### Abstract:

In chapter 3 of our paper we present equations of motion for continuous mass
distribution subject to hydrodynamic forces in their most general form. We start
with equations for discrete mass particles and then transform the equations so
that it is appropriate for a continuous mass distribution. As we do that, new
forms of interactions are generated and we successfully include these interactions,
using the propagator theory, in the general form of our hydrodynamic equations for
continuous mass distributions. We also took a deeper mathematical description of
rotational flows. We were able to explain many physical phenomena successfully by
our treatment of rotational flows in a more concrete and simple way, for example,
the phenomenon of ripples that appear on ocean beaches and in desert sands.
In chapter 4 we study the behavior of water surfaces. A liquid drop of water
takes on a spherical shape because of the phenomenon of surface tension. A physical
model based on the arrangement which the water molecules have on the surface
is introduced to explain the above phenomenon. A mathematical model, as well as
the physical model mentioned above, is introduced to describe the kind of forces
involved on a wavy surface. The equations obtained describe the phenomenon of
surface tension on a microscopic level very successfully.
In chapter 5 we apply the results of chapters 3 and 4 to get an equation that
gives a critical dynamical value which govern the interactions between the moving
fluid and the dust particles residing on the ground.