Thermodynamics HW Solutions 909

Thermodynamics HW Solutions 909 - Chapter 12 Radiation Heat...

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Chapter 12 Radiation Heat Transfer 12-12 View factors from the very long grooves shown in the figure to the surroundings are to be determined. Assumptions 1 The surfaces are diffuse emitters and reflectors. 2 End effects are neglected. Analysis ( a ) We designate the circular dome surface by (1) and the imaginary flat top surface by (2). Noting that (2) is flat, (1) (2) D 0 22 = F 1 1 : rule summation 21 22 21 = ⎯→ = + F F F 0.64 = = = = = π 2 ) 1 ( 2 A : rule y reciprocit 21 1 2 12 21 2 12 1 D D F A A F F A F ( b ) We designate the two identical surfaces of length b by (1) and (3), and the imaginary flat top surface by (2). Noting that (2) is flat, 0 22 = F (3) (1) a b b (2) 5 . 0 1 : rule summation 23 21 23 22 21 = = = + + F F F F F (symmetry) 1 1 : rule summation ) 3 1 ( 2 ) 3 1 ( 2 22 = = + + + F F F 2b a = = = = + + + + + + ) 1 ( A : rule y reciprocit ) 3 1 ( 2 ) 3 1 ( 2 ) 3 1 ( 2 ) 3 1 ( ) 3 1 ( ) 3 1 ( 2 2 A A F F F A F surr ( c ) We designate the bottom surface by (1), the side surfaces by (2) and (3), and the imaginary top surface by (4). Surface 4 is flat and is completely surrounded by other surfaces. Therefore, and . F
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This note was uploaded on 01/24/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.

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