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VENTURYMETER TUBE
ApliCAtion of Bernoulli’s lAw
P               I               C
        H               S
                            I
Group 3 :
Della Nadya Ayu Aprilia
Diah Meiliska Aziz
Dhiastiti Rahma Salsabila
Farlan Sembiring
VenturImeter
Venturimeter is an instrument used to
measure fluid flow velocity in the
pipeline

   This tool works based on ventury effect
Venturimeter




Venturimeter    Venturimeter
    With          Without
 Manometer       Manometer
Venturimeter With Manometer
                Venturimeter the
                manometer is a joint
                application between
                venturimeter and pitot
                tubes. Its function is to
                measure the rate of
                fluid.
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
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
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.
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
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
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
Application of Venturimeter

1.   Mining Installation




2.   Lab Test Equipment
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).
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
Bibliography

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Fisika venturimeter

  • 2. P I C H S I Group 3 : Della Nadya Ayu Aprilia Diah Meiliska Aziz Dhiastiti Rahma Salsabila Farlan Sembiring
  • 3.
  • 4. VenturImeter Venturimeter is an instrument used to measure fluid flow velocity in the pipeline  This tool works based on ventury effect
  • 5. Venturimeter Venturimeter Venturimeter With Without Manometer Manometer
  • 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
  • 13. Application of Venturimeter 1. Mining Installation 2. Lab Test Equipment
  • 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