Mathematical model of the viscous fluid motion caused by the oscillation of a flat porous surface

Авторы: Taktarov N.G., Runova O.A., Khramova N.A.
Журнал: ARPN Journal of Engineering and Applied Sciences
Том: 13
Номер: 24
Год издания: 2018
Первая страница: 9715
Последняя страница: 9721
Аннотация: ABSTRACT This paper proposes and studies a mathematical model of the motion of a viscous fluid caused by the oscillation of a plane porous surface. The motion of liquid inside and outside of a porous medium is considered in a fixed coordinate system. The porous medium performs harmonic translational-oscillatory motion parallel to an impenetrable flat surface, which limits the porous medium from below and moves with its velocity. Exact analytical solutions of the nonstationary Brinkman equation describing the motion of a liquid in a porous medium and the Navier-Stokes equation describing the motion of a liquid outside of a porous medium are found. A numerical analysis of the proposed mathematical model is carried out. The profiles of filtration rates in a porous medium and free liquid are constructed for different values of the model parameters. It is shown that, in special cases, the previously obtained solutions of problems of the motion of a viscous fluid caused by the vibration of a solid impermeable flat surface follow from the results obtained.
Добавил в систему: Тактаров Николай Григорьевич

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