Question

Provide a sketch and state your assumptions as you determine the shape factor F12 for the following: 2.0.4 m 1 Z, -0.2 m CY-0.3 m2 2 X = 0.5 m

Answer 1

First, the superposition theorem and reciprocity theorem is used to derive the shape factor relationships between two surfaces 1 and 2.

Then from the standards graph of the shape factors for the perpendicular surfaces, we determine the each requires shaped factor then finally the required shape factor.

The Shape Factor " F₁₂ = 0.09 ".

using the superposition rule; F, 2,3 & FI2+ F13 F2 - 1,4 2 F2z= Fru +F21 By reciprocity theorem, A, Fiz= A Fu F12= AF21 A the The following care anumption: All surface are considered diffresasle 2) Planes formed by slar to Az reining surface than to surface 2 A1 & AY دلم Total X-O-S Y=0.3 Surface surface 1 + Surface 4

From above diagram, Z. こ که у - 0-6 0.5 From the graph uploaded, wing & wl get shope factor of 2-3 → 23-0-25 Alluming only one mining surface tar to Surfalz chon below Izzor x=0.5 Y-0.3 From above diagran, o.3 20.6 که using the graph shape factu 2-4 -) (P24 = 0.19

From the formula mentioned in beginning F21 = F23 - Fay +0.25 - 019 En = 0.06 Fiz= Afu o 5x03x0.06 A1 0 2x0.5 گارے Fiz=0.09

The shape factor graph for the perpendicular surfaces:

0.5 Y/X = 0.02 j N Y 0.05 X 0.4 0.1 0.2 0.3 0.4 0.6 0.2 1.0 1.5 0.1 2.0 4. 10 20 0 0.1 0.2 0.4 4 6 8 10 N 0.6 0.8 1 ZIX