Banner Drag. A small plane pulls a square advertisement banner (10m x 10m) through the air at U = 25 km/hour. Estimate the total drag force (N) and power required of the plane to pull the banner for (a) using laminar flat plate results, (b) using turbulent smooth plate results in Table 9.1 [Note: the banner has two sides]. Ans OM: (a) F: 10⁰ N, P: 10¹ W; (b) F: 10¹ N, P: 10² W

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.29P: Air at 20C flows at 1 m/s between two parallel flat plates spaced 5 cm apart. Estimate the distance...
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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

 

Banner Drag. A small plane pulls a square advertisement banner (10m x 10m) through the air at U = 25
km/hour. Estimate the total drag force (N) and power required of the plane to pull the banner for (a) using
laminar flat plate results, (b) using turbulent smooth plate results in Table 9.1
[Note: the banner has two sides].
Ans OM: (a) F: 10⁰ N, P: 10¹ W; (b) F: 10¹ N, P: 10² W
Transcribed Image Text:Banner Drag. A small plane pulls a square advertisement banner (10m x 10m) through the air at U = 25 km/hour. Estimate the total drag force (N) and power required of the plane to pull the banner for (a) using laminar flat plate results, (b) using turbulent smooth plate results in Table 9.1 [Note: the banner has two sides]. Ans OM: (a) F: 10⁰ N, P: 10¹ W; (b) F: 10¹ N, P: 10² W
TABLE 9.1
Empirical Equations for the Flat Plate Drag Coefficient (Ref. 1)
Flow Conditions
Equation
CDf = 1.328/(Re) ⁰.5
CDf = 0.455/(log Ree)2.58 - 1700/Ree
CDf = 0.455/(log Ree)2.58
CDf[1.89 1.62 log(ɛ/l)]¯2.5
Laminar flow
Transitional with Rex,cr = 5 × 10³
Turbulent, smooth plate
Completely turbulent
Transcribed Image Text:TABLE 9.1 Empirical Equations for the Flat Plate Drag Coefficient (Ref. 1) Flow Conditions Equation CDf = 1.328/(Re) ⁰.5 CDf = 0.455/(log Ree)2.58 - 1700/Ree CDf = 0.455/(log Ree)2.58 CDf[1.89 1.62 log(ɛ/l)]¯2.5 Laminar flow Transitional with Rex,cr = 5 × 10³ Turbulent, smooth plate Completely turbulent
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