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 (SL); (c) If a pitot stagnation tube is placed at x = L/2 at y = 0.4 6L and assuming P = 1 atm - constant throughout the BL, what "h" would the manometer read?; (d) the value of the vertical velocity v (m/s) at x = L/2 at y = 0.4 6L; (e) at what distance down the plate would the flow have become turbulent?; (f) repeat part "a" for the total shear force if the plate is rotated such that L = 4m and W = 2m? Ans OM: (a) FD ~ 10¹ N; (b) 8L ~ 10-² m; (c) h~ 10⁰ mm; (d) v~ 104 m/s; (e) XL-T~ 10⁰ m; (f) FD ~ 10-¹ N df dn 0.62977 0.68131 0.72898 0.77245 0.81151 0.84604 n 2.0 2.2 2.4 2.6 2.8 3.0 f 0.65002 0.78119 0.92229 1.07250 1.23098 1.39681
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 (SL); (c) If a pitot stagnation tube is placed at x = L/2 at y = 0.4 6L and assuming P = 1 atm - constant throughout the BL, what "h" would the manometer read?; (d) the value of the vertical velocity v (m/s) at x = L/2 at y = 0.4 6L; (e) at what distance down the plate would the flow have become turbulent?; (f) repeat part "a" for the total shear force if the plate is rotated such that L = 4m and W = 2m? Ans OM: (a) FD ~ 10¹ N; (b) 8L ~ 10-² m; (c) h~ 10⁰ mm; (d) v~ 104 m/s; (e) XL-T~ 10⁰ m; (f) FD ~ 10-¹ N df dn 0.62977 0.68131 0.72898 0.77245 0.81151 0.84604 n 2.0 2.2 2.4 2.6 2.8 3.0 f 0.65002 0.78119 0.92229 1.07250 1.23098 1.39681
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
Related questions
Question
![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 value of the vertical
velocity v (m/s) at x = L/2 at y = 0.4 8L; (e) at what distance down the plate would the flow have become turbulent?; (f) repeat part "a" for the total shear force if
the plate is rotated such that L = 4m and W = 2m?
Ans OM: (a) FD ~ 10-¹ N; (b) dL ~ 10-² m; (c) h ~ 10⁰ mm; (d) v~ 10-4 m/s; (e) XL-T~ 10⁰ m; (f) FD ~ 10-¹ N
df
dn
0.62977
0.68131
0.72898
0.77245
n
NNNN
2.0
2.2
2.4
2.6
2.8
3.0
и
个个个
f
0.65002
0.78119
0.92229
1.07250
1.23098
1.39681
L=2
P(x)
0.81151
0.84604](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff46cd712-1d53-471c-8e4d-5e78c3c80932%2F25de8691-ac61-4d5a-bfe9-4c0222fd947b%2Fxpyo7wb5_processed.png&w=3840&q=75)
Transcribed Image Text: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 value of the vertical
velocity v (m/s) at x = L/2 at y = 0.4 8L; (e) at what distance down the plate would the flow have become turbulent?; (f) repeat part "a" for the total shear force if
the plate is rotated such that L = 4m and W = 2m?
Ans OM: (a) FD ~ 10-¹ N; (b) dL ~ 10-² m; (c) h ~ 10⁰ mm; (d) v~ 10-4 m/s; (e) XL-T~ 10⁰ m; (f) FD ~ 10-¹ N
df
dn
0.62977
0.68131
0.72898
0.77245
n
NNNN
2.0
2.2
2.4
2.6
2.8
3.0
и
个个个
f
0.65002
0.78119
0.92229
1.07250
1.23098
1.39681
L=2
P(x)
0.81151
0.84604
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