Applied mathematics

On two limiting cases of flow below Joukowski’s cutoff wall

E. N. Bereslavskii, E. V. Pesterev

St. Petersburg State Civil Aviation University, 38, Pilots street, St. Petersburg, 196210, Russian Federation

Abstract: Two schemes of fluid flow under the rabbet of Zhukovsky is considered. Filtering is flat and steady, and the fluid flow satisfy Darcy's law. The movement occurs through an array of ground underlain by permeable or impermeable base pressure aquifer. To study these schemes mixed boundary value problem of the theory of analytic functions are formulated. It is solved by means of application of a method of P. J. Polubarinova-Kochina. The algorithms for calculating the saturated zone in case when taken into account the simultaneous effect on the course of the following factors: backwater from the impermeable base or underlying well-permeable aquifer, evaporation or infiltration at the free surface groundwater and the capillary of ground. Refs 14. Figs 6. Tables 4.

Keywords: filtering, rabbet of Zhukovsky, ground water, artesian horizon aquitard, evaporation, infiltration, loose surface soil capillarity, integrated flow velocity, conformal mapping method Polubarinova-Kochina.

UDC: 532.546

Received: April 30, 2015

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