Fun With Fluids.pptx

8/18/2019 Fun With Fluids.pptx

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FUN WITH FLU

opic: Application Of Bernoulli’s T In Bloo Flo!


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B":

#amsi $rishna %haitan"a BT&'%Sai -a.ha/a BT&'

Nitish 1N BT&


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Introuction:

• In fluid dynamics, Bernoulli's principle states that an

the speed of a fluid occurs simultaneously with a decrein pressure or a decrease in the fluid's potential energ

• It can be derived from the principle of conservation of

states that, in a steady flow, the sum of all forms of en

along a streamline is the same at all points on that

streamline. This requires that the sum of kinetic energy, potential

energy and internal

energy remains constant.


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Applications :

Bernoullis theorem is the reason behind the flight of the

The wings of the airplanes are shaped in

such a way so as to make the lift easier

The spin on the ball is also due to

Bernoullis theorem.

!urprising , Bernoullis Theorem is also

applicable in the flow of blood and also in heart attacks .


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B)-NOULLI’S TH)O-)( IN BLOOD FLOW

Bloo pla"s an important role in the transport onutrients in the 4o"1 With each heart4eat the 4

5o!s throu.h the arteries6 /eins an the lar.e nof capillaries !hich are a part of the circulator"s"stem1

Blood pressure is measured using a type of gauge" us

calibrated in mm #g.

Two values of blood pressure are measured$ the ma%im

pressure when the heart is pumping,

which is called systolic pressure; and the

pressure when the heart is in the resting

part of the cycle, which is called

diastolic pressure.


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Durin. a fe! cases6 the cholesterol carr"in.lipoproteins attach themsel/es to the !alls of th/eins6 cells an arteries an hence pla.ue forms

the 4loo /essels1 The smooth !alls of the 4loo/essels 4ecome rou.h an restricts the 4loo 5o The arter" is constricte as a result of anaccumulation of pla7ue on its inner !alls1

Bloo 5o! in a health" 4loo /essel is foun to 4e laminar as lon. as no

o4struction to the 5o! has occurre 1


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In case of a constricte arter" 6accorin. to the resease/ere narro!in. ma" occur an the arterial cross8s

4e reuce 4" 921

Therefore 6 from the continuit" e7uation : A& ; A0#0 an A0;


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point & 4e the open portionpoint 0 4e the constricte re.ion

o assume streamline 5o! of 4loo1

rnoulli’s )7uation can 4e appliepoints & an 01

C.h& C/& 0 ; 0 C.h0 C/0

0

onsier h&;h0


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l/in. for pressure iEerence 4et!een points & an 0 6

; 0 G & ; C /& 0 8 C/0

0

; C /& 0 8 /0

0

6 su4stitutin. e7uation @ 6 !e .et

; C /& 0

8


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mparin. this result !ith the a/era.e pressure 6 !e .et

= * ; = &219

; 8+ is + pressure rop 4et!een the tissue outsie the /esie the constriction can cause the 4loo /essel to colomentar" interruption in the 4loo 5o! 1this point the 4loo /elocit" 4ecomes ero 6

s pressure rises a.ain an /essel reopens1the 4loo rushes throu.h the constricteter" 6 the internal pressure rops an arter"oses 1is phenomenon is calle /ascular 5utter1


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The continue openin. an closin. of arter" can contr4ulence of 4loo an its eEects 1

Therefore the /ascular 5utter must 4e taKen seriousl" heart attacKs 1

The relation 4et!een tur4ulent 5o! occurrin. throu.h the arter" constriction an the 4uil up of pla.ue is th for atherosclerosis an heart attacKs1


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THAN$ MOU

Fun With Fluids.pptx

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