When a fluid flows over a surface, the shear stress τ (N/m2) at the surface is given by the expression where μ is the viscosity (N-s/m2), u is the velocity parallel to the surface (m/s), and y is the distance normal to the surface (cm). Measurements of the velocity of an air stream flowing above a surface are made with an LDV (laser-Doppler-Velocimeter). The values given below were obtained. At the local temperature, μ = 0.00024 N-s/m2. In four decimal places, calculate du/dy at the surface using all the points.

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When a fluid flows over a surface, the shear stress τ (N/m2) at the surface is given by the expression

where μ is the viscosity (N-s/m2), u is the velocity parallel to the surface (m/s), and y is the distance normal to the surface (cm). Measurements of the velocity of an air stream flowing above a surface are made with an LDV (laser-Doppler-Velocimeter). The values given below were obtained.

At the local temperature, μ = 0.00024 N-s/m2. In four decimal places, calculate du/dy at the surface using all the points. 

When a fluid flows over a surface, the shear stress T (N/m) at the surface is given by the expression
du
surface
where u is the viscosity (N-s/m), u is the velocity parallel to the surface (m/s), and y is the distance normal to the surface
(cm). Measurements of the velocity of an air stream flowing above a surface are made with an LDV (laser-Doppler-
Velocimeter). The values given below were obtained.
y
и
y
и
0.0
0.00
2.0
88.89
1.0
55.56
3.0
100.00
At the local temperature, p = 0.00024 N-s/m". In four decimal places, calculate du/dy at the surface using all the points.
Answer =
Transcribed Image Text:When a fluid flows over a surface, the shear stress T (N/m) at the surface is given by the expression du surface where u is the viscosity (N-s/m), u is the velocity parallel to the surface (m/s), and y is the distance normal to the surface (cm). Measurements of the velocity of an air stream flowing above a surface are made with an LDV (laser-Doppler- Velocimeter). The values given below were obtained. y и y и 0.0 0.00 2.0 88.89 1.0 55.56 3.0 100.00 At the local temperature, p = 0.00024 N-s/m". In four decimal places, calculate du/dy at the surface using all the points. Answer =
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