title: Poiseuille flow in curved spaces.
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.
authors.affiliation: ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Strasse 27, HIT, CH-8093 Zürich, Switzerland.
authors.forename: J-D
authors.initials: JD
authors.lastname: Debus
authors.affiliation: ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Strasse 27, HIT, CH-8093 Zürich, Switzerland.
authors.forename: M
authors.initials: M
authors.lastname: Mendoza
authors.affiliation: Instituto per le Applicazioni del Calcolo C.N.R., Via dei Taurini, 19 00185, Rome, Italy.
authors.forename: S
authors.initials: S
authors.lastname: Succi
authors.affiliation: ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Strasse 27, HIT, CH-8093 Zürich, Switzerland.
authors.forename: H J
authors.initials: HJ
authors.lastname: Herrmann