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Continuity Equation

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Lestari Putri
Lestari Putri

1. The document discusses the continuity equation, which states that the flow rate of an incompressible fluid is constant at any point in a fluid system with no accumulation. 2. The formula for continuity equation is given as: 1A1v1 = 2A2v2, where is density, A is cross-sectional area, and v is velocity. 3. Examples of applications include calculating water velocity changes in pipes or rivers of varying diameters, and a sample problem is worked out calculating velocities at different pipe positions.

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1 2 3 ATTENTION!!!!!!
ENTER THE PASSWORD 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 isnt 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 1.V1 = 2.V2 1 (A1.x1) = 2 (A2.x2) 1.A1 (v1.t1) = 2.A2 (v2.t2)
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/
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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 isnt 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 1.V1 = 2.V2 1 (A1.x1) = 2 (A2.x2) 1.A1 (v1.t1) = 2.A2 (v2.t2)
  • 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/