This document discusses key concepts related to fluid flow including: 1) Rate of flow (discharge) is defined as the volume or weight of fluid flowing through a cross section per second. 2) For incompressible fluids, the continuity equation states that the rate of flow is constant at all points in a fluid system. 3) By applying the continuity equation and knowing the velocities and cross sectional areas at two points, the velocity at one point can be calculated if the other is known.

1. II MODULE
FLUID IN MOTION
By
SINY MARY LONA

2. ●Continuity Equation:

3. ●Rate of Flow of Discharge(Q)
●It is defined as Quantity of fluid flowing per second through a section of a pipe or channel.
● For an Incompressible fluid :Rate of flow is usually expressed as Volume of fluid flowing across the sec
●For Compressible Fluid : Rate of flow is usually expressed as weight of fluid flowing across the section
●For Liquid Q=m3/s.

7. ●V1= Average Velocity at 1-1
●(rho)1= Density at section1-1
●A1= Area of Cross section 1-1
●Rate of flow at 1-1=(rho)1*A1*V1
●Rate of Flow at 2-2=(rho)2*A2*V2
●Law of Conservation of Mass:
●Rate of flow at 1-1=Rate of flow at 2-2
●(rho)1*A1*V1=(rho)2*A2*V2
●For incompressible fluid(rho)1=(rho)2
●A1*V1=A2*V2

8. ●The Diameter of a pipe at 1 and 2 are at 10cm and 15cm respectively .Find Discharge through pipe if vel
●Solution: D1=10cm=0.1m A1=0.00785m2
● D2=15cm=0.15m A2=0.01766m2
●As per Rate of Discharge
●Q=A1*V1=0.00785*5=0.0392m3
/s
●As per Continuity Equation:Q=A1*V1=A2*V2
●0.00785*5=0.01766*V2
●V2=2.22m/s
●The Velocity at section 2 V2=2.22m/s

10. EXPLAIN THE CONCEPT

11. ● THANK YOU