Radiation View Factors: parallel_rectangles
Radiation view factors (F12) for common geometric configurations — parallel plates, perpendicular surfaces, concentric cylinders/spheres, coaxial disks, enclosures
| geometry class | geometry id | configuration notes | formula expression | geometry description | param 1 name | param 1 value | param 2 name | param 2 value | surface 1 | surface 2 | view factor F12 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| parallel_rectangles | parallel_rect_X10Y10 | X=Y=10: F12≈0.827. As X=Y→inf F12→1. | F12 from Incropera Table 13.2 formula; X=Y=10 | Two aligned parallel equal rectangles; X=10 Y=10 (approaches infinite parallel plates) | X_ratio | 10 | Y_ratio | 10 | Rectangle 1 | Rectangle 2 | 0.827 |
| parallel_rectangles | parallel_rect_X1Y1 | X=Y=1: F12≈0.1998. Formula: F12=(2/piXY)*{ln(sqrt((1+X^2)(1+Y^2)/(1+X^2+Y^2)))+X*sqrt(1+Y^2)*arctan(X/sqrt(1+Y^2))+Y*sqrt(1+X^2)*arctan(Y/sqrt(1+X^2))-X*arctan(X)-Y*arctan(Y)}. | F12 from Incropera Table 13.2 double-log formula; X=Y=1 | Two aligned parallel equal rectangles; X=a/c=1 Y=b/c=1 where c=separation | X_ratio | 1 | Y_ratio | 1 | Rectangle 1 (a x b) | Rectangle 2 (a x b) | 0.1998 |
| parallel_rectangles | parallel_rect_X1Y2 | X=1 Y=2: F12≈0.235. From Incropera Fig 13.4. | F12 from Incropera Table 13.2 formula; X=1 Y=2 | Two aligned parallel equal rectangles; X=1 Y=2 | X_ratio | 1 | Y_ratio | 2 | Rectangle 1 | Rectangle 2 | 0.2353 |
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