Confinement-induced proliferation of vortices around marine invertebrate larvae

The ocean is teeming with a myriad of invertebrate planktonic larvae, which thrive in a viscous fluid environment. Many of them rely on ciliary beating to generate fluid flows for locomotion and feeding. Their forms, local morphologies, and ciliation patterns exhibit remarkable diversity, producing intricate and dynamic three-dimensional flows that are notoriously difficult to characterize in laboratory settings. Traditional microscopic imaging techniques typically involve gently squeeze-confining the soft larvae between a glass slide and cover slip, to study their flows in quasi-two-dimensions. However, a comprehensive hydrodynamic framework for the low-to-intermediate Reynolds number flows at the larval scale in quasi-2D confinement - particularly in light of their complex forms - has remained elusive. Here, we demonstrate that vortices around larvae proliferate with increasing confinement, and elucidate the underlying physical mechanism. We experimentally quantify confinement-induced flows in larvae of sea stars and sea urchins. The flows exhibited strikingly universal patterns: under weak confinement, all larvae generated two vortices, whereas under strong confinement, multiple vortices appeared. The experimental observations were well captured by a low Reynolds number theoretical model based on superposition of confined Stokeslets. Building on experiments and theory, we developed a comprehensive framework for confinement-induced larval flows, which suggests that the vorticity dynamics are primarily determined by local morphological features, rather than the larval forms. Our work provides fundamental insights into the form-functional relationships between larval morphology and flow generation. Our findings are broadly applicable to understanding fluid flows generated by a wide range of ciliated organisms with complex forms and morphologies, from micro- to milli-length-scales.
Comment: 26 pages, 3 main figures, 5 extended data figures. (First two authors contributed equally)