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A presentation
On
Fluid mechanics
Topic : orifices and mouthpieces
Mechanical Department
What is Orifice?
• Orifice is a small opening of cross-section on
the side at the bottom of a tank.
• Used for measuring the rate of flow of fluid.
Classification Orifice:
Orifice
1. Depending upon the size of orifice.
2. Depending upon their cross-sectional area.
3. Depending upon the shape of upstream edge.
4. Depending upon the nature of discharge.
 Applying Bernoulli's
equation at points 1 & 2,
 We get
𝑝1
𝜌𝑔
+
𝑣1
2
2𝑔
+𝑧1 =
𝑝2
𝜌𝑔
+
𝑣2
2
2𝑔
+𝑧2
But 𝑧1 = 𝑧2
so, 𝑝1
𝜌𝑔
+
𝑣1
2
2𝑔
= 𝑝2
𝜌𝑔
+
𝑣2
2
2𝑔
Flow through Orifice:
Now, 𝑝1
𝜌𝑔
=H and 𝑝2
𝜌𝑔
= 0 (atmospheric pressure)
Here, 𝑣1 is very small i.c.t. 𝑣2 .
So H + 0 = 0 +
𝑣2
2
2𝑔
𝑣2= 2𝑔𝐻
This is theoretical velocity.
HYDRAULIC CO-EFFICIENTS
• Co-efficient of velocity, Cv
• Co-efficient of contraction, Cc
• Co-efficient of discharge, Cd
Cv =
actual velocity of jet at vena−contracta
theoretical velocity
Cv =
𝑉
2𝑔𝐻
The value of Cv varies from 0.95 to 0.99 for different
orifices.
1. Co-efficient of Velocity, Cv
2. Co-efficient of Contraction, Cc
Cc =
area of the jet at vena−contracta
area of the orifice
Cc =
𝑎𝑐
𝑎
The value of Cc varies from 0.61 to 0.69 for different
orifices.
3. Co-efficient of Discharge, Cd
Cd =
𝑄
𝑄 𝑡ℎ
=
actual velocity ∗ actual area
theoretical velocity ∗ theoretical area
Cd = Cc* Cv
The value of Cd varies from 0.61 to 0.65 for different
orifices.
Thank You 

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Orifice and mouthpieces

  • 1. A presentation On Fluid mechanics Topic : orifices and mouthpieces Mechanical Department
  • 2. What is Orifice? • Orifice is a small opening of cross-section on the side at the bottom of a tank. • Used for measuring the rate of flow of fluid.
  • 3. Classification Orifice: Orifice 1. Depending upon the size of orifice. 2. Depending upon their cross-sectional area. 3. Depending upon the shape of upstream edge. 4. Depending upon the nature of discharge.
  • 4.  Applying Bernoulli's equation at points 1 & 2,  We get 𝑝1 𝜌𝑔 + 𝑣1 2 2𝑔 +𝑧1 = 𝑝2 𝜌𝑔 + 𝑣2 2 2𝑔 +𝑧2 But 𝑧1 = 𝑧2 so, 𝑝1 𝜌𝑔 + 𝑣1 2 2𝑔 = 𝑝2 𝜌𝑔 + 𝑣2 2 2𝑔 Flow through Orifice:
  • 5. Now, 𝑝1 𝜌𝑔 =H and 𝑝2 𝜌𝑔 = 0 (atmospheric pressure) Here, 𝑣1 is very small i.c.t. 𝑣2 . So H + 0 = 0 + 𝑣2 2 2𝑔 𝑣2= 2𝑔𝐻 This is theoretical velocity.
  • 6. HYDRAULIC CO-EFFICIENTS • Co-efficient of velocity, Cv • Co-efficient of contraction, Cc • Co-efficient of discharge, Cd
  • 7. Cv = actual velocity of jet at vena−contracta theoretical velocity Cv = 𝑉 2𝑔𝐻 The value of Cv varies from 0.95 to 0.99 for different orifices. 1. Co-efficient of Velocity, Cv
  • 8. 2. Co-efficient of Contraction, Cc Cc = area of the jet at vena−contracta area of the orifice Cc = 𝑎𝑐 𝑎 The value of Cc varies from 0.61 to 0.69 for different orifices.
  • 9. 3. Co-efficient of Discharge, Cd Cd = 𝑄 𝑄 𝑡ℎ = actual velocity ∗ actual area theoretical velocity ∗ theoretical area Cd = Cc* Cv The value of Cd varies from 0.61 to 0.65 for different orifices.