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Numerical Analysis and Applications

2015 year, number 1

Method for description of heat transfer processes in fractal systems using scale variable

Olga Nikolaevna Khatuntseva1,2
a:2:{s:4:"TEXT";s:230:"1S.P. Korolev rocket and space corporation «Energia», 4A Lenin Street, Korolev, Moscow area, 141070
2Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region, 141700";s:4:"TYPE";s:4:"html";}
Keywords: fractal, fractional dimension, scaling, heat conduction, diffusion

Abstract

A method is offered for the description of heat transfer (diffusion) processes in fractal systems based on the heat conductivity equation enhanced by an additional variable specifying a scale of the consideration of the fractal.