dc.contributor.author Hoffman, J. dc.contributor.author Jansson, J. dc.contributor.author Claes, J. dc.date.accessioned 2016-06-19T18:32:16Z dc.date.available 2016-06-19T18:32:16Z dc.date.issued 2016-01-01 dc.identifier.issn 1422-6928 dc.identifier.uri http://hdl.handle.net/20.500.11824/285 dc.description.abstract We present a new mathematical theory explaining the fluid mechanics of subsonic flight, which is fundamentally different from the existing boundary layer-circulation theory by Prandtl–Kutta–Zhukovsky formed 100 year ago. The new theory is based on our new resolution of d’Alembert’s paradox showing that slightly viscous bluff body flow can be viewed as zero-drag/lift potential flow modified by 3d rotational slip separation arising from a specific separation instability of potential flow, into turbulent flow with nonzero drag/lift. For a wing this separation mechanism maintains the large lift of potential flow generated at the leading edge at the price of small drag, resulting in a lift to drag quotient of size 15–20 for a small propeller plane at cruising speed with Reynolds number $Re \approx 10^7$ and a jumbojet at take-off and landing with $Re \approx 10^8$, which allows flight at affordable power. The new mathematical theory is supported by computed turbulent solutions of the Navier–Stokes equations with a slip boundary condition as a model of observed small skin friction of a turbulent boundary layer always arising for $Re > 10^6$, in close accordance with experimental observations over the entire range of angle of attacks including stall using a few millions of mesh points for a full wing-body configuration. en_US dc.format application/pdf dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject Flight en_US dc.subject lift theory en_US dc.subject d’Alembert’s paradox en_US dc.title New Theory of Flight en_US dc.type info:eu-repo/semantics/article en_US dc.provenance scopus dc.identifier.doi 10.1007/s00021-015-0220-y dc.relation.publisherversion http://link.springer.com/article/10.1007%2Fs00021-015-0220-y dc.relation.projectID ES/1PE/SEV-2013-0323 en_US dc.relation.projectID ES/1PE/MTM2013-40824-P en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/acceptedVersion en_US dc.journal.title Journal of Mathematical Fluid Mechanics en_US
﻿

### This item appears in the following Collection(s)

Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España