A novel analytical Solution of Turbulent Boundary Layer Flow at high range of Reynolds No. Over a Flat Plate with absence pressure gradient.
Subject Areas : Statisticsmohammad hosein kaffash 1 , Davood Domiri Ganji 2 , Mohammad hassan Nobakhti 3
1 - Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 - Mechanical Engineering Department, Babol University of Technology, Babol, Iran
3 - Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Keywords: حل تشابهی, صفحه تخت, رانج-کوتا, ضریب اصطکاک پوسته ایی, لایه مرزی آشفته,
Abstract :
This paper studies a novel similarity solution of turbulent boundary layer (S.S.T.BL) on the flat plate with absence of pressure gradient (A.P.G). At first, the governing equations of motion (Continuum and momentum) with Specified boundary conditions (B.C) were written and then, governing partial differential equations (PDEs) have been transformed to high order non-linear ordinary differential equations (ODE) with inconsistent coefficients using similarity variables. Employing Rung-Kutta-Fehlberg and shooting method for high range of Reynolds number (Re), the obtained equation has been solved numerically and distribution of velocity, friction coefficient (Cf) , thickness of the turbulent boundary layer (Delta/x) are calculated which is in best agreement with experimental outcomes. The novelty of this study was to present two independent equations to calculate the friction coefficient and thickness of the turbulent boundary layer. Moreover, the presented equations are accurate at higher values of Reynolds number, however, previous models are week at this region.
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