Abstract
The hexagonal network is an important optimal composite structure. The thermal diffusion (mass diffusion, electric conduction) through a hexagonal network of finite thickness is analyzed for the first time. We assume the network has finite conductivity, but the inclusions enclosed by the network are either insulating or perfectly conducting. Using eigenfunction expansions and matching three different subregions, the temperature profiles and the effective conductivity are found. The special case of circular inclusions agrees with the existing literature. Junction effects, which introduce additional resistances to the simple electric circuit analogy, are determined.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
