An approximation for the boundary-layer shape in Figs. 1.6b and P1.56 is the formula TT y u(y) = U sin 28 where U is the stream velocity far from the wall and & is the boundary layer thickness, as in Fig. P1.56. If the fluid is helium 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 T in Pa, and (b) find the position in the boundary layer where T is one-half of Tw. %3D

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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P1.56 An approximation for the boundary-layer shape in Figs.
1.6b and P1.56 is the formula
TTy
u( y) = U sin
28
where U is the stream velocity far from the wall and & is
the boundary layer thickness, as in Fig. P1.56. If the fluid
is helium at 20°C and 1 atm, and if U = 10.8 m/s and
3 cm, use the formula to (a) estimate the wall shear
stress 7, in Pa, and (b) find the position in the boundary
layer where T is one-half of T.
%3D
%3D
U
-- y = 8
u(y)
P1.56
Transcribed Image Text:P1.56 An approximation for the boundary-layer shape in Figs. 1.6b and P1.56 is the formula TTy u( y) = U sin 28 where U is the stream velocity far from the wall and & is the boundary layer thickness, as in Fig. P1.56. If the fluid is helium at 20°C and 1 atm, and if U = 10.8 m/s and 3 cm, use the formula to (a) estimate the wall shear stress 7, in Pa, and (b) find the position in the boundary layer where T is one-half of T. %3D %3D U -- y = 8 u(y) P1.56
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