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Group 7 (11.10) :
Setiyani Puji Arini
Suhartini Lestari Putri
Wida Maya Mustika

p h y s i c
ACCES GRANTED
Continuity Equation
Definition

Formula

Application

Conclusion
• Continuity equation is the flow rate has the
same value (fluid isn’t appearing or
disappearing) at every position along a tube
that has a single entry and a single exit for fluid
Definition
flow.
• This principle is known as the conservation of
mass.
• This equation for the ideal fluid
(incompressible, nonviscous and has steady
flow).
m1 = m2
Formula

ρ1.V1 = ρ2.V2
ρ1 (A1.x1) = ρ2 (A2.x2)
ρ1.A1 (v1.Δt1) = ρ2.A2 (v2.Δt2)
Formula
Formula :

A1 v1 = A2 v2
Where :
A = Area (m2)
v = Velocity (m/s)
Formula

Q= Av = V/t
Where :
Q = rate (m3/s)
A = Area (m2)
v = Velocity (m/s)
V = Volume (m3)
t = time (s)
The velocity water of The river with different
garden hose before we area which change
hold it and after we
along their length
hold it

Application in daily life
Water gun
Volumetric pipette
Etc..
V1

A1

V2
A2

Example of Continuity Equation in The River
Area
Area
Area
Fluid flows in the pipe that has differrent radius, radius and
velocity of position A are 3 cm and 8m/s, how much the
velocity of water of position B and C, if radius of B and C are 1
cm and 5 cm?
Known : rA= 3cm → 3 x 10-2 m2 vA= 8m/s
rB= 1 cm → 1 x 10-2 m2 rC= 5 cm → 5x 10-2 m2
Question : vB and vC?
Answer :

Problem Sample
• Continuity Equation says fluid speeds up going
to smaller opening, slows down going to larger
opening
• Velocity of fluid which is incompresible
Conclusion
Inverse with area of the pipe where the fluids
are flowing
Sources
• EBVF4103 (Chapter 3) Fluid
Mechanics for Civil Engineering
• http://ctmd.oum.edu.my/v2/tut
orkits/
The End

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Continuity Equation

  • 2. ENTER THE PASSWORD Group 7 (11.10) : Setiyani Puji Arini Suhartini Lestari Putri Wida Maya Mustika p h y s i c ACCES GRANTED
  • 4. • Continuity equation is the flow rate has the same value (fluid isn’t appearing or disappearing) at every position along a tube that has a single entry and a single exit for fluid Definition flow. • This principle is known as the conservation of mass. • This equation for the ideal fluid (incompressible, nonviscous and has steady flow).
  • 5. m1 = m2 Formula ρ1.V1 = ρ2.V2 ρ1 (A1.x1) = ρ2 (A2.x2) ρ1.A1 (v1.Δt1) = ρ2.A2 (v2.Δt2)
  • 6. Formula Formula : A1 v1 = A2 v2 Where : A = Area (m2) v = Velocity (m/s)
  • 7. Formula Q= Av = V/t Where : Q = rate (m3/s) A = Area (m2) v = Velocity (m/s) V = Volume (m3) t = time (s)
  • 8. The velocity water of The river with different garden hose before we area which change hold it and after we along their length hold it Application in daily life Water gun Volumetric pipette Etc..
  • 9. V1 A1 V2 A2 Example of Continuity Equation in The River
  • 10. Area
  • 11. Area
  • 12. Area
  • 13. Fluid flows in the pipe that has differrent radius, radius and velocity of position A are 3 cm and 8m/s, how much the velocity of water of position B and C, if radius of B and C are 1 cm and 5 cm? Known : rA= 3cm → 3 x 10-2 m2 vA= 8m/s rB= 1 cm → 1 x 10-2 m2 rC= 5 cm → 5x 10-2 m2 Question : vB and vC? Answer : Problem Sample
  • 14. • Continuity Equation says fluid speeds up going to smaller opening, slows down going to larger opening • Velocity of fluid which is incompresible Conclusion Inverse with area of the pipe where the fluids are flowing
  • 15. Sources • EBVF4103 (Chapter 3) Fluid Mechanics for Civil Engineering • http://ctmd.oum.edu.my/v2/tut orkits/