numerical analysis, manybody problem, thermal conductivity, composite materials, circular configuration, cylinders, suspensions, randomness
A numerical method is developed that takes into account the many particle interactions in a rigorous manner to determine the effective thermal conductivity of Km of a composite medium consisting of parallel circular cylinders of thermal conductivity ak suspended in a matrix of conductivity k. Numerical results for Km are presented for a wide rane of a and o, the area fraction of the cylinders, after averaging over several computer-generated random arrays of cylinders. The results obtained via this exact method are compared with those of various approximate analystical methods to assess their utility in predicting Km.
Sangani, Ashok S. and Yao, C., "Transport Processes in Random Arrays of Cylinders. I. Thermal Conduction" (1988). Biomedical and Chemical Engineering. Paper 35.