| Matrix or Vector | Shape Functions | Integration Points |
|---|---|---|
| Conductivity Matrix and Heat Generation Load Vector | None (nodes may be coincident) | None |
The element conductivity (convection) matrix is
 | (13–32) |
where:
| A = area over which element acts (input as AREA on R command) |
|
The effective film coefficient is:
 | (13–33) |
where:
|
| Cc = user input constant (input as CC on R command) |
The partial film coefficient term is:
 | (13–34) |
where:
 |
| TB = bulk temperature (input as TBULK on SFE command) |
 |
| H(x) = alternate film coefficient (input on MP,HF command for material x) |
| me = material number for this element (input on MAT command) |
|
| ΔTp = Tp,J - Tp,I |
| Tp,J = temperature from previous iteration at node J |
| n = exponent on temperature change (input as EN on R command) |
ΔTp must be thought of as unitless, even though it is obviously derived from temperatures.
The heat generation load vector is:
 | (13–35) |
where:
|
| L = distance between nodes |
