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Fluid Mechanics - Flow Classification

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These comprehensive notes cover the essential concepts of flow classification, a fundamental topic in fluid mechanics. Beginning with an introduction to key terms like velocity and flow, the notes delve into various classification methods, including Eulerian and Lagrangian viewpoints. They further explore flow visualization techniques, introducing streamlines, stream tubes, and streak lines while also examining the significance of vortex flow. Parameters such as velocity, discharge, and pressure are thoroughly discussed, followed by an analysis of flow patterns categorized by time and distance. The notes also shed light on typical flow types, dimensional flow considerations, and the concept of control volume in fluid mechanics. Enhanced with diagrams and real-world examples, these notes offer valuable insights into understanding and analyzing fluid behaviour.

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MODULE 2
VELOCITY STREAKLINES
·

Langarian view-point Canalytical) ↳ difficult to construct
↳ considers the individual fluid particle all the time .
a streamline of a real

Velocity is obtained by differentiating the particle's flow since individual
position vector with respect to time . Motion fluid particles are not visible to
of
entire flow field = solve momentum naked
equation eye
for each particle ↳ injecting dye into flow is a simple method
↳ Applied in varefied gas
dynamics to obtain streamline information
Fulerian approach (experimental) ↳
dye will trace out a path known
·
as a

↳ focus on a certain point in space' consider "streakline" which can be photographed
the motion of fluid particles that pass that
point as time
goes on VORTEX
Most * ↳ flow for which streamlines

applied approach
are concentric circles with
FLOW VISUALISATION a well-defined core
It's useful to construct lines in flow fluid to

indicate speed3 direction Not to be confused with rotational flow
*


Which is circular motion of fluid particles
No internal Without a distinct vortex structure
friction

viscosity FLOW PARAMETERS

·
Velocity :
V(s , t) ; S =
position along streamline
↳ Ideal fluid t =
time
·
Discharge : Q(V t) ; , volume per second passing
Friction at a given point
wall surface ·
Pressure (P pgh)
=
or depth leg .
river or channel)

FLOW CLASSIFICATION
↳ Real fluid ↳ characterised Two classes TIME DISTANCE
by :



· Time :
Steady ->
parameters decribing flow do not
STREAMLINES change with time

parameters do
↳ a live representing the Unsteady -
change with time

direction of flow of a series
·
Distance : Uniform - -
parameters decribing flow do not

of particles at a given vary with distance along a flow path
instant Non-uniform o parameters vary from point
-




flow path
↳Streamlines are
tangential to the
velocity rectors to point along a


of the fluid particles :: there is not flow
across the streamline . >
Flow between
-




parallel plates
STREAMTUBES Uniform
-




↳ a set of streamlines
arranged in the form of an
Converging flow
-




imaginary pipe/tube Non-uniform
-

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Uploaded on
February 21, 2025
Number of pages
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Written in
2024/2025
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Teboho mofokeng
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