Abstract

In this paper, the prediction and control of the fractal growth in the thermal diffusivity of the cylinder wall were analyzed. A nonlinear dynamic system for the fractal growth of the thermal diffusivity of the cylinder wall was given. By analyzing the quantitative relation between the nonlinear term and the source term in the environmental interference term, we obtain the conclusion that the source term plays a leading role in the thermal diffusion fractal growth. MATLAB simulations about the nonlinear term and different regional trigonometric form are carried out to verify the effectiveness of the diffusion cylinder wall thermal control for example, which provides the basis of the parameter control of corresponding engineering.

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