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the equation
In this expansion the equation for the first approximation remains nonlinear but admits of integration, which discloses the class of bounded periodic solutions.
      
Use of the equation for turbulent viscosity to describe the flow near a rough surface
      
The possibilities of applying a model using the equation for turbulent viscosity to close the problem [9] are analyzed in this paper in an example of a steady turbulent incompressible fluid flow in a circular pipe with rough walls.
      
Investigation of developed flow of an incompressible conductive fluid in a circular pipe by using the equation for the turbulent
      
The equation for the turbulent viscosity is used to investigate the developed flow of a conductive fluid in a longitudinal magnetic field.
      
Parameters characterizing the turbulence spectrum in the inertial interval enter into the equation in the role of unknown constants.
      
Accurate solutions of the equation are found, describing nonsteady transonic flows in plane nozzles; one of them describes the process of the establishment of a design cycle in Laval nozzles with immovable walls.
      
It is established that this process is conveniently described using the equation for the distribution of the probabilities of the temperature.
      
For liquids with a power-law rheological law the equation for the self-similar boundary layer is reduced to a first-order equation and two quadratures.
      
The set of solutions of the equation is studied on a two-sheet phase plane.
      
The problem of flow past bodies with a ruled surface connecting an n-ray star in the initial section with a circular midsection is solved in a linear formulation with the use of the equation for resistance obtained earlier by the author [1].
      
An equation for concentration pulsations is derived, and an approximation is given for the unknown correlations in the equation.
      
This paper is devoted to an investigation of the equation ut+ux+uux =uxxt+αuxx, which is a model equation for the problem of the nonsteady filtration of two immiscible liquids.
      
The equation is solved by a finite-difference method with a locally one-dimensional scheme.
      
A solution is obtained to the equation for the shape of a slender axisymmetric cavity in a heavy liquid.
      
The values of the flow parameters are determined by the numerical solution of a boundary-value problem for the equation of the velocity potential; this problem simulates the gas flow around the profile in the tunnel with porous walls.
      
Investigation of quasihomogeneous turbulent diffusion combustion using the equation for the probability density distribution fun
      
The system of the equations of gas dynamics and the equation of the conservation of the mass of component i have been integrated numerically by MacCormack's method.
      
The equation in similarity variables for the velocity of isothermal gas flow is reduced to an equation having cylindrical functions as solution.
      
The "equation of state" of the gas-dynamic flow is determined by the law of magnetization of the medium whose motion or equilibrium is associated with this flow.
      
 

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