Radiation View Factors: concentric_spheres

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

Mechanical Engineeringgeometry_class: concentric_spheres3 rows
geometry classgeometry idconfiguration notesformula expressiongeometry descriptionparam 1 nameparam 1 valuereciprocity F21surface 1surface 2view factor F12
concentric_spheresconcentric_spheres_r0p25Inner sphere convex: F12=1. Reciprocity: 4pi*r1^2*1=4pi*r2^2*F21 → F21=(r1/r2)^2=0.0625. F22=1-F21=0.9375.F12=1; F21=(r1/r2)^2Two concentric spheres; inner radius r1 outer radius r2; r1/r2=0.25r1_over_r20.250.0625Inner sphere surface (radius r1)Outer sphere surface (radius r2)1
concentric_spheresconcentric_spheres_r0p5F12=1; F21=0.25; F22=0.75.F12=1; F21=(r1/r2)^2Two concentric spheres; r1/r2=0.50r1_over_r20.50.25Inner sphere surface (radius r1)Outer sphere surface (radius r2)1
concentric_spheresconcentric_spheres_r0p75F12=1; F21=0.5625; F22=0.4375.F12=1; F21=(r1/r2)^2Two concentric spheres; r1/r2=0.75r1_over_r20.750.5625Inner sphere surface (radius r1)Outer sphere surface (radius r2)1

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