Radiation View Factors: cylinder_to_plane

Radiation view factors (F12) for common geometric configurations — parallel plates, perpendicular surfaces, concentric cylinders/spheres, coaxial disks, enclosures

Mechanical Engineeringgeometry_class: cylinder_to_plane3 rows
geometry classgeometry idconfiguration notesformula expressiongeometry descriptionparam 1 nameparam 1 valuesurface 1surface 2view factor F12
cylinder_to_planelong_cylinder_to_plane_h10h/r=10.0: F12=(1/pi)*arcsin(0.1)=(1/pi)*0.10017=0.0319.F12=(1/pi)*arcsin(1/(h/r))Infinitely long cylinder above infinite plane; h/r=10.0h_over_r10Long cylinder (radius r)Infinite plane0.0319
cylinder_to_planelong_cylinder_to_plane_h2h/r=2.0: F12=(1/pi)*arcsin(0.5)=(1/pi)*(pi/6)=1/6≈0.1667. This is the view factor from the cylinder to the plane. The infinite plane F21 is found by energy balance on the enclosure.F12=(1/pi)*arcsin(r/h)=(1/pi)*arcsin(1/(h/r))Infinitely long cylinder of radius r centered at height h above an infinite plane; h/r=2.0h_over_r2Long cylinder (radius r)Infinite plane0.1667
cylinder_to_planelong_cylinder_to_plane_h3h/r=3.0: F12=(1/pi)*arcsin(0.3333)=(1/pi)*0.3398=0.1082.F12=(1/pi)*arcsin(1/3)Infinitely long cylinder above infinite plane; h/r=3.0h_over_r3Long cylinder (radius r)Infinite plane0.1082

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