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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

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

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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: \( 10^0 \) N, P: \( 10^1 \) W; (b) F: \( 10^1 \) N, P: \( 10^2 \) 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: \( 10^0 \) N, P: \( 10^1 \) W; (b) F: \( 10^1 \) N, P: \( 10^2 \) W
**Table 9.1: Empirical Equations for the Flat Plate Drag Coefficient (Ref. 1)** | **Equation** | **Flow Conditions** | |-------------------------------------------------|-------------------------------------------------------| | \( C_{Df} = \frac{1.328}{(Re_{\ell})^{0.5}} \) | Laminar flow | | \( C_{Df} = \frac{0.455}{(\log Re_{\ell})^{2.58}} - \frac{1700}{Re_{\ell}} \) | Transitional with \( Re_{x,cr} = 5 \times 10^5 \) | | \( C_{Df} = \frac{0.455}{(\log Re_{\ell})^{2.58}} \) | Turbulent, smooth plate | | \( C_{Df} = \left[1.89 - 1.62 \log(\varepsilon/\ell)\right]^{-2.5} \) | Completely turbulent | This table provides empirical equations for calculating the drag coefficient of a flat plate under various flow conditions. Each equation corresponds to a specific regime, ranging from laminar to completely turbulent flows.
Transcribed Image Text:**Table 9.1: Empirical Equations for the Flat Plate Drag Coefficient (Ref. 1)** | **Equation** | **Flow Conditions** | |-------------------------------------------------|-------------------------------------------------------| | \( C_{Df} = \frac{1.328}{(Re_{\ell})^{0.5}} \) | Laminar flow | | \( C_{Df} = \frac{0.455}{(\log Re_{\ell})^{2.58}} - \frac{1700}{Re_{\ell}} \) | Transitional with \( Re_{x,cr} = 5 \times 10^5 \) | | \( C_{Df} = \frac{0.455}{(\log Re_{\ell})^{2.58}} \) | Turbulent, smooth plate | | \( C_{Df} = \left[1.89 - 1.62 \log(\varepsilon/\ell)\right]^{-2.5} \) | Completely turbulent | This table provides empirical equations for calculating the drag coefficient of a flat plate under various flow conditions. Each equation corresponds to a specific regime, ranging from laminar to completely turbulent flows.
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