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COBEM 2017
24th ABCM International Congress of Mechanical Engineering
A similarity law for transpired turbulent flows
Submission Author:
Mateus Carvalho Guimaraes , RJ , Brazil
Co-Authors:
Mateus Carvalho Guimaraes, Daniel Onofre Almeida Cruz, Atila Pantaleão Silva Freire
Presenter: Mateus Carvalho Guimaraes
doi://10.26678/ABCM.COBEM2017.COB17-0804
Abstract
In this work a new expression for the characteristic velocity scale of transpired turbulent flows is derived. When scaled with the new velocity scale, experimental and DNS mean velocity profiles from several databases collapse onto one single curve in the near wall region, suggesting that similarity is possible when the proper scaling parameters are used. A new law of the wall that contain the classical logarithmic law of the wall as a particular case is proposed. Contrasting with the classical formulations, the new law of the wall has a power law functional form and all free parameters are constants independent of the transpiration rate.
Keywords
Turbulence, transpiration at the wall, Scaling law
