We have numerically solved the set of time-dependent nonlinear equations, which describes motion of an inﬁnitely thin plate oscillating in incompressible viscid ﬂuid. The solution was obtained in the form of oscillation velocity ﬁeld in the viscid wave. It is a function of the dimensionless length l and the dimensionless oscillation displacement a of the plate. We have plotted trajectories of the ﬂuid particle motion in such a ﬁeld. It has been shown that they diﬀer from the straight lines normal to the direction of propagation. Such lines are peculiar to the idealized (linear) transverse viscid waves. There appeared a horizontal component of the oscillation speed of the ﬂuid particle. The value of horizontal component depends on a. We have qualitatively analyzed characteristic features of the propagation velocity of viscid wave, excited by a ﬁnite plate.
|Translated title of the contribution||PROPERTIES OF THE INHOMOGENEOUS VISCOUS WAVES EXCITED BY A PLATE OF ﬁNITE SIZE|
|Journal||УЧЕНЫЕ ЗАПИСКИ ФИЗИЧЕСКОГО ФАКУЛЬТЕТА МОСКОВСКОГО УНИВЕРСИТЕТА|
|State||Published - 2017|