A venturi meter is a device that is used for measuring the speed of a fluid with
ID: 1481608 • Letter: A
Question
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 V2 through a horizontal section of pipe whose cross sectional area is A2=0.0700 m2. the gas density of p=1.30kg/m3. the venturi meter has a cross sectional area of A1=0.0500m2 and has been substituted for a section of the larger pipe. the pressure difference between the two sections is P2-P1=120Pa. find (a) the speed of V2 of the gas in the larger original pipe and (b) the volume flow rate Q of the gas.
Explanation / Answer
from equation of continuity
A1*v1 = A2*v2
v1 = A2*v2/A1 = (0.07/0.05)*v2 = 1.4v2
from Bernoullis theorem
P1 + 0.5*rho*v1^2 = P2 + 0.5*rho*v2^2
P2-P1 = 0.5*rho*(v1^2-v2^2)
120 = 0.5*1.3*((1.4v2)^2-v2^2)
v2 = 13.86 m/s
++++++++++++++
b)
flow rate = A2*v2 = 0.07*13.86 = 0.9702 m^3/s
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