A NEW MODEL OF ELEMENTARY ANTI-FOG LATTICE. QUANTITATIVE ANALYSIS OF ITS MAIN PROPERTIES

In the present work, a new model of an elementary anti-fog lattice is formulated. An exact analytical
solution for the electric field of a rectangular flat plate is obtained in terms of elementary functions with
using of superposition principle. The problem of induced dipole moment determining for a water drop
has been solved. It is shown that this parameter is proportional to the external electric field and the
valume of the droplet. The forces of interactions of a drop with an external field and two drops with
each other have been calculatied. The answer is presented in the most general form. The problem of
determination of the rates for coagulation and scaterring of fog drops in the electric field of the lattice
in the one-dimensional case has been solved. The dependences of the electric field and its first and
second derivatives are represented as functuions of the coordinate of the observation point. It is shown
that the curves corresponding to these functions have mirror symmetry with respect to the geometric
center of the lattice. The curves of dependences of droplet accelerations under an external field and an
electric field of a neighboring droplet have been presented. It is shown that for fogs existing in nature,
the acceleration mechanism their drops by an external field in the direction of the lattice plates will be
the main mechanism for scattering of fog. A detailed numerical analysis of the kinematics of droplet
motion in an electric field has been carried out. It is shown that the acceleration of the droplet and
its dipole moment reach maximum values at the surface of the plates. The full scattering time of fog
drops between plates of the lattice does not exceed 8,5 hours. The lattice can be used on motorways,
runways of medium size for effective scattering of fog.