|
|
||||
|
*69. ssm A Venturi
meter is a device that is used for measuring the speed of a fluid within a
pipe. The drawing shows a gas flowing at speed u2 through a horizontal section of
pipe whose cross-sectional area is A2 = 0.0700 m2.
The gas has a density of ρ = 1.30 kg/m3. The Venturi meter has a cross-sectional area of A1
= 0.0500 m2 and has been substituted for a section of the larger
pipe. The pressure difference between the two sections is P2
- P1 = 120 Pa. Find (a) the speed u2 of the gas in the larger, original
pipe and (b) the volume flow rate Q of the gas. |
||||
|
|
||||
|
|
||||
|
Bernoulli equation gives us |
||||
|
|
||||
|
|
||||
|
Make the assumption that |
||||
|
|
||||
|
Bernoulli reduces to |
||||
|
|
||||
|
Solve for difference in
pressure |
||||
|
|
||||
|
|
||||
|
Equation of Continuity gives |
||||
|
|
||||
|
|
||||
|
Assume an incompressible gas
and |
||||
|
|
||||
|
|
||||
|
And solving for v1 |
||||
|
|
||||
|
|
||||
|
|
||||
|
|
||||
|
Now Solve for v2 |
||||
|
|
||||
|
|
||||
|
|
||||
|
|
||||
|
|
||||
|
|
||||
|
|
||||
|
|
||||
|
|
||||
|
|
||||
|
|
||||
|
||||
|
|
||||
|
|
||||
|
||||
|
|
