A Comparison of a Mixed-Cell Electrical Conductivity Model to the Volume-Averaging Approximation
[Technical Report, Technical Note]
US Army Combat Capabilities Development Command, Army Research Laboratory
Pagination or Media Count:
In this note, a model for mixed-cell electrical conductivity, previously developed by the author, is examined and compared to a simpler model based on volume averaging. Understanding is gained by reformulating the underlying assumptions of the authors model so as to achieve a result that mimics the volume-averaging approach. Then, those revised underlying assumptions are examined for their fidelity to the physical and morphological processes that govern electrical flow in a heterogeneous body. In so doing, an understanding is reached as to why volume averaging does not provide the most favorable match to expected physical behavior of a heterogeneous electrical conductor.
- Electricity and Magnetism
- Numerical Mathematics