Standard air flows past a flat surface, and velocity measurements near the surface indicate the following distribution:

The coordinate \(y\) is measured normal to the surface and \(u\) is the velocity parallel to the surface.

(a) Assume the velocity distribution is of the form

\[ u=C_{1} y+C_{2} y^{3} \]

and use a standard curve-fitting technique to determine the constants \(C_{1}\) and \(C_{2}\).

(b) Make use of the results of part

(a) to determine the magnitude of the shearing stress at the wall \((y=0)\) and at \(y=0.05 \mathrm{ft}\).

Transcribed Image Text:

y (ft) 0.005 0.01 0.02 0.04 0.06 0.08 u (ft/s) 0.74 1.51 3.03 6.37 10.21 14.43