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The raceway has been studied extensively both theoretically and experimentally. The raceway boundary is coarse and fragmentary,but all of previous studies are based on Euclidean geometry,which regards the dimension of raceway as an integer. The fractal method of calculating raceway size,which describes boundary with extremely irregular or fragmentary characteristic,is brought forward in physical model. The fractal theory is used to calculate the fractal dimension of raceway boundary and the precise surface area of ellipsoidal raceway boundary. The result shows that the surface area based on fractal is larger than that based on Euclidean. And the surface area increases with the rise of blowing rate.
The raceway has been studied extensively both theoretically and experimentally. The raceway boundary is coarse and fragmentary, but all of previous studies are based on Euclidean geometry, where regards the dimension of raceway as an integer. The fractal method of calculating raceway size, which describe boundary with extremely irregular or fragmentary characteristic, is brought forward in physical model. The fractal theory is used to calculate the fractal dimension of raceway boundary and the precise surface area of ellipsoidal raceway boundary. The result shows that the surface area based on fractal is larger than that based on Euclidean. And the surface area increases with the rise of blowing rate.