A Novel Similarity Solution of Turbulent Boundary Layer Flow over a Flat Plate


1 Department of Mechanical Engineering, Islamic Azad University, Neyshabour Branch

2 Department of Mechanical Engineering, Institute of Energy & Hydro Technology (IEHT)


In this paper, the similarity solution of turbulent boundary layer flow on the flat plate with zero pressure gradients is presented. By employing similarity variables the governing partial differential equations are transformed to ordinary ones with inconsistent coefficients and solved numerically with the use of Runge–Kutta and shooting methods in conjunction with trial and error procedure. For a large domain of Reynolds number, the distribution of velocity, friction coefficient and thickness of boundary layer are calculated and compared with the experimental results extracted from the literature, where a good agreement between them are observed. The novelty of this study is to propose two new relations for the friction coefficient and thickness of the boundary layer.