journal6 ›› 2008, Vol. 29 ›› Issue (5): 53-56.

• Physics and electronics • Previous Articles     Next Articles

Fractal Dimension and Thermal Conductivity Model of  Granular Powder Space in High Velocity Compaction


  1. (School of Mathematical Science and Computing Technology,Central South University,Changsha 410083,China)
  • Online:2008-09-25 Published:2012-05-20

Abstract: Based on the fractal theory,a formula of computing the fractal dimension of the granular powder space is deduced using the accumulated density,powder particles’density and density of the pore media.At the same time,with the method of equivalent resistance,a series fractal model referring to effective themal conductivity of powder dispersion’s space is established.In addition,a formula is given considering the heat radiation.Through the curves of the fractal dimension and effective thermal conductivity's formula,it is analysed that the packing density has the impact to fractal dimension and the fractal dimension and temperature have influence on the effective thermal conductivity.The results indicate that fractal dimension of granular powder space goes higher with packing density increasing and effective thermal conductivity decreases with fractal dimension and increases with temperature.

Key words: granular powder space, fractal dimension, effective themal conductivity, heat radiation

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