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Government College Of Engineering,
           Aurangabad.




              By:-
                  Nikhil Pakwanne
                              1
What Is Kinematics Of Fluid?

 Fluid Kinematics is the study of fluid in
motion where pressure forces are not
considered.

It is generally a continuous function in
space and time.
   Lagrangian Method:-

         Describes a defined mass (position,
          velocity, acceleration, pressure,
          temperature, etc.) as functions of
          time.

         Ex:- Track the location of a
          migrating bird.
Eulerian Method :-

  Describes the flow field
  (velocity, acceleration, pressure,
  temperature, etc.) as functions of
  position and time.

  Ex:- Count the birds passing a
  particular location.
 Types Of Fluid Flow:-
1) Steady & Unsteady Flows.

2) Uniform & Non-uniform Flows.

3) Laminar & Turbulent Flows.

4) Compressible & Incompressible Flows.

5) Rotational & Irrotational Flows.

6) One , Two & Three Dimensional
   Flows.
    Steady & Unsteady Flows:-

    Steady Flows:-

   In which the fluid Characteristics
    Like velocity, pressure, density , etc.
    At a Point do not change with time.
   Unsteady Flow:-

In    which the fluid
    velocity , pressure
    or density at a
    point changes
    with respect to
    time.
                          Changing in time
 Uniform & Non-uniform
            Flow :-

Uniform Flow:-

In which the velocity at given time
does not change with respect to space
( length of direction of the flow ).
Non-Uniform
 Flow:-
In which the
                     Changing in space
 velocity at any
 time changes with
 respect to space.
    Laminar Flow:-
     in which the
     fluid particles
     move along well
     defined paths or
     stream line.



                        Fig. Laminar Flow
Turbulent Flow:-


  fluid moves in very
 irregular paths or zig
 –zag Way.

efficient mixing.


velocity  at a point
 fluctuates.
                          Fig. Turbulent Flow
Compressible & Incompressible Flows:-

Compressible Flows:-

In which the density of the fluid changes
from point to point.
The density is not constant for the fluid.

Incompressible Flows:-

 In which the density of fluid changes from point to
point.
 the density is constant for the fluid.
Rotational & Irrotational Flows:-

Rotational Flows :-

In which the fluid particles while flowing
along stream lines, Also rotate about their
own axis.

Irrotational Flows:-

In which the fluid particles while flowing
along stream lines, do not rotate about their
own axis.
 One , Two & Three Dimensional
              Flows:-
 One Dimensional Flow:-

In which the flow parameter
such as velocity is a function of
time and

one space co-ordinate only.
 Two Dimensional Flows:-


In which the velocity is a
function of time and

two rectangular space
co-ordinates.
 Three Dimensional Flows:-

In which the velocity is the
function of time and

Three mutually perpendicular
directions.
Flow Visualization:-
Flow Visualization is the visual examination of
flow-field features.

Important for both physical experiments and
  Numerical Solutions.

Numerous Methods:-
   1) Streamlines.

   2) Pathlines.

   3) Streaklines.
Streamline:-
A Streamline is a curve that is everywhere
tangent to the instantaneous local
velocity vector.

It has the direction of the velocity vector
at each point no. of flow across the streamline.
steady  flow
streamlines are
fixed in space.

  But, unsteady
flow
streamlines
moves.             Fig. Streamline
Pathline:-

A Pathline is the actual path travelled
by an individual fluid particle over
some time period.


Same as the fluid particle's material
position vector .
 And the path of a particle same as
 Streamline for Steady Flow.




           Fig. Pathline
Streakline:-

A streakline is the locus of fluid
particles that have passed sequentially
through a prescribed point in the flow.

Easy to generate in experiments like
dye in a water flow, or smoke in an
airflow.
 And a tracer
 injected
 continuously into
 a flow.

 same as pathline
 and streamline
 for steady flow.

                     Fig.Streakline
FLUID
     MECHANICS BY
BANSAL

http://en.wikipedia.org
Appreciate
      your time and attention!

