1.Previous
3.Next

is the mean velocity, or , relative to the fluid (m/s),
* is the characteristic length (m),
* is the fluid density (kg/m³).

If we now set
:

we can rewrite the Navier-Stokes equation without dimensions:
:

where the term .

Finally, dropping the primes for ease of reading:
:

This is why mathematically all Newtonian, incompressible flows with the same Reynolds number are comparable. Notice also that in the above equation, the viscous terms vanish for . Thus flows with

1.Previous
3.Next