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The role of surface tension gradients in the apparent viscosity of liquidfoams remains largely unexplained. In this article, we develop a toy-modelbased on a periodic array of 2D hexagonal bubbles, each bubble being separatedfrom its neighbors by a liquid film of uniform thickness. The two interfaces ofthis thin liquid film are allowed to slide relatively to each other, thusshearing the liquid phase in between. We solve the dynamics under externalshear of this minimal system and we show that the continuity of the surfacetension around the whole bubble is the relevant condition to determine thebubble rotation rate and the energy dissipation. This result is expected to berobust in more complex situations and illustrates that thin film dynamicsshould be solve at the scale of the whole bubble interface when interfacerheology matters.

Marangoni stress induced by rotation frustration in a liquid foam