A novel similarity transformation for the boundary layer equations: Solution of boundary layer flows subjected to exponential outer velocity profiles

Karabelas, SJ

dc.contributor.author	Karabelas, SJ	en
dc.date.accessioned	2014-03-01T02:01:39Z
dc.date.available	2014-03-01T02:01:39Z
dc.date.issued	2011	en
dc.identifier.issn	00218936	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29223
dc.subject	Blasius equation	en
dc.subject	boundary layer	en
dc.subject	exponential profile	en
dc.subject	Navier-Stokes	en
dc.subject	similar solutions	en
dc.subject.other	Adverse pressure gradient	en
dc.subject.other	Blasius equation	en
dc.subject.other	Boundary layer equations	en
dc.subject.other	exponential profile	en
dc.subject.other	Falkner-Skan	en
dc.subject.other	Navier Stokes	en
dc.subject.other	Physical interpretation	en
dc.subject.other	Power-law	en
dc.subject.other	Similar solution	en
dc.subject.other	Similarity transformation	en
dc.subject.other	Velocity profiles	en
dc.subject.other	Boundary layer flow	en
dc.subject.other	Navier Stokes equations	en
dc.subject.other	Laminar boundary layer	en
dc.title	A novel similarity transformation for the boundary layer equations: Solution of boundary layer flows subjected to exponential outer velocity profiles	en
heal.type	journalArticle	en
heal.identifier.primary	10.1115/1.4003770	en
heal.identifier.secondary	http://dx.doi.org/10.1115/1.4003770	en
heal.identifier.secondary	041012	en
heal.publicationDate	2011	en
heal.abstract	A new similarity transformation applies to the boundary layer equations, which govern laminar, steady, and incompressible flows. This transformation is proved to be more consistent and more complete than the well known Falkner-Skan transformation. It applies to laminar, incompressible, and steady boundary layer flows with a power-law ue (x) =c xm or exponential profile ue (x) =c emx of the outer velocity. This family of ""similar solutions"" is resolved for various values of the exponent m. A physical interpretation of these velocity profiles is presented, and conclusions are drawn regarding the tolerance of these boundary layers to flow separation under an adverse pressure gradient. © 2011 American Society of Mechanical Engineers.	en
heal.journalName	Journal of Applied Mechanics, Transactions ASME	en
dc.identifier.doi	10.1115/1.4003770	en
dc.identifier.volume	78	en
dc.identifier.issue	4	en