Continuity Equation

1. 3 2 1 ATTENTION!!!!!!

2. Continuity Equation Group 7 (11.10) : Setiyani Puji Arini Suhartini Lestari Putri Wida Maya Mustika p h y s i c ENTER THE PASSWORD ACCES GRANTED

3. Definition Formula Application Conclusion Continuity Equation

4. Continuity equation is t he 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

5. m 1 = m 2 ρ 1 .V 1 = ρ 2 .V 2 ρ 1 (A 1 .x 1 ) = ρ 2 (A 2 .x 2 ) ρ 1 .A 1 (v 1 . Δ t 1 ) = ρ 2 .A 2 (v 2 . Δ t 2 ) Formula

6. Formula : A 1 v 1 = A 2 v 2 Where : A = Area (m 2 ) v = Velocity (m/s) Formula

7. Q= Av = V/t Where : Q = rate (m 3 /s) A = Area (m 2 ) v = Velocity (m/s) V = Volume (m 3 ) t = time (s) Formula

8. 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 gun Volumetri c pipette Etc..

9. A 2 A 1 V 1 V 2 Example of Continuity Equation in The River

10. Area

11. Area

12. Area

13. 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 : r A = 3cm → 3 x 10 -2 m 2 v A = 8m/s r B = 1 cm → 1 x 10 -2 m 2 r C = 5 cm → 5x 10 -2 m 2 Question : v B and v C ? Answer :

14. 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 a rea of the pipe where the fluids are flowing

15. Sources EBVF4103 (Chapter 3) Fluid Mechanics for Civil Engineering http://ctmd.oum.edu.my/v2/tutorkits/

16. The End