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Course: Diploma
Subject: Applied Science Physics
Unit: II
Chapter: III
 The liquid like water, kerosene flow easily.
 But honey, castor oil can’t flow easily.
 For constant speed of flow we have to apply pressure
difference.
 So, we note that is some force opposing speed of
flow.
 It is due to viscosity. moving plate
fluid
velocity
gradient
static plate
v
F
l
x
 In flow any two consecutive layers of fluid have
relative velocities.
 The fraction force between two layers.
 Velocity gradient is velocity difference of two layers
per unit distance between two layers.
 SI unit S-1
 This law is for streamline flow of fluid.
2 1V V
d

 According to Newton’s experiment,
F α A &
F α
 Where η = coefficient of viscosity depends on type of liquid
&temperature.
 If η is more F is more, η decreases with increasing
temperature.
 In gas it increases with increasing temperature.
 If A=1,&
 Then η=F
2 1V V
d

2 1V V
F A
d



2 1
1
V V
d


 coefficient of viscosity: In case of
steady flow if there is unit velocity gradient
between two consecutive layers of unit surface
area the viscous force is called coefficient of
viscosity.
 Unit is Nsm-2
1
2
 Consider a liquid passing through a glass
tube.
 If all particles have same motion at particular point all
time the flow is…………
 Path of the particles at a point is same.
 If the liquid is pushed in the tube at a rapid rate, flow
is……….
 The velocity of different particles passing through same
may be different & change with time. e.g. motion of
water in river
 At low velocity fluid flows in steady.
 Velocity Increases at certain limit it converts as
turbulent flow.
 The velocity below which flow will be stream line &
Above which flow will be turbulent.
 Liquid passing through a glass tube
 Flow will be any of both
 For determination of coefficient of velocity it should be
streamline flow
 The factors on which modes of flow depends.
1. η
2. ρ
3. ν
4. D
 So, Reynolds’s number is:
 Mode of flow depends on NR
1. If NR<2000,streamline
2. IF NR>3000,turbulent
3. If 2000<NR<3000,flow will changes in both.
 NR at critical velocity is critical Reynolds’s number.
R
D
N



 Spherical body ρ & Viscosity of liquid ρ0, ρ> ρ0
 Stream line force & flow
 Up thrust force: The force opposes motion of
spherical body is……..
 Terminal velocity:
 When body starts motion with const. velocity the
velocity is called…….
2
0
2
( )
9
t
r g
V  

 
 STOKE’S LAW:
 When a spherical object, moves through a viscous
liquid there is a viscous drag force upon it:
 Fv = 6r
 where r = radius of sphere,  = viscosity and  =
velocity of sphere.
Absolute (or Dynamic) Viscosity, 
Units:
1 Poise = 1 g/(cm sec)
1 Pa sec = 1 kg/(m sec) = 1 N sec/m2
1 Poise = 100 cP = 0.1 Pa sec
Kinematic Viscosity:  = /ρ
Units:
1 stoke = 1 cm2/sec = 0.0001 m2/sec
 Capillary Viscometers
 Rotary Viscometers
 Falling “Object” Viscometers
 And many others….
Temperature:
 LIQUIDS AND GASES REACT OPPOSITELY TO
CHANGES IN TEMPERATURE.
 In liquids, when the temperature increases the particles
move faster and begin to move away from each other.
Because the particles are moving around more they can
flow more; their viscosity is lower.
 In gases, the particles are far apart so when energy is
added the particles move faster and collide with each
other more often causing an increase in viscosity.
 Concentration:
 Concentration is the amount of substance that is
dissolved in a specific volume.
 An increase in concentration will usually result in an
increase in viscosity.
 Attractive Force:
 Particles of the same substance have an attractive force
on one another.
 Some substances have a strong attraction while some
substances have a weaker attraction.
 The stronger the attraction of particles, the
 higher the viscosity.
 Particle Size:
 The size of the particles of a substance will greatly
affect its viscosity.
 Small particles can move more easily past each other
and can therefore flow faster, meaning they have a
lower viscosity.
 Large particles would mean a higher viscosity.
Diploma sem 2 applied science physics-unit 2-chap-3 viscosity
2
0
2 g
( )
9 t
r
V
   
