The Use of Engineering Circuit Analysis to Describe the Joule-Heating Distribution of Several Electrical-Conductivity Averaging Schemes for Mixed Computational Cells
Abstract
The use of the electrical circuit diagram is put forward as a useful tool for understanding the behavior and consistency of electrical conductivity averaging schemes for mixed-cell computations. Sub-circuits are developed for each of three separate conductivity-averaging schemes: volume averaged, harmonic averaged, and the conductivity model of ARL-TR-8979. The circuit component properties derive from properties of the mixed cell, such as species conductivity and volume fraction. These sub-circuits are shown to produce the proper values of net conductivity espoused by the respective models. Once proper conductivity behavior has been verified, engineering analysis is performed on the circuit to determine the joule-heating distribution among the various species of the mixed cell. A richer understanding emerges of the conductivity-averaging schemes with respect to their behavior as species volume fractions vary. Spreadsheet tools are developed to exercise and play test various mixed-cell scenarios.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 2021
- Accession Number
- AD1135713
Entities
People
- Steven B. Segletes
Organizations
- United States Army Research Laboratory