On physical applications of one- and two-dimensional topological objects with fractal dimension

摘要

In this paper, the heat transfer coefficient of a body with a fractal surface, having the fractal dimension connecting with the fractal dimension of some body, as well as resistance to a current of fluid flowing normal to such body, is shown. It is noted that with an end flow of such flat bodies, by virtue of their fractal perimeter, the side resistive force will have the fractal dimension and contribute significantly to the total resistive force acting on any similar structure. The dependence of the resistance force of the Reynolds number was calculated and given graphic illustration. It is noted that the result can be used in medicine in the diagnosis of eye diseases, as well as in marine applications.