Ye.A.Gayev, O.M.Berdnik Modelling of stabilized flow of viscous fluid in non-circular channels with easily permeable roughness |
Applied hydromechanics, Vol. 13 (85) ¹ 2, (2011) |
| Classical problem of pressure-driven internal viscous flow through a pipe with non-circular cross-section is generalised for presence of an easily penetrable roughness (EPR) near its walls. It means mathematically that in linear case Helmholtz equation with a discontinuous coefficient A(y,z) is solved instead of Poisson equation. Numerical solution is performed in MATLAB environment; m-functions are offered that express discontinuous coefficient through Boolean variables in complex domains. Elliptical, square and triangular cross-sections have been considered. Velocity distributions over cross-sections were obtained as well as resistance coefficients for pipes with EPR considered. Validation of solutions was tested for particular cases for which either results of other authors or analytical solutions are available. |
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KEY WORDS: three-dimensional cavities, laser anemometer, vortical structures |
| TEXT LANGUAGE: Russian |