Water is flowing through a horizontal venturimeter with a bore of 0. 2 m at entrance and of 0.15 m at the throat. The level of water column in two limbs differ 0.15 m calculate rate of flow of water ( Given - Density of water 10^3 kg/m^3)
Answers
Answer:
A venturi meter is used to measure the flow speed of a fluid in a pipe. The meter is connected between two sections of the pipe ; the cross-sectional area A of the entrance and exit of the meter matches the pipes cross-sectional area. Between the entrance and exit, the fluid flows from the
pipe with speed V and then through a narrow throat of cross-sectional area a with speed v. A manometer connects the wider
portion of the meter to the narrower portion. The change in the fluids speed is accompanied by a change △p in the fluids pressure, which causes a height difference h of the liquid in the two arms of
the manometer. (Here △p means pressure in the throat minus pressure in the pipe.)
(a) By applying Bernoullis equation and the
equation of continuity to points 1 and 2, show that v=
ρ(a
2
−A
2
)
2a
2
△p
,
where r is the density of the fluid. (b) Suppose that the fluid is fresh water, that the cross-sectional areas are 64cm
2
in the pipe and 32cm
2
in the throat, and that the pressure is 55kPa in the pipe and 41kPa in the throat. What is the rate of water flow in cubic meters per second?
Answer:
Above question is correct