6533b82cfe1ef96bd128ec47

RESEARCH PRODUCT

High Reynolds number Navier-Stokes solutions and boundary layer separation induced by a rectilinear vortex array

Vincenzo SciaccaFrancesco GarganoMarco SammartinoG. Della Rocca

subject

PhysicsPrandtl numberMathematical analysisMathematics::Analysis of PDEsReynolds numberNon-dimensionalization and scaling of the Navier–Stokes equationsunsteady separationReynolds equationPhysics::Fluid DynamicsFlow separationsymbols.namesakeBoundary layerPrandtl equation interactive viscous–inviscid equation.Navier Stokes solutionsymbolszero viscosity limitNavier–Stokes equationsReynolds-averaged Navier–Stokes equationsSettore MAT/07 - Fisica Matematica

description

Numerical solutions of Prandtl’s equation and Navier Stokes equations are considered for the two dimensional flow induced by an array of periodic rec- tilinear vortices interacting with an infinite plane. We show how this initial datum develops a separation singularity for Prandtl equation. We investigate the asymptotic validity of boundary layer theory considering numerical solu- tions for the full Navier Stokes equations at high Reynolds numbers.

yearjournalcountryeditionlanguage
2008-04-01
http://hdl.handle.net/10447/40214