Energy dissipation in flows through curved spaces

  title={Energy dissipation in flows through curved spaces},
  author={Jens-Daniel Debus and Miller Mendoza and Sauro Succi and Hans J. Herrmann},
  journal={Scientific Reports},
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… 

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  • M. ArroyoA. DeSimone
  • Biology
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2009
A continuum model which includes a form of the governing equations for a two-dimensional viscous fluid moving on a curved, time-evolving surface concludes that membrane viscosity plays a dominant role in the relaxation dynamics of fluid membranes of sizes comparable to those found in eukaryotic cells.

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