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Curvilinear Flow Profiles Based on Reynolds Averaging
Authors:Sujit K Bose  Subhasish Dey
Affiliation:1Visiting Fellow, Center for Theoretical Studies, Indian Institute of Technology, Kharagpur 721302, West Bengal, India.
2Professor, Dept. of Civil Engineering, Indian Institute of Technology, Kharagpur 721302, West Bengal, India. E-mail: sdey@iitkgp.ac.in
Abstract:A new theoretical approach is presented for the derivation of free surface profiles of two-dimensional steady and unsteady flows by solving the Reynolds-averaged Navier-Stokes equations applied to the turbulent flow regime. This approach enables us to compute the steady and unsteady curvilinear flows having small curvatures, such as free overfall and constant velocity surge. In addition, the applications of the theory to the second-order waves are illustrated through the problems of small height bore and second-order tide.
Keywords:Open channel flow  Stream flow  Flow profiles  Turbulent flow  Nonuniform flow  Hydraulics  
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