On the Effective Thermal Conductivity of a Random Suspension of Spheres.

摘要

The effective thermal conductivity, lambda star, of a random suspension of spheres in the limit of small concentrations are consided. The results are also directly applicable to a variety of other transport properties e.g. electrical or magnetic. The problem using an iterative procedure and introduce nearest neighbor probability density function is studied. To lowest order the expression for a well separated geometric arrangement is found. To next order the effects of sphere interaction are found. A number of probability density functions and consider the effect of clustering are treated. The results are then studied in relation to the bounds for lambda star which have been found previously.