Journal•ISSN: 0021-8944

# Journal of Applied Mechanics and Technical Physics

Springer Science+Business Media

About: Journal of Applied Mechanics and Technical Physics is an academic journal published by Springer Science+Business Media. The journal publishes majorly in the area(s): Shock wave & Boundary layer. It has an ISSN identifier of 0021-8944. Over the lifetime, 8342 publications have been published receiving 31053 citations.

##### Papers published on a yearly basis

##### Papers

More filters

••

TL;DR: In this article, the stability of steady nonlinear waves on the surface of an infinitely deep fluid with a free surface was studied. And the authors considered the problem of stability of surface waves as part of the more general problem of nonlinear wave in media with dispersion.

Abstract: We study the stability of steady nonlinear waves on the surface of an infinitely deep fluid [1, 2]. In section 1, the equations of hydrodynamics for an ideal fluid with a free surface are transformed to canonical variables: the shape of the surface η(r, t) and the hydrodynamic potential ψ(r, t) at the surface are expressed in terms of these variables. By introducing canonical variables, we can consider the problem of the stability of surface waves as part of the more general problem of nonlinear waves in media with dispersion [3,4]. The resuits of the rest of the paper are also easily applicable to the general case.

2,425 citations

••

TL;DR: In this article, the problem of nonstationary, nonlinear perturbations in one-dimensional granular media is stated on the basis of the wellknown interaction between neighboring granules.

Abstract: The study of mechanics of a granular medium is of substantial interest, both scientifically and for the solution of applied problems. Such materials are, for example, good buffers for shock loads. Their, study is important for the development of processes of the pulse deformation of several porous materials. A review of studies of small deformations and elastic wave propagation in these media was carried out in [i] on the basis of discrete models. The structure of a stationary shock wave was analyzed in [2] as a function of its amplitude. i. Statement of the Problem. The problem of nonstationary, nonlinear perturbations in one-dimensional granular media is stated in the present paper on the basis of the wellknown interaction between neighboring granules. As an interaction law we choose the Hertz law [3]

389 citations

••

203 citations

••

TL;DR: In the theory of weak turbulence nonlinearity of waves is assumed to be small; this enables us, using the hypothesis of the random nature of the phases of individual waves, to obtain the kinetic equation for the mean squares of the wave aplitudes.

Abstract: In recent years the theory of weak turbulence, i.e. the stochastic theory of nonlinear waves [I, 9], has been intensively developed. In the theory of weak turbulence nonlinearity of waves is assumed to be small; this enables us, using the hypothesis of the random nature of the phases of individual waves, to obtain the kinetic equation for the mean squares of the wave aplitudes.

195 citations

••

TL;DR: In this paper, an exact solution for the equations for free convection in a planar horizontal layer of liquid with a constant temperature gradient at the boundaries is found for two cases of boundary conditions for the velocity: 1) the liquid is bounded by two solid planes, 2) the upper surface of the liquid was free, and the surface tension is a function of temperature.

Abstract: An exact solution is found for the equations for free convection in a planar horizontal layer of liquid with a constant temperature gradient at the boundaries. Two cases of boundary conditions for the velocity are considered: 1) the liquid is bounded by two solid planes, 2) the upper surface of the liquid is free, and the surface tension is a function of temperature.

194 citations