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Government College Of Engineering, Aurangabad.

By:-

Nikhil Pakwanne

Kinematics Of Fluid Flow & It’s

Application.

Kinematics Of Fluid Flow & It’s

Application.

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.

METHODS OF DESCRIBING FLUID MOTION:-

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 velocity at any time changes with respect to space.

Changing in space

LAMINAR & TURBULENT FLOWS:-

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 Dimensional Flow:-

One , Two & Three Dimensional Flows:-

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 is the visual examination of flow-field features.

Important for both physical experiments and Numerical Solutions.

Numerous Methods:-

1) Streamlines.

2) Pathlines.

3) Streaklines.

Flow Visualization:-

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

REFERENCES

Thank You

Appreciate your time and attention!