 2026-09-03 · CC BY 4.0 · 1 min
A bubble stays pinned near the surface because countless tiny bubbles keep merging with it, each merger giving it a downward shove.

A gas bubble on an electrode is like a balloon that wants to fly away but is held by a string. In experiments with hydrogen on a platinum wire, a millimeter-sized bubble hung near the surface, even though by all calculations it should have detached long ago.

The key is that tiny bubbles are constantly being born next to the large one. When the big bubble tries to rise, it bumps into the little ones and merges with them. After each merger, the bubble jerks sharply downward. A single jerk is weak, but there are many of them.

By the time a bubble grows to a millimeter, it may experience up to a hundred thousand such jolts, each lasting less than a thousandth of a second.

Why does a merger push downward? When two bubbles of different sizes merge, their combined surface area shrinks, but unevenly: the liquid near the smaller bubble is slowed more strongly. This creates a short impulse directed toward the surface. Many such impulses add up to a steady force that balances the buoyancy of the water. Now that the mechanism is understood, engineers can control bubbles in electrolyzers by adjusting the current or the electrode surface, so that bubbles don't interfere with operation.

A millimeter-sized bubble held at the electrode can result from up to one hundred thousand coalescence events with microbubbles, each lasting less than a millisecond.

Controlling bubbles through cascade coalescence resembles science-fiction technologies where microscopic robots collectively hold macroscopic objects, though here the bubbles themselves play the role of the robots.

v_{m,0} = -\frac{3C_j}{2\pi}\frac{\mu}{\rho_l}\frac{R_s^2}{R_l^3}A(\lambda)
The initial velocity is directed toward the electrode and increases with the size asymmetry of the parent bubbles
F_{ret,coal} = J_v f_c \approx \chi \frac{3C_j \mu |I| R_g T_g}{8\pi F P_g R_s} A(\lambda)
The force is proportional to the current and inversely proportional to the microbubble radius
Concepts
energy cascade turbulent coagulation convection cosmic bubble nucleation surface tension bubble collision eddy evaporation fluid dynamics in porous media drag dust dynamics liquid turbulent mixing condensation elastic scattering carbon cycle gas accretion energy conservation cascade fluid flow