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  • Investigation of nonlinear waves on a surface a magnetizing liquid of infinite depth

    The problem of the propagation of nonlinear surface waves in a magnetized liquid of infinite depth is solved. The dependence of the frequency of wave oscillations on the magnitude of the magnetic field strength is shown in the graphs. Trajectories of motion of particles of liquid are found. The effect of a magnetic field on the height of a wave is investigated. The results of the study can be used to calculate various technical devices and technological processes.

    Keywords: surface waves, magnetizable liquid, magnetic field, wave number, frequency of wave oscillation, magnetic field intensity

  • Numerical study of the propagation of nonlinear waves on the surface of a viscous liquid

    A nonlinear boundary value problem on the propagation of surface waves in a layer of viscous incompressible fluid of infinite depth is considered. Equations of motion and boundary conditions are written. The solution of the problem is found by the small parameter method. An expression for the damping decrement of the wave oscillations is obtained. The program code in C++ for the numerical study of the propagation of nonlinear waves on the surface of a viscous liquid is developed.

    Keywords: viscous liquid, slabowska fluid, nonlinear surface waves, the damping rate of waves, phase velocity, frequency wave

  • The study of nonlinear wave processes on the surface of the liquid in the electric field

    The dependence of the values characterizing the propagation of nonlinear waves on the surface of a liquid conductor on the electric field strength and on the wavelength is described. Electrohydrodynamic waves are investigated, namely, the motion of drops, convective motion of liquid, deformation of drops and bubbles in the applied electric field, propagation of surface waves in a linear approximation are considered. A mathematical model of nonlinear wave propagation on the charged surface of a liquid conductor is constructed. The graphs of the dependence of the wave oscillation frequency on the electric field strength and phase velocity on the wavelength are plotted.

    Keywords: nonlinear surface waves, liquid conductor, dielectric constant, phase velocity, magnetic field strength, surface charge

  • Investigation of the frequency of wave oscillations in a liquid layer on the porous foundation

    In work is considered numerical solution of a task about distribution superficial waves in a liquid layer on the porous basis. Expressions for the decrement of attenuation and frequency of fluctuations of a wave are written. Dependences of frequency of fluctuations of a wave on dimensionless sizes are shown. Various special cases are considered. The dispersive equation for the infinite thickness of a layer of the porous environment is written.

    Keywords: porous environment, frequency of fluctuations of a wave, decrement of attenuation of fluctuations of a wave, rhombohedral packing of balls of the porous environment