Abstract
In this paper, using Navier-Stokes equations and Reynolds time-averaged rules, the turbulent motional differential equations of variable density and variable viscosity Newtonian fluid have been presented, and the turbulent motional differential equations of variable density and variable viscosity Newtonian fluid in open channel have been further proposed. The concepts of the density turbulence stress and the viscosity turbulence stress have been firstly presented in the paper.
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References
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Xiao Tianduo, Hydrodynamic equations for aerated trubulent water motion and application to open channel flow, Journal of Hydraulic Engineering, 5 (1963). (in Chinese)
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Communicated by Kang Zhenhuang
Zheng Yonggang. The Study of Drag Reduction Characteristic by Aeration in Pipe and Open Channel, and the Experimental Research of Transition to Turbulence in Pipe Flow, Postdoctoral Research Report in Sichuan Union University, May, 1995.
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Yonggang, Z., Duo, F. & Guifen, L. Basic equations of turbulent flow for variable density and variable viscosity Newtonian fluid in open channel. Appl Math Mech 18, 883–890 (1997). https://doi.org/10.1007/BF00133347
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DOI: https://doi.org/10.1007/BF00133347