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Transcript
9TH CLASSES
PHYSICS
DAILY PLAN
SUBJECT: FLUID DYNAMICS
GOALS: To learn the relation between the velocity
and the pressure of a liquid –Bernoulli’s Principle
DURATION:
IN PRACTICE: Airplane
PRESENTATION:
Steady flow: Each particle of the fluid follows a smooth path,
and the path of each particle does not cross each other.
Nonsteady flow (turbulent): When the flow lines cross each
other nonsteady flow occurs.
Viscosity: The degree of internal friction within the fluid
Now let us look at some general characteristics of fluid flow
1-) Fluid flow can be steady or nonsteady.
2-) Fluid flow can be rotational or irrotational.
3-) Fluid flow can be compressible or incompressible.
4-) Fluid flow can be viscous or nonviscous. We shall deal
with steady, irrotational, incompressible and nonviscous fluids
A1 and A2?
Ex.4 A water hose is used to fill a 20 lt bucket. It fills the bucket
in 50 s. If the cross-sectional area of the hose is 40 cm2 a) What
is the speed v at which the water leaves the hose? b) If the crosssectional area of the hose is reduced to 20 cm2 what will be
velocity v?
Ex.5 A water tunnel at a diameter of 3,6 m ends at a diameter
of 1,2 m. The velocity V1 =3 m/s. What is the velocity of the
water at the other end?
BERNOULLI’S EQUATION
Bernoulli’s equation says that the sum of the pressure, (P), the
kinetic energy per unit volume,1/2 v2, and potential energy per
unit volume, gh, has the same value at all points along a
streamline.
STREAMLINES AND EQUATION OF CONTINUITY
Streamline: The path taken by a fluid particle under steady flow.
No two streamlines can cross each other. The velocity of the
fluid particle is always tangent to the streamline.
The amount of
water that pass
through crosssectional area
A1 in a unit
time is equal
the amount of
water that pass
through crosssectional area
A2. The
velocity of
a)A1/ A2=?
b)P2-P1=?
Ex.3
P1-P12=?
water through A1 is V1 and through A2 is V2.
X1 V1. t
M1= .A1 X1
M1= .A1V1 t
M2= .A2.V2t
 M1 = M2
.A1V1 t= .A2.V2t
A1V1= A2.V2
This is the equation of continuity. A*V is called volume flux or
flow rate and it is constant in all cross-sectional areas in a tube.
EX:1
a) V2 =?
b) What is flow
rate?
Ex.2
If the flow rate
in the tube
shown is 0,02
m3/s. What are
V1 and V2?
Ex.3
If the flow rate in the
tube shown is 24
rn3/s.What are
crossectional areas
HOMEWORK:
MULTIMEDIA:
DEMONSTRATION:
EXPERIMENT:
TEACHER:
DIRECTOR: