Under normal subsonic conditions, the velocity of a compressible fluid tends to increase as the fluid flows through a pipe with friction. This statement seems counterintuitive, since we normally think of frictional forces as only serving to slow systems with moving parts. However, note the following:
For a constant mass flow rate:
W(in) = r(in) * v(in) * A(in) = r(out) * v(out) * A(out) = W(out) (Equation 1)
Where,
W = mass flow rate
r = fluid density
v = velocity
A = pipeline area
Also, from the Ideal gas law:
r = P/RT (Equation 2)
Where,
P = fluid pressure
R = gas constant
T = fluid temperature
As the fluid passes through the pipe:
- the pressure decreases
- the density also decreases, since it is proportional to pressure (see Equation 2)
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