FILTRATION FLOW IN A SATURATED POROUS MEDIUM UNDER THE PERIODIC INFLUENCE

Siraev R.R

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The subject of this work is a filtration in the channel filled with the saturated porous medium in the presence of a periodic flow rate. We considered the case when the external periodic action has a high frequency compared to the hydrodynamic times that allows applying the averaging procedure to the system. Averaged equations describe the drift that occurs on the background of an oscillating motion. The secondary motion is generated by vibrational force, which has the form of the term with porosity gradient. Based on these equations was analyzed filtration flow of fluid in a plane channel with a variable coefficient of porosity. The problem was solved analytically and it was found that the secondary flow can occur even in the absence of a fixed difference of pressure. Significant influence on the formation and intensity of averaged flow has the porosity gradient and permeability of the medium, the amplitude and frequency of the periodic external influence.

Библиографическая ссылка

Сираев Р.Р ФИЛЬТРАЦИОННОЕ ТЕЧЕНИЕ В НАСЫЩЕННОЙ ПОРИСТОЙ СРЕДЕ ПОД ВЛИЯНИЕМ ПЕРИОДИЧЕСКОГО ВОЗДЕЙСТВИЯ // Научное обозрение. Физико-математические науки . 2020. № 1. С. 53-54;
URL: https://physics-mathematics.ru/en/article/view?id=74 (дата обращения: 24.06.2026).