continuity equation
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321ATTENTION!!!!!!
Continuity Equation
Group 7 (11.10) :Setiyani Puji Arini
Suhartini Lestari PutriWida Maya Mustika
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Definition Formula
Application Conclusion
Continuity Equation
• 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 flow.
• This principle is known as the conservation of mass.
• This equation for the ideal fluid (incompressible, nonviscous and has steady flow).
Definition
m1 = m2
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/tWhere :Q = rate (m3/s)A = Area (m2)v = Velocity (m/s)V = Volume (m3)t = time (s)
Formula
Application in daily life
The velocity water of garden hose before we hold it and after we hold it
The river with different area which change along their length
Water gunVolumetric pipetteEtc..
A2
A1
V1
V2
Example of Continuity Equation in The River
Area
Area
Area
Problem Sample
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 :
Conclusion
• Continuity Equation says fluid speeds up going to smaller opening, slows down going to larger opening
• Velocity of fluid which is incompresible 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/tutorkits/
The End