The document discusses key concepts in fluid dynamics including:
1) Bernoulli's principle states that an increase in fluid velocity results in a decrease in pressure.
2) Pascal's law describes how pressure is transmitted equally in all directions throughout a confined fluid.
3) Continuity equations states that the flow rate of a fluid remains constant regardless of changes to its velocity or pressure.
4) Venturi tubes use the Bernoulli effect to create areas of lower pressure by increasing fluid velocity through constrictions.
PPT on Bernoulli's Theorem ,with Application,Derivation, Bernoulli's Equation,Definition,About The Scientist ,Solved Example,Video Lecture,Solved Problem(Video),Dimensions.
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This ppt is more useful for Civil Engineering students.
I have prepared this ppt during my college days as a part of semester evaluation . Hope this will help to current civil students for their ppt presentations and in many more activities as a part of their semester assessments.
I have prepared this ppt as per the syllabus concerned in the particular topic of the subject, so one can directly use it just by editing their names.
PPT on Bernoulli's Theorem ,with Application,Derivation, Bernoulli's Equation,Definition,About The Scientist ,Solved Example,Video Lecture,Solved Problem(Video),Dimensions.
If you liked it don't forget to follow me-
Instagram-yadavgaurav251
Facebook-www.facebook.com/yadavgaurav251
This ppt is more useful for Civil Engineering students.
I have prepared this ppt during my college days as a part of semester evaluation . Hope this will help to current civil students for their ppt presentations and in many more activities as a part of their semester assessments.
I have prepared this ppt as per the syllabus concerned in the particular topic of the subject, so one can directly use it just by editing their names.
A fluid is a state of matter in which its molecules move freely and do not bear a constant relationship in space to other molecules.
In physics, fluid flow has all kinds of aspects: steady or unsteady, compressible or incompressible, viscous or non-viscous, and rotational or irrotational to name a few. Some of these characteristics reflect properties of the liquid itself, and others focus on how the fluid is moving.
Fluids are :-
Liquid : blood, i.v. infusions)
Gas : O2 , N2O)
Vapour (transition from liquid to gas) : N2O (under compression in cylinder), volatile inhalational agents (halothane, isoflurane, etc)
Sublimate (transition from solid to gas bypassing liquid state) : Dry ice (solid CO2), iodine
A fluid is a state of matter in which its molecules move freely and do not bear a constant relationship in space to other molecules.
In physics, fluid flow has all kinds of aspects: steady or unsteady, compressible or incompressible, viscous or non-viscous, and rotational or irrotational to name a few. Some of these characteristics reflect properties of the liquid itself, and others focus on how the fluid is moving.
Fluids are :-
Liquid : blood, i.v. infusions)
Gas : O2 , N2O)
Vapour (transition from liquid to gas) : N2O (under compression in cylinder), volatile inhalational agents (halothane, isoflurane, etc)
Sublimate (transition from solid to gas bypassing liquid state) : Dry ice (solid CO2), iodine
1 2-2 1 1 1 2 2 1 Solution Bernoullis principle is a seemin.pdfsktambifortune
1 2-2 1 1 1 2 2 1
Solution
Bernoulli\'s principle is a seemingly counterintuitive statement about how the speed of a fluid
relates to the pressure of the fluid. Many people feel like Bernoulli\'s principle shouldn\'t be
correct, but this might be due to a misunderstanding about what Bernoulli\'s principle actually
says. Bernoulli\'s principle states the following,
Bernoulli\'s principle: Within a horizontal flow of fluid, points of higher fluid speed will have
less pressure than points of slower fluid speed.
[Why does it have to be horizontal?]
So within a horizontal water pipe that changes diameter, regions where the water is moving fast
will be under less pressure than regions where the water is moving slow. This sounds
counterintuitive to many people since people associate high speeds with high pressures. But,
we\'ll show in the next section that this is really just another way of saying that water will speed
up if there\'s more pressure behind it than in front of it. In the section below we\'ll derive
Bernoulli\'s principle, show more precisely what it says, and hopefully make it seem a little less
mysterious.
How can you derive Bernoulli\'s principle?
Incompressible fluids have to speed up when they reach a narrow constricted section in order to
maintain a constant volume flow rate. This is why a narrow nozzle on a hose causes water to
speed up. But something might be bothering you about this phenomenon. If the water is speeding
up at a constriction, it\'s also gaining kinetic energy. Where is this extra kinetic energy coming
from? The nozzle? The pipe?
[The energy fairy?]
The only way to give something kinetic energy is to do work on it. This is expressed by the
work energy principle.
W_{external}=\\Delta K=\\dfrac{1}{2}mv_f^2-
\\dfrac{1}{2}mv_i^2Wexternal=K=21mvf221mvi2W, start subscript, e, x, t, e, r, n, a, l, end
subscript, equals, delta, K, equals, start fraction, 1, divided by, 2, end fraction, m, v, start
subscript, f, end subscript, start superscript, 2, end superscript, minus, start fraction, 1, divided
by, 2, end fraction, m, v, start subscript, i, end subscript, start superscript, 2, end superscript
So if a portion of fluid is speeding up, something external to that portion of fluid must be doing
work it. What force is causing work to be done on the fluid? Well, in most real world systems
there are lots of dissipative forces that could be doing negative work, but we\'re going to assume
for the sake of simplicity that these viscous forces are negligible and we have a nice continuous
and perfectly laminar (streamline) flow. Laminar (streamline) flow means that the fluid flows in
parallel layers without crossing paths. In laminar streamline flow there is no swirling or vortices
in the fluid.
[How realistic are these assumptions?]
^{[1]}start superscript, open bracket, 1, close bracket, end superscript
^{[1]}start superscript, open bracket, 1, close bracket, end superscript
OK, so we\'ll assume we have no loss in energy due to di.
FLUID FLOW
A fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases.
“Fluid flow may be defined as the flow of substances that do not permanently resist distortion”
The subject of fluid flow can be divided into-
fluid statics
fluid dynamics
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Bernoulli's Principle
1. By Woo Chang Chung Bernoulli’s Principle and Simple Fluid Dynamics
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6. Bernoulli’s Equation Where p is the pressure, ρ is the density, v is the velocity, h is elevation, and g is gravitational acceleration
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8. Derivation of Bernoulli’s Equation Consider the change in total energy of the fluid as it moves from the inlet to the outlet. Δ E total = W done on fluid - W done by fluid Δ E total = ( 1 / 2 mv 2 2 + mgh 1 ) – ( 1 / 2 mv 1 2 + mgh 2 ) W done on fluid - W done by fluid = ( 1 / 2 mv 2 2 + mgh 1 ) – ( 1 / 2 mv 1 2 + mgh 2 ) P 2 V 2 - P 1 V 1 = ( 1 / 2 mv 2 2 + mgh 1 ) – ( 1 / 2 mv 1 2 + mgh 2 ) P 2 – P 1 = ( 1 / 2 ρ v 1 2 + ρ gh 1 ) – ( 1 / 2 ρ v 1 2 + ρ gh 1 ) E total = 1 / 2 mv 2 + mgh W = F / A *A*d = PV P 2 + 1 / 2 ρ v 1 2 + ρ gh 1 = P 1 + 1 / 2 ρ v 1 2 + ρ gh 1 ∴
![Pressure ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)