Assume Patm = 10^5, Pa = 14.7 psi; pwater ~ 1000 kg/m3; pair ~ 1.2 kg/m3; μwater ~ 10^-3 N•s/m2; pair ~ 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 gallonsChanging variables, the IBL eq'n 9.21 can be written as: TW = pU^2 (d8/dx) [S(u/U)(1-u/U)dn] where ny/6, with integral limits 0 to 1. Assuming profiles of theform u/U = f(n) then the integral value is a pure number. Again, for turbulent IBL we set TW = 0.0233 pU^2 [v/(US)]^(1/4) on LHSCombination of Variables. A boundary layer expert uses a combination of variables n = ay/x1¹/2 together withy = bx¹/² f(n), where a and b are constants. It is found that for flow of air near a flat plate ƒ(n) = 0.3ŋ². If a = 1000and b = 0.001, compute (a) the shear stress at the plate in air at x = 50cm; (b) the air velocity at y = 0.1mm and x = = 50cm;(c) the total drag force, Fò, on a square plate L = W = 4m. Ans OM: (a) t: 10-² Pa; (b) u: 10-² m/s; (c) FD:10-¹ N

Given data: combination of variables are η=ayxψ=bxf(η)f(η)=0.3η2a=1000b=0.001 Find: (a) the shear…

Combination of Variables. A boundary layer expert uses a combination of variables n= ay/x¹/2 together with = bx¹/2 f(n), where a and b are constants. It is found that for flow of air near a flat plate f(n) = 0.3n². If a = 1000 and b = 0.001, compute (a) the shear stress at the plate in air at x = 50cm; (b) the air velocity at y = 0.1mm and x = 50cm; (c) the total drag force, FD, on a square plate L = W = 4m. Ans OM: (a) t: 10-2 Pa; (b) u: 10-2 m/s; (c) FD:10-¹ N

Combination of Variables. A boundary layer expert uses a combination of variables n= ay/x¹/2 together with = bx¹/2 f(n), where a and b are constants. It is found that for flow of air near a flat plate f(n) = 0.3n². If a = 1000 and b = 0.001, compute (a) the shear stress at the plate in air at x = 50cm; (b) the air velocity at y = 0.1mm and x = 50cm; (c) the total drag force, FD, on a square plate L = W = 4m. Ans OM: (a) t: 10-2 Pa; (b) u: 10-2 m/s; (c) FD:10-¹ N

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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a = 5 m b = 3 m c = 1 m m= 120 kgg= 9.80665 m/s^2
Assume Patm = 10^5, Pa = 14.7 psi ; pwater ~ 1000 kg/m3; pair ~ 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 Changing variables, the IBL eq'n 9.21 can be written as: TW = pU^2 (d8/dx) [ S(u/U)(1-u/U)dn] where n = y/6, with integral limits 0 to 1. Assuming profiles of the form u/U = f(n) then the integral value is a pure number. Again, for turbulent IBL we set TW = 0.0233 pU^2 [v/(U8)]^(1/4) on LHS Flat Plate, Water. Water flows at atmospheric pressure over a flat plate at U = 5m/s. (a) At what distance x* from the leading edge will the flow become turbulent? (b) At x*, assuming laminar flow, what is the (i) boundary layer thickness 8*, (ii) the wall shear stress and (iii) the speed ratios u/U and v/U at y = 8*/2? (c) If a pitot tube, open at the top, is placed at y = 8*/2 and fills with water, what is the pitot manometer height, h (assume Pg = 0 in the…
Assume Patm = 10^5, Pa = 14.7 psi; pwater ~ 1000 kg/m3; pair ~ 1.2 kg/m3; μwater ~ 10^-3 N•s/m2; uair ~ 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 Changing variables, the IBL eq'n 9.21 can be written as: TW = PU^2 (d8/dx) [S(u/U)(1-u/U)dn] where ny/8, with integral limits 0 to 1. Assuming profiles of the form u/U = f(n) then the integral value is a pure number. Again, for turbulent IBL we set TW = 0.0233 pU^2 [v/(US)]^(1/4) on LHS Boundary Layer, Flat Plate. Water flows past a flat plate of length 2m and width 4m. If the free stream velocity is U = 0.4 m/s, and assuming a laminar boundary layer flow, use the exact Blasius results. to compute (a) the total drag force (N); (b) the boundary layer thickness at the trailing edge (8L); (c) If a pitot stagnation tube is placed at x = L/2 at y = 0.4 8L and assuming P = 1 atm - constant throughout the BL, what "h" would the manometer read?; (d) the…
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