Drag. To see why golf balls are rough, estimate the terminal speed of a golf ball falling through atmospheric air if D = 0.05 m, M = 0.05 kg, for two cases: (a) a normal golf ball; (b) a smooth ball; use drag data form fig 9.18. A bit of trial and error - guess CD & check. Verify your CD guess and iterate once if necessary. Show any iteration result clearly. State if the BL is laminar or turbulent for each case.

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.8P
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Assume Patm = 10^5, Pa = 14.7 psi ; ρwater ~ 1000 kg/m3 ; ρair ~ 1.2 kg/m3 ; μwater ~ 10^-3 N•s/m2 ; μair ~ 2 x 10^-5 N•s/m2 ; Vwater ~ 10^-6 m2 /s ; Vair ~ 1.67 x 10^-5 m2 /s ; g = 9.8 m/s^2 .; 1 m/s = 2.24 mph ; 1lbf = 4.45 N ; 1 m^3 = 264 gallons

5. Drag. To see why golf balls are rough, estimate the terminal speed of a golf ball falling through atmospheric
air if D = 0.05 m, M = 0.05 kg, for two cases: (a) a normal golf ball; (b) a smooth ball; use drag data form
fig 9.18. A bit of trial and error - guess CD & check. Verify your CD guess and iterate once if necessary.
Show any iteration result clearly. State if the BL is laminar or turbulent for each case.
Ans OM: (a) Vt = 10¹ m/s; (b) Vt = 10¹ m/s
Transcribed Image Text:5. Drag. To see why golf balls are rough, estimate the terminal speed of a golf ball falling through atmospheric air if D = 0.05 m, M = 0.05 kg, for two cases: (a) a normal golf ball; (b) a smooth ball; use drag data form fig 9.18. A bit of trial and error - guess CD & check. Verify your CD guess and iterate once if necessary. Show any iteration result clearly. State if the BL is laminar or turbulent for each case. Ans OM: (a) Vt = 10¹ m/s; (b) Vt = 10¹ m/s
Zend
CD=
0.6
0.5
0.4
0.3
0.2
0.1
0
Golf
ball
w|0
D
= 1.25 x 10-2.
E
D
4x104
= 5x10-3
D
=1.5 × 10-³
105
Re =
داس
D
= relative roughness
4 x 105
UD
V
E
D
= 0 (smooth)
106
FIGURE 9.18 The effect of surface roughness on the drag coefficient of a sphere
in the Reynolds number range for which the laminar boundary layer becomes turbulent (Ref. 4).
4 x 106
Transcribed Image Text:Zend CD= 0.6 0.5 0.4 0.3 0.2 0.1 0 Golf ball w|0 D = 1.25 x 10-2. E D 4x104 = 5x10-3 D =1.5 × 10-³ 105 Re = داس D = relative roughness 4 x 105 UD V E D = 0 (smooth) 106 FIGURE 9.18 The effect of surface roughness on the drag coefficient of a sphere in the Reynolds number range for which the laminar boundary layer becomes turbulent (Ref. 4). 4 x 106
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