The semitheoretical function of Nezu and Nakagawa (1993, Turbulence in Open-Channel Flows, A. A. Balkema, ed., Rotterdam, The Netherlands) for the turbulent kinetic energy is valid only where local equilibrium is a good approximation. From an estimation of the difference between the energy production and its dissipation , we present in this study an analytical solution for the modeled equation. Comparisons with direct numerical simulation data of turbulent channel flows show good agreement. A universal function for is deducted for .
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Analytical Solutions for the Modeled Equation
Absi, R. (May 13, 2008). "Analytical Solutions for the Modeled Equation." ASME. J. Appl. Mech. July 2008; 75(4): 044501. https://doi.org/10.1115/1.2912722
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