Minimization Principle for Analytical Solution of Turbulent Flow in Channel

Abstract The analytical solution for turbulent flow in a channel, presented in Fedoseyev (2023), described the mean turbulent flow velocity as a superposition of the parabolic and superexponential solutions. In this study, the coefficients of superposition are obtained through the minimization principle, the principle of minimum viscous dissipation. The laminar flow showed a significantly larger dissipation rate. The obtained analytical solutions agreed well with turbulent flow experiments.