Yg. Zheng et al., BASIC EQUATIONS OF TURBULENT-FLOW FOR VARIABLE-DENSITY AND VARIABLE VISCOSITY NEWTONIAN FLUID IN OPEN-CHANNEL, Applied mathematics and mechanics, 18(9), 1997, pp. 883-890
In this paper, using Navier-Stokes equations and Reynolds time-average
d rules, the turbulent motional differential equations of variable den
sity and variable viscosity Newtonian fluid have been presented, and t
he turbulent motional differential equations of variable density and v
ariable viscosity Newtonian fluid in open channel have been further pr
oposed. The concepts of the density turbulence stress and the viscosit
y turbulence stress have been firstly presented in the paper.