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Strip element dA_1 to plane parallel rectangle

 

 

FDiff_2(a, b, c) returns the view factor value from a strip element to a rectangle in a plane that is parallel to it.  

 

Inputs:

a = width of the rectangle [m or ft]

b = length of the rectange  [m or ft]

c = parallel spacing distance between the rectangle and the strip element [m or ft]

 

Example:  

"This example determines the view factor between a rectangle of dimensions a x b and a differentially wide strip parallel and below the rectangle.  The calculation is done in two ways: 1) by integrating the FDiff_1 for 0<x<b and 2) direct calculation using FDiff_2.  The results are identical but the option of integrating allows temperature of other properties to vary with position."

a=1 [m]

b=2 [m]

c=0.5 [m]

F_strip=integral(FDiff_1(a, x, c),x,0,b)  "integrate for 0<x<b"

F=FDiff_2(a, b, c)

 

{Solution: F_strip=F=0.3622}

 

Reference: Siegel and Howell, Thermal Thermal radiation heat transfer, 4th edition, p.842.

 

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