Someone claims that the average velocity in a circular pipe in fully developed laminar flow can be determined by simply measuring the velocity at R/2 (midway between the wall surface and the centerline). Do you agree? Explain.

Respuesta :

Answer:

No, I disagree

Explanation:

The average velocity in a circular pipe in fully developed laminar flow cannot be defined by simply measuring the velocity at R/2 (midway between the wall surface and the centerline). Vmax/2 is the mean velocity, but the velocity at midway between the wall surface and the centerline is

[tex]V(R/2)= V_{max}(1-\frac{r^2}{R^2} )_{r= R/2 }=\frac{3V_{max}}{4}[/tex]

Where R represent the circular pipe radius and r is a local radial distance measured from center of the pipe to any desired point