Poiseuille flow in curved spaces

J.-D. Debus, M. Mendoza, S. Succi, and H. J. Herrmann
Phys. Rev. E 93, 043316 – Published 18 April 2016

Abstract

We investigate Poiseuille channel flow through intrinsically curved media, equipped with localized metric perturbations. To this end, we study the flux of a fluid driven through the curved channel in dependence of the spatial deformation, characterized by the parameters of the metric perturbations (amplitude, range, and density). We find that the flux depends only on a specific combination of parameters, which we identify as the average metric perturbation, and derive a universal flux law for the Poiseuille flow. For the purpose of this study, we have improved and validated our recently developed lattice Boltzmann model in curved space by considerably reducing discrete lattice effects.

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  • Received 9 December 2015
  • Revised 23 March 2016

DOI:https://doi.org/10.1103/PhysRevE.93.043316

©2016 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

J.-D. Debus1,*, M. Mendoza1,†, S. Succi2,‡, and H. J. Herrmann1,§

  • 1ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Strasse 27, HIT, CH-8093 Zürich, Switzerland
  • 2Instituto per le Applicazioni del Calcolo C.N.R., Via dei Taurini, 19 00185, Rome, Italy

  • *Electronic address: debusj@ethz.ch
  • Electronic address: mmendoza@ethz.ch
  • Electronic address: succi@iac.cnr.it
  • §Electronic address: hjherrmann@ethz.ch

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Issue

Vol. 93, Iss. 4 — April 2016

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