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Numerical computations are carried out for incompressible non-self-similar turbulent and transition flows in awake, a jet, and a boundary layer; universal constants in the equation for the viscosity are refined.
      
A relationship is also derived between turbulent friction and the mean velocity profile on the basis of the equation for the maximum turbulent friction, which follows directly from the equation of motion.
      
In the boundary layer approximation a numerical calculation is made of the non-self-similar isobaric flow, using the equation for the turbulent viscosity [1] as the closing relationship.
      
Two types of flows, described by simplified equations, can be distinguished when certain constraints are imposed on the manner in which the electrical parameters vary along the coordinate lines and the terms of the equation correspondingly estimated.
      
The coefficients of the time-dependent power series for the velocity potential, the equation of the free surface, and the pressure on the solid are determined, allowing for all the terms in the Cauchy-Lagrange equation.
      
The equation enables one to calculate the intensity of concentration fluctuations at the edge of a turbulent flow for a completely turbulent fluid.
      
The method is based on the zonal linearization of the equation for mass conservation in the total flow between chosen surfaces or contour lines (lines of equal saturation or concentration).
      
The equation of radial cavity motion is obtained, where the gas in the cavity is subject to a polytropic law and surface tension is taken into account.
      
The equation of cavity motion is solved numerically for a number of values of the transverse viscosity coefficient.
      
In the second case, owing to radial symmetry, the equation for the problem goes over into an ordinary equation; however, the wetted boundary is not known beforehand.
      
Together with the continuity equation and the equation of motion, these relations form a system of equations of motion of the suspension that is in the general case not closed.
      
The equation of the average energy balance during fluid flow in a circular tube and a flat channel is solved taking account of the equation of motion and the turbulent friction profile obtained by the author [1].
      
As a rule, this effect is extremely weak and to take correct account of it requires that at the same time the compressibility of the fluid be taken into account in the equation of heat conduction.
      
On the basis of the equations for the Reynolds stresses and the equation for the scale of the turbulence, an analysis is made of the development of lattice turbulence in a stream with a constant velocity gradient.
      
For calculating flows with a variable velocity gradient, instead of the equation of the scale, it is proposed to use an equation for the frequency of the turbulent pulsations obtained in the present work.
      
Therefore, it is necessary to solve the equation of the energy balance in the solid phase simultaneously with the system of the equations of the boundary layer, i.e., the conjugate problem.
      
The equation for determining the preelectrode drop of the potential enters into the total system of boundary conditions.
      
The equation for heat flux in dimensionless variables was written inaccurately.
      
The equation of the motion of the boundary of the gas cavity is integrated numerically; here, the cases of pseudo-plastic and dilatant liquids are discussed separately.
      
The residual concentration at the outlet from the interplate gas is calculated using the equation of the conservation of mass for the solid component.
      
 

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