| Autor: |
Shiryaeva , Elena V., Zhukov , Michael Yu., Vasiliev, Andrew V. |
| Jazyk: |
ruština |
| Rok vydání: |
2019 |
| Předmět: |
|
| DOI: |
10.23683/0321-3005-2019-3-4-14 |
| Popis: |
On the basis of general equations of fluid motion the asymptotic model of two-layer spatially one-dimensional sta-tionary turbulent flow of viscous incompressible fluid in the region infinite in the horizontal direction is constructed. The coefficient wich is characterized scales in the vertical and horizontal directions is used as a small parameter in the construction of the principal terms of asymptotic expansions. The kinematic turbulent viscosity is defined as piecewise smooth-constant in the top layer and dependent on the coordinates in the bottom layer. In addition, we as-sume that viscosity is zero at the outer boundary of the top layer. A feature of the model is the rejection of the non-slip boundary condition at the lower boundary of the bottom layer. It is shown that in the vicinity of the lower boundary there are near-wall vortices in those parts of boundary that correspond to the non-straight fragments with negative curvature. The quasi-stationary process of the passive impurity suspended sedimentation is investigated in this sta-tionary flow. The fluid flow profiles are determined analytically, and for the numerical solution of the sedimentation problem in the gravity, the finite element method is used, that allow us effectively to solve the problems with piecewise smooth coefficients. The structure of the analytical constructed solution for the fluid flow allows us to easily use the classical version of the non-slip boundary conditions at the lower boundary or its fragments. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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