## Pipe Flow Types

A Newtonian fluid with a kinematic viscosity of 0.02 m^2/s flows through a 10 mm diameter pipe with a velocity of 10 m/s. Is the flow through the pipe characterized as laminar, turbulent, or transitional?

Hint
Flow through a pipe is generally characterized as laminar for Re < 2,100, fully turbulent for Re > 10,000, and transitional flow for 2,100 < Re < 10,000.
Hint 2
The Reynolds number for a Newtonian fluid:
$$Re=\frac{vD}{\nu }$$$where $$v$$ is the fluid velocity, $$D$$ is the pipe diameter or the fluid stream dimension or the characteristic length, and $$\nu$$ is the kinematic viscosity. The Reynolds number for a Newtonian fluid: $$Re=\frac{vD}{\nu }$$$
where $$v$$ is the fluid velocity, $$D$$ is the pipe diameter or the fluid stream dimension or the characteristic length, and $$\nu$$ is the kinematic viscosity.
$$Re=\frac{(10m/s)(0.01m)}{0.02m^2/s}=5$$\$
Flow through a pipe is generally characterized as laminar for Re < 2,100, fully turbulent for Re > 10,000, and transitional flow for 2,100 < Re < 10,000.

Since $$Re=5<2,100$$ , the flow is characterized as laminar.
Laminar