Chapter 12 Radiation Heat Transfer12-12 View factors from the very long grooves shown in the figure to the surroundings are to be determined. Assumptions1The surfaces are diffuse emitters and reflectors. 2End 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) D022=F11:rulesummation 212221=⎯→⎯=+FFF0.64====⎯=π2)1(2A:ruley reciprocit211212212121DDFAAFFAF(b) We designate the two identical surfaces of length bby (1) and (3), and the imaginary flat top surface by (2). Noting that (2) is flat, 022=F(3) (1) ab b (2) 5.01:rulesummation 2321232221==⎯=++FFFFF(symmetry) 11:rulesummation )31(2)31(222=⎯=++→+→FFF2ba===⎯=+→+→+→+++→)1(A:ruley reciprocit)31(2)31(2)31(2)31()31()31(22AAFFFAFsurr(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.