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Egereva E.N.,Evsevev State Pedagogical Institute | Runova O.A.,Evsevev State Pedagogical Institute | Taktarov N.G.,Evsevev State Pedagogical Institute
Fluid Dynamics | Year: 2015

A mathematical model of the propagation and instability of waves on the surface of an infinite-length cylindrical magnetic Liquid column that surrounds a coaxially situated long porous core of circular cross-section is formulated and investigated. Conditions are found for the perturbations of the liquid column surface to become unstable and to lead to its disintegration into a chain of connected drops. It is shown that the length of these drops increases with magnetic field. © 2015, Pleiades Publishing, Ltd.


Runova O.A.,Evsevev State Pedagogical Institute | Taktarov N.G.,Evsevev State Pedagogical Institute
Fluid Dynamics | Year: 2015

A mathematical model of instability and disintegration of a gas jet in a magnetic fluid in an external magnetic field directed along the jet axis is formulated and investigated. Conditions under which jet surface perturbations become unstable and lead to disintegration of the jet into individual gas bubbles are found. It is shown that the dimensions of the bubbles developed increase with strengthening of the magnetic field, while the bubble growth rate and the appearance frequency decrease. The problem is of interest in connection with studying the magnetic liquid boiling. © 2015, Pleiades Publishing, Ltd.


Taktarov N.G.,Evsevev State Pedagogical Institute
Fluid Dynamics | Year: 2016

Viscous fluid flow induced by rotational-oscillatorymotion of a porous sphere submerged in the fluid is determined. The Darcy formula for the viscous medium drag is supplementedwith a term that allows for the medium motion. The medium motion is also included in the boundary conditions. Exact analytical solutions are obtained for the time-dependent Brinkman equation in the region inside the sphere and for the Navier–Stokes equations outside the body. The existence of internal transverse waves in the fluid is shown; in these waves the velocity is perpendicular to the wave propagation direction. The waves are standing inside the sphere and traveling outside of it. The particular cases of low and high oscillation frequencies are considered. © 2016, Pleiades Publishing, Ltd.

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