Analytical Solution of Turbulent Boundary Layer Flow over a Flat Plate atHigh Reynolds No.

This paper studies similarity solution of the turbulent boundary layer on the flat plate with zero pressure gradients.The governing partial differential equations have been transformed to ordinary ones with inconsistent coefficientsusing similarity variables. Employing Runge–Kutta–Fehlberg scheme, the obtained equation has been solvednumerically and friction coefficient has been calculated which is in best agreement with experimental outcomes. Thenovelty of this study was to present two independent equations to calculate the friction coefficient and thickness ofthe turbulent boundary layer. Moreover, the presented equations are accurate at higher values of Reynolds number,however, previous models are week at this region.

Keywords:

Navier-Stockes Equations , Similarity Solution , Flat Plate , Turbulent Flow , Turbulence Models