## 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**

**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**

**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