The mathematical theory of flight
2009 (English)In: Normat, ISSN 0801-3500, Vol. 57, 145-169 p.Article in journal (Refereed) Published
We show by computational solution of the incompressible Navier-Stokes equations with friction force boundary conditions, that the classical inviscid circulation theory by Kutta-Zhukovsky for lift of a wing and laminar viscous boundary layer theory by Prandtl for drag, which have dominated 20th century flight mechanics, do not correctly describe the real turbulent airflow around a wing. We show that lift and drag essentially originate from a turbulent wake of counter-rotating rolls of low-pressure streamwise vorticity generated by a certain instability mechanism of potential flow at rear separation. The new theory opens the possibility of computational prediction of flight characteristics of an airplane using millions of meshpoints without resolving thin boundary layers, instead of the imposssible quadrillions required according to state-of-the-art for boundary layer resolution.
Place, publisher, year, edition, pages
2009. Vol. 57, 145-169 p.
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-58710OAI: oai:DiVA.org:kth-58710DiVA: diva2:473830
QC 201201162012-01-072012-01-072012-01-16Bibliographically approved