| Matrix or Vector | Shape Functions | Integration Points |
|---|---|---|
| Conductivity and Specific Heat Matrices; and Heat Generation Load Vector | Equation 11–13 | None |
Heat Flow describes the derivation of thermal element matrices and load vectors as well as heat flux evaluations.
The conductivity matrix is:
 | (13–27) |
where:
| A = area (input as AREA on R command) |
| Kx = conductivity (input as KXX on MP command) |
| L = distance between nodes |
The specific heat matrix is:
 | (13–28) |
where:
| ρ = density (input as DENS on MP command) |
| Cp = specific heat (input as C on MP command) |
This specific heat matrix is a diagonal matrix with each diagonal being the sum of the corresponding row of a consistent specific heat matrix. The heat generation load vector is:
 | (13–29) |
where:
|
