Chapter08 - CHAPTER 8 External Flows 8.1 B A B C A...

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162 CHAPTER 8 External Flows 8.1 8.2 Re . . . . = = = × × = × - - 5 5 1 51 10 20 3 78 10 5 5 VD D n m 8.3 8.4 8.5 ( C ) 8.6 ( C ) A B C A-B: favorable B-C: unfavorable A-C: favorable separated region inviscid flow boundary layer near surface inviscid flow viscous flow near sphere no separation separation wake separation separated region building inviscid flow boundary layer wake A-B: favorable B-C: unfavorable A-D: favorable C-D: undefined A B C D separated flow
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163 8.7 ( B ) 6 0.8 0.008 Re 4880. 1.31 10 VD n - × = = = × 8.8 5 5 5 1 22 10 8 12 000915 5 = = = × × = - VD V D V n n a) fps. / . . / . . b) V = × × = - 5 388 10 8 12 000291 5 . / . . fps. c) V = × × = - 5 1 6 10 8 12 0 012 4 . / . . fps. 8.9 Re . . . = = × × = × - VD D D n 20 1 51 10 13 25 10 5 5 a) Re . . . = × × = × 13 25 10 6 7 9 10 5 6 Separated flow. b) Re . . . . = × × = × 13 25 10 06 7 9 10 5 4 Separated flow. c) Re . . . = × × = 13 25 10 006 7950 5 Separated flow. 8.10 F pdA p A p r rdr p p D A = - = - = -  = back back front 0 2 0 0 0 1 1 2 2 1 2 1 4 1 2 ( ) p p p Bernoulli: p V p p + = = × × = 1 2 1 2 1 21 20 242 2 0 0 2 r . . Pa. = = F D 1 2 242 380 p ( ) N C F V A D D = = × × × × = 1 2 2 2 2 2 380 1 21 20 1 0 5 r p . . 8.11 F F F total bottom top 000 .3 .3 +10 000 N. = + = × × × × = 20 3 3 2700 . . F lift cos 10 N = = 2700 2659 o F drag 10 N = = 2700 469 sin o C F V A L L = = × × × × = 1 2 2 2 2 2659 1000 5 3 3 2 36 r . . . C F V A D D = = × × × × = 1 2 2 2 2 469 1000 5 3 3 0 417 r . . . 8.12 F p A Lw F p A Lw Lw u u u l l l o = = × = = × = 26 8000 2 5 4015 000 . cos F F F Lw L u = - = l o o cos cos 5 10 21 950 F F F Lw D u = - = l o o sin sin 5 10 1569
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