Venturimeter is an instrument that uses Bernoulli's principle to measure fluid flow velocity. It works by measuring the difference in pressure or height of a liquid manometer at two different points in a venturi tube where the cross sectional area changes. There are two main types - one with a manometer to directly measure the pressure difference, and one without where the velocity is calculated using the area ratio and pressure change equations from Bernoulli's law. Venturimeters have applications in areas like measuring smokestack air flow, laboratory testing of fluids, and monitoring flows in pipes, vehicles, and medical devices.
6. Venturimeter With Manometer
Venturimeter the
manometer is a joint
application between
venturimeter and pitot
tubes. Its function is to
measure the rate of
fluid.
7. From Bernouli’s law equation : So, if the formula subtitued into
the first equation,
P1 + 1 ρv1² + ρgh1 = P2 + 1 ρv2² + ρgh2 2
2 2 P2+ (ρ’- ρ)gh + : 1 ρv1² = P2 + 1 ρ A1. v1
it become 2 [ ]
2 A2
Because the cylinder is 1 ρ A1. v1 2 1 ρv1²
horizontal
(ρ’- ρ)gh =
2 [ A2 2
]
so, h1=h2 :
1 1 (ρ’- ρ)gh = 1 ρv1² A ² 1
[ 1
]
P1 + ρv1² = P2 + ρv2² 2 A² 2
2 2 (ρ’- ρ)gh
v1² =
1 ρ A² 1
P1+ ρgh = Phidrostatic pressure
With Used 2 + ρ’gh 2 [ A²
1
2
]
P1 = P2 get : ρ)gh
will + (ρ’-
2(ρ’- ρ)gh
v1 =
ρ A² 1
A1. v1 = A2. v2 v2 = A1. v1
[ A²
1
2
]
From kontinuitas equation it will
A2 2(ρ’- ρ)gh
be : v1 = A 2
ρ(A ² - A ²)
1 2
The Formula of Venturimeter With
Manometer
8. Sample of Question
Pipes Venturi meter has a cross of each 8 × 10 ¯ ² m² and 5 × 10 ¯ ³ ² is used to measure the
speed of the water. If the height difference in the two mercury manometer is 0.2 m and g = 10
m / s ², find the speed of the water (ρ mercury = 13,600 kg / m³, water ρ = 1000 kg / m³).
Answer
Known : A1 = 8 10¯² m², A2 = 5 10¯³ m², h = 0,2 m, and g = 10 m/s².
2(ρ’- ρ)gh
v1 = A2
ρ(A ² - A ²)
1 2
= 5 10¯³ 2 (13.600 – 1000) (10) (0.2)
1000 [(8 10¯²)² - (5 10¯³)²]
v1 = 0,44 m/s
9. Venturimeter Without Manometer
Working Principle Venturimeter without
manometer is based on the Bernoulli principle,
which reads: In the horizontal pipe (horizontal),
fluid pressure is greatest at the smallest lag its
flow, and pressure is at least part of its flow
speed of most.
10. From Bernouli’s law equation : Difference P1 and P2 together
P11+ P1ρv1²²+ ρgh+ =vP2 +² 1 ρv2² + ρgh2
P – 12 = 1 ρ (v2²1– 11²) 2
+ ρv1 = P 2 ρv with the hydrostatic
22 2 2 2
pressureρgh the liquid height h
P1 – P2 = of
Based on kontinuitas equation : is:
A1. v1 = A2. v2 v2 = A1. v1
A2
ρgh = 1 ρv1² ( A1 )² – 1
[
So,its obtained : So that 2
: A2 ]
1
P 1 – P2 =
2 [
ρ ( A1. v1 )² – v1²
A2 ] v1² =
2gh
A²
1
1
A²
2
P1 – P2 = 1 ρv1² ( A1 )² – 1
[
2 A2 ] v1 =
2gh
A 2
[ ] A
1
2
1
The Formula of Venturimeter Without Manometers
11. Sample of Question
Completion :
v1 = 2gh 2.10.0,1
v1 =
A 2 1
[ ]
1
A
2
3 2
[ ]
1
1
v1 = 2
8
v1 = 1 m/s
A venturi meter tool used to measure a 2
velocity of water flow in pipes.
Apparently the difference between high water Kontinuitas equation :
the large cross-section of the large and small A1. v1
pipe 10 cm. if v2 =
comparative cross-sectional area A2
large and small is 3:1.
What is the speed of water flow v2 = 3 x 1
the large cross section 1 2
and small?
v2 = 3 m/s
2
12. Uses and Applications
Smokestacks
Calculating flow rate of fluid in a tube
Setting the flow of gasoline in the
ignition system of a motor vehicle
In the field of medicine, has also
designed venturi meter is used to
measure the rate of blood flow in the
arteries
14. Mechanism Work of Smokestacks
First, the smoke of burning has high temperature heat. Due to high
temperatures,so the density of air is small. If the air wich have a
Small density, it’s easy float moves up. The reason
not just this, from Bernoulli's Principle is also involved in this
matter.
Second, Bernoulli’s principle says that if the air flow rate is high
then the pressure becomes low, otherwise if the air flow rate is
low, the pressure is high. Remember that the top chimneys are
outdoors. There is a wind blowing at the top of the chimney, so that
the air pressure surrounding smaller. In the closed room no wind
blowing, so the air pressure greater. So, the smoke dribbled out
through the chimney. (air moving from a high-pressure air to a low
air pressure).
15. Conclusion
Venturimeter is an instrument used to
measure fluid flow velocity in the pipeline
The formula of venturimeter without
manometer are : v = 2gh
1
2
A
[ ]
1
A
2
1
The formula of venturimeter with manometer
are : v = A
1 2
2(ρ’- ρ)gh
ρ(A ² - A ²)
1 2