caa a22 4500 530098369 20181217030326.0 cr unu---uuuuu 181026e20170214xx s 000 0 eng 10.3929/ethz-b-000128828 doi 10.1038/srep42350 doi (ETHRESEARCH)oai:www.research-collection.ethz.ch:20.500.11850/128828 Energy dissipation in flows through curved spaces [Elektronische Daten] [Jens-Daniel Debus, Miller Mendoza, Sauro Succi, Hans J. Herrmann] Sci Rep Open access ethresearch Fluid dynamics in intrinsically curved geometries is encountered in many physical systems in nature, ranging from microscopic bio-membranes all the way up to general relativity at cosmological scales. Despite the diversity of applications, all of these systems share a common feature: the free motion of particles is affected by inertial forces originating from the curvature of the embedding space. Here we reveal a fundamental process underlying fluid dynamics in curved spaces: the free motion of fluids, in the complete absence of solid walls or obstacles, exhibits loss of energy due exclusively to the intrinsic curvature of space. We find that local sources of curvature generate viscous stresses as a result of the inertial forces. The curvature- induced viscous forces are shown to cause hitherto unnoticed and yet appreciable energy dissipation, which might play a significant role for a variety of physical systems involving fluid dynamics in curved spaces. Creative Commons Attribution 4.0 International http://creativecommons.org/licenses/by/4.0 ethresearch Cosmology ethresearch Fluid dynamics ethresearch Membrane structure and assembly ethresearch Surfaces, interfaces and thin films ethresearch Debus Jens-Daniel joint author Mendoza Miller joint author Succi Sauro joint author Herrmann Hans J. joint author Scientific Reports London : Nature Publishing Group 7, p. 42350 2045-2322 http://hdl.handle.net/20.500.11850/128828 text/html WWW-Backlink auf das Repository (Open access) 1 Journal Article ethresearch ETHRESEARCH 856 40 http://hdl.handle.net/20.500.11850/128828 text/html WWW-Backlink auf das Repository (Open access) ETHRESEARCH 700 1- Debus Jens-Daniel joint author ETHRESEARCH 700 1- Mendoza Miller joint author ETHRESEARCH 700 1- Succi Sauro joint author ETHRESEARCH 700 1- Herrmann Hans J. joint author ETHRESEARCH 773 0- Scientific Reports London : Nature Publishing Group 7, p. 42350 2045-2322 BK010053 XK010053 XK010000 ETHRESEARCH ETHRESEARCH ETHRESEARCH Journal Article Open access