SF_12

Function SF_12 provides the shape factor ([m] or [ft]) for conduction between a cylinder centered in a square beam and the exterior surface of the beam.
Inputs:
D = diameter of cylinder ([m] or [ft])
w = length of square edges ([m] or [ft])
L = length of square solid and cylinder ([m] or [ft])
Example: SF = SF_12(D, w, L)
Reference: Incropera, F. & DeWitt, D. (2002). Fundamentals of heat and mass transfer, 5th ed. Hoboken, New Jersey: John Wiley & Sons. p. 193-194.
Example:
$UnitSystem SI Mass J K Pa Radian
$VarInfo D, w, L, SF units=m
D = 0.1 [m]
w = 0.2 [m]
L = 1 [m]
SF = SF_12(D, w, L)
{Solution:
SF = 8.159 [m]}