The velocity v (m/s) of air flowing past a flat surface is measured at several distances y (m) away from the surface. Determine the shear stress T (N/m²) at the surface (y = 0), and at y = 0.006, when using Newton's viscosity law: T dv dy Assume a value of dynamic viscosity μ = 1.8x10³ N.s/m². Use high accuracy divided-difference formulas incorporating additional terms of the Taylor Series. y (m) 0 v (m/s) 0 0.006 0.899 0.012 1.915 0.018 3.048 0.024 4.299

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The velocity v (m/s) of air flowing past a flat surface is measured at several distances y (m)
away from the surface. Determine the shear stress T (N/m²) at the surface (y = 0), and at
y = 0.006, when using Newton's viscosity law:
T
dv
dy
Assume a value of dynamic viscosity μ = 1.8x10³ N.s/m².
Use high accuracy divided-difference formulas incorporating additional terms of the Taylor
Series.
y (m) 0
v (m/s)
0
0.006
0.899
0.012
1.915
0.018
3.048
0.024
4.299
Transcribed Image Text:The velocity v (m/s) of air flowing past a flat surface is measured at several distances y (m) away from the surface. Determine the shear stress T (N/m²) at the surface (y = 0), and at y = 0.006, when using Newton's viscosity law: T dv dy Assume a value of dynamic viscosity μ = 1.8x10³ N.s/m². Use high accuracy divided-difference formulas incorporating additional terms of the Taylor Series. y (m) 0 v (m/s) 0 0.006 0.899 0.012 1.915 0.018 3.048 0.024 4.299
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