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Kinematics of fluid flow & it’s application.

  • 1. Government College Of Engineering, Aurangabad. By:- Nikhil Pakwanne 1
  • 2.
  • 3. What Is Kinematics Of Fluid?  Fluid Kinematics is the study of fluid in motion where pressure forces are not considered. It is generally a continuous function in space and time.
  • 4. Lagrangian Method:-  Describes a defined mass (position, velocity, acceleration, pressure, temperature, etc.) as functions of time.  Ex:- Track the location of a migrating bird.
  • 5. Eulerian Method :- Describes the flow field (velocity, acceleration, pressure, temperature, etc.) as functions of position and time. Ex:- Count the birds passing a particular location.
  • 6.  Types Of Fluid Flow:- 1) Steady & Unsteady Flows. 2) Uniform & Non-uniform Flows. 3) Laminar & Turbulent Flows. 4) Compressible & Incompressible Flows. 5) Rotational & Irrotational Flows. 6) One , Two & Three Dimensional Flows.
  • 7. Steady & Unsteady Flows:-  Steady Flows:-  In which the fluid Characteristics Like velocity, pressure, density , etc. At a Point do not change with time.
  • 8. Unsteady Flow:- In which the fluid velocity , pressure or density at a point changes with respect to time. Changing in time
  • 9.  Uniform & Non-uniform Flow :- Uniform Flow:- In which the velocity at given time does not change with respect to space ( length of direction of the flow ).
  • 10. Non-Uniform Flow:- In which the Changing in space velocity at any time changes with respect to space.
  • 11. Laminar Flow:-  in which the fluid particles move along well defined paths or stream line. Fig. Laminar Flow
  • 12. Turbulent Flow:-  fluid moves in very irregular paths or zig –zag Way. efficient mixing. velocity at a point fluctuates. Fig. Turbulent Flow
  • 13. Compressible & Incompressible Flows:- Compressible Flows:- In which the density of the fluid changes from point to point. The density is not constant for the fluid. Incompressible Flows:-  In which the density of fluid changes from point to point.  the density is constant for the fluid.
  • 14. Rotational & Irrotational Flows:- Rotational Flows :- In which the fluid particles while flowing along stream lines, Also rotate about their own axis. Irrotational Flows:- In which the fluid particles while flowing along stream lines, do not rotate about their own axis.
  • 15.  One , Two & Three Dimensional Flows:-  One Dimensional Flow:- In which the flow parameter such as velocity is a function of time and one space co-ordinate only.
  • 16.  Two Dimensional Flows:- In which the velocity is a function of time and two rectangular space co-ordinates.
  • 17.  Three Dimensional Flows:- In which the velocity is the function of time and Three mutually perpendicular directions.
  • 18. Flow Visualization:- Flow Visualization is the visual examination of flow-field features. Important for both physical experiments and Numerical Solutions. Numerous Methods:- 1) Streamlines. 2) Pathlines. 3) Streaklines.
  • 19. Streamline:- A Streamline is a curve that is everywhere tangent to the instantaneous local velocity vector. It has the direction of the velocity vector at each point no. of flow across the streamline.
  • 20. steady flow streamlines are fixed in space.  But, unsteady flow streamlines moves. Fig. Streamline
  • 21. Pathline:- A Pathline is the actual path travelled by an individual fluid particle over some time period. Same as the fluid particle's material position vector .
  • 22.  And the path of a particle same as Streamline for Steady Flow. Fig. Pathline
  • 23. Streakline:- A streakline is the locus of fluid particles that have passed sequentially through a prescribed point in the flow. Easy to generate in experiments like dye in a water flow, or smoke in an airflow.
  • 24.  And a tracer injected continuously into a flow.  same as pathline and streamline for steady flow. Fig.Streakline
  • 25. FLUID MECHANICS BY BANSAL http://en.wikipedia.org
  • 26. Appreciate your time and attention!