In: Physics
You are studying the laminar flow of water in a pipe at 20˚C.
The pipe is...
You are studying the laminar flow of water in a pipe at 20˚C.
The pipe is 2 cm in diameter, and the pressure gradient driving the
flow is 0.8 Pa/m.
- Find the x-sectional average velocity (Poiseuille’s Law) and
the maximum velocity achieved at the centerline of the pipe (use
the equation for Umax presented in the alternative
derivation of Poiseuille’s Law). How many times greater is the
maximum velocity compared to the average velocity?
- Is this ū/umax ratio constant or does it vary with
some other parameter? Prove your answer by deriving an equation for
ū/umax from the equations used in part.
- Verify that the flow is laminar.