REFERENCE BOOKS AUTHOR/PUBLICATION
ENGINEERING PHYSICS S S PATEL (ATUL PRAKASHAN)
MODERN ENGINEERING
PHYSICS
A S VASUDEVA
ENGINEERING PHYSICS K. RAJGOPALAN
1. http://theboard.byu.edu/media/attached_files/r_97030
/cylindricalpipeflow.gif
2. http://www.cora.nwra.com/~werne/eos/images/turbul
ent.jpg

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Diploma sem 2 applied science physics-unit 2-chap-3 viscosity

  • 1. Course: Diploma Subject: Applied Science Physics Unit: II Chapter: III
  • 2.  The liquid like water, kerosene flow easily.  But honey, castor oil can’t flow easily.  For constant speed of flow we have to apply pressure difference.  So, we note that is some force opposing speed of flow.  It is due to viscosity. moving plate fluid velocity gradient static plate v F l x
  • 3.  In flow any two consecutive layers of fluid have relative velocities.  The fraction force between two layers.  Velocity gradient is velocity difference of two layers per unit distance between two layers.  SI unit S-1  This law is for streamline flow of fluid. 2 1V V d 
  • 4.  According to Newton’s experiment, F α A & F α  Where η = coefficient of viscosity depends on type of liquid &temperature.  If η is more F is more, η decreases with increasing temperature.  In gas it increases with increasing temperature.  If A=1,&  Then η=F 2 1V V d  2 1V V F A d    2 1 1 V V d  
  • 5.  coefficient of viscosity: In case of steady flow if there is unit velocity gradient between two consecutive layers of unit surface area the viscous force is called coefficient of viscosity.  Unit is Nsm-2
  • 6. 1 2
  • 7.  Consider a liquid passing through a glass tube.  If all particles have same motion at particular point all time the flow is…………  Path of the particles at a point is same.
  • 8.  If the liquid is pushed in the tube at a rapid rate, flow is……….  The velocity of different particles passing through same may be different & change with time. e.g. motion of water in river
  • 9.  At low velocity fluid flows in steady.  Velocity Increases at certain limit it converts as turbulent flow.  The velocity below which flow will be stream line & Above which flow will be turbulent.
  • 10.  Liquid passing through a glass tube  Flow will be any of both  For determination of coefficient of velocity it should be streamline flow  The factors on which modes of flow depends. 1. η 2. ρ 3. ν 4. D
  • 11.  So, Reynolds’s number is:  Mode of flow depends on NR 1. If NR<2000,streamline 2. IF NR>3000,turbulent 3. If 2000<NR<3000,flow will changes in both.  NR at critical velocity is critical Reynolds’s number. R D N   
  • 12.  Spherical body ρ & Viscosity of liquid ρ0, ρ> ρ0  Stream line force & flow  Up thrust force: The force opposes motion of spherical body is……..  Terminal velocity:  When body starts motion with const. velocity the velocity is called……. 2 0 2 ( ) 9 t r g V     
  • 13.  STOKE’S LAW:  When a spherical object, moves through a viscous liquid there is a viscous drag force upon it:  Fv = 6r  where r = radius of sphere,  = viscosity and  = velocity of sphere.
  • 14. Absolute (or Dynamic) Viscosity,  Units: 1 Poise = 1 g/(cm sec) 1 Pa sec = 1 kg/(m sec) = 1 N sec/m2 1 Poise = 100 cP = 0.1 Pa sec Kinematic Viscosity:  = /ρ Units: 1 stoke = 1 cm2/sec = 0.0001 m2/sec
  • 15.  Capillary Viscometers  Rotary Viscometers  Falling “Object” Viscometers  And many others….
  • 16. Temperature:  LIQUIDS AND GASES REACT OPPOSITELY TO CHANGES IN TEMPERATURE.