FDiff_10

Element on longitudinal strip on inside of right circular cylinder to base of cylinder

FDiff_10(r, z) provides the view factor from a differential element (1) on a longitudinal strip on the inside of right circular cylinder to the base of the cylinder (2).

Inputs:
r is the radius of the cylinder [m or ft]
z is the height of the element above the base [m or ft]

Example:
$UnitSystem SI K Pa J deg
"The following program uses integration to calculate the view factor between the inside surface of a right circular cylinder and its base. This view factor could be found more directly using ~~f3d_17{~~linkID=217}, but use of the differential view factor allows the radiation heat transfer to be calculated even if temperature varies with axial position along the inside cylinder wall. "
$VarInfo z units=m
r=1 [m]
h=2 [m]
F_21=integral(fdiff_10(r,z)*2*pi*r,z,0,h)/(2*pi*r*h)
F_21`=f3d_17(R,H)*pi*r^2/(2*pi*r*h)

{Solution:
F_21=F_21`=0.2071}

Reference: Howell, http://www.me.utexas.edu/~howell/sectionb/B-52.html

View Factor Index