№1 (19), 2012. MATHEMATICS AND SCIENCE

Dmitrienko G S, Uvarova L A

Modeling heat transfer in area with a fractal boundary

The paper analyzes the fractal model of the real surface of the body, investigated the characteristics and properties of this model depending on parameters. The purpose is to study the effect of surface roughness, taking into account its fractal properties. We solve the problem of heat transfer in area with a fractal surface. Numerical estimates have shown that the type of solution depends essentially on the fractal dimension of the surface.

Keywords: rough surface, fractal rough surface, method of independent fluxes.

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