An approximated velocity profile for a laminar boundary layer is given as u(y) z Usin 28 where U is the stream velocity far from the wall and & is the boundary layer thickness, as shown in Fig 2. If the fluid is helium (u = 1.94 × 10-5N.s/m²) at 20°C and 1 atm, and if U = 10.8 m/s and 8= 3 cm, use the formula to (a) Estimate the wall shear stress Tw in N/m², and (b) Find the position in the boundary layer where t is one-half of Tw

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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QuestionNo.3
An approximated velocity profile for a laminar boundary layer is given as
u(y) × Usin|
28
where U is the stream velocity far from the wall and 8 is the boundary layer thickness, as shown in Fig 2.
If the fluid is helium (µ = 1.94 × 10-5N.s/m²) at 20°C and 1 atm, and if U = 10.8 m/s and ô= 3 cm,
%3D
use the formula to
(a) Estimate the wall shear stress Tw in N/m2, and
(b) Find the position in the boundary layer where t is one-half of Tw
2/2
U
y = 8
u(y)
Figure 2
Transcribed Image Text:QuestionNo.3 An approximated velocity profile for a laminar boundary layer is given as u(y) × Usin| 28 where U is the stream velocity far from the wall and 8 is the boundary layer thickness, as shown in Fig 2. If the fluid is helium (µ = 1.94 × 10-5N.s/m²) at 20°C and 1 atm, and if U = 10.8 m/s and ô= 3 cm, %3D use the formula to (a) Estimate the wall shear stress Tw in N/m2, and (b) Find the position in the boundary layer where t is one-half of Tw 2/2 U y = 8 u(y) Figure 2
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