Study of total flow control equations and energy loss characteristics of steady turbulent flow in open channel

To deepen the understanding of the total flow control equations for open channel flow and explore the composition and distribution characteristics of the total flow energy loss, through theoretical analysis, the total flow integral and differential model control equations describing the general characteristics of steady turbulent flow in open channel were constructed in the framework of viscous fluid mechanics theory. The model parameters can be obtained directly from the distribution of flow statistical characteristics on the flow section, thus achieving the unification of the descriptions of flow fields characteristics and total flows of turbulent flow in open channels. Besides, an explicit expression for the total flow energy loss is provided. Meanwhile, the total flow energy loss consists of viscous dissipation and maintenance of turbulence as two parts. In the composition of classified energy loss in steady uniform turbulence flow in a rectangular open channel, it is dominated by viscous dissipation part on the wall. With the increase in the distance away from the wall, the energy loss density of the part of maintaining turbulence increases rapidly, and the speed increases with the increase in the Reynolds number.