Derivation of governing equation for predicting thermal conductivity of composites with spherical inclusions and its applications

作者：Lee Jae Kon^*; Kim Jin Gon

来源：Physics Letters A, 2011, 375(42): 3739-3744.

DOI：10.1016/j.physleta.2011.08.060

• Composite material
• Effective thermal conductivity
• Generalized self-consistent model
• Graded spherical inclusion
• Microballoons

A governing differential equation for predicting the effective thermal conductivity of composites with spherical inclusions is shown to be simply derived by using the result of the generalized self-consistent model. By applying the equation to composites including spherical inclusions such as graded spherical inclusions, microballoons, mutiply-coated spheres, and spherical inclusions with an interphase, their effective thermal conductivities are easily predicted. The results are compared with those in the literatures to be consistent. It can be stated from the investigations that the effective thermal conductivity of composites with spherical inclusions can be estimated as long as their conductivities are expressed as a function of their radius.

• 出版日期2011-10-3