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Direct numerical simulation of flow in a flat channel with a rectangular step based on the nonstationary Navier-Stokes equations

D. P. NavruzovInstitute of Mechanics and Earthquake Stability of Structures of the Academy of Sciences of the Republic of Uzbekistan, Tashkent, UzbekistanMurodil MadalievInstitute of Mechanics and Earthquake Stability of Structures of the Academy of Sciences of the Republic of Uzbekistan, Tashkent, UzbekistanT. R. PulatovTurin Polytechnic University, Tashkent, UzbekistanSanjar JuraevTashkent State Technical University, Tashkent, UzbekistanS. A. BoltayevBukhara branch Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent, Uzbekistan
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Аннотация

A numerical study of the flow structure in a flat channel in a zone with a rectangular step is presented. The calculations are based on the complete system of nonstationary Navier-Stokes equations in the velocity-pressure variables by the differential settling method. The two-step implicit Peaceman -Rachford scheme is used for the numerical solution of the Navier-Stokes equations. As a result, the velocity and pressure fields are investigated, the vortex structure of the circulation flow in the region behind the step is studied, and the length of this zone is determined depending on the Reynolds number and the coefficient of friction on the channel wall.

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