The calculation of mechanical energy loss of flow in open channel is an important part both in hydraulic and fluid mechanics. In this paper the mechanical energy loss is obtained based on the viscous fluid model and the equation of total flow of constant homogeneous incompressible fluid in open channel. The constitutions of mechanical energy loss and their mutual transformation are revealed. Result shows that the mechanical energy loss are resulted from time-averaged velocity gradient and dissipation of turbulent kinetic energy. When the Reynolds number is small, the time-averaged velocity gradient is the main cause of mechanical energy loss; whereas when the Reynolds number is large, the dissipation of turbulent kinetic energy is a major contributor. In conclusion, in shallow and wide open shallow with a Reynolds number of 9.5×103, the mechanical loss caused by time-averaged velocity gradient is equal to that caused by kinetic energy dissipation.
Key words
rectangular open channels /
uniform steady flow /
constitution of mechanical energy loss /
fluid mechanics /
dissipation of kinetic energy /
time-averaged velocity gradient
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References
MYERS W R C. Flow Resistance in Wide Rectangular Channels. Journal of the Hydraulic Division, 1982, 108(4): 471-482.
KNIGHT D W, DEMETRIOU J D, HAMED M E. Boundary Shear in Smooth Rectangular Channels. Journal of Hydraulic Engineering, 1984, 110(4): 405-422.
杨 岑,路泽生,栾维功,等.矩形渠道人工加糙壁面阻力规律试验研究.长江科学院院报, 2011,28(1):34-38.
董贵明,束龙仓,田 娟,等.矩形明渠二维恒定均匀层流断面流速分布及阻力研究.水力发电学报, 2010,29(6):95-99.
窦国仁.明渠和管道中层流和紊流的总规律.中国科学(A辑数学物理学天文学技术科学),1982,(5):472-480.
张志昌, 赵 莹. 矩形明渠水跃段沿程和局部水头损失的计算. 水力发电学报, 2015,34(11):88-93.
LIU Shi-he, XUE Jiao, FAN Min. On the Calculation of Mechanical Energy Loss for Steady Pipe Flow of Homogenous Incompressible Fluid.Journal of Hydrodynamics, Series B, 2013, 25(6):912-918.
LIU Shi-he, FAN Min, XUE Jiao. The Mechanical Energy Equation for Total Flow in Open Channels. Journal of Hydrodynamics, Series B, 2014, 26(3): 416-423.
刘士和,刘 江,罗秋实,等.工程湍流. 北京:科学出版社,2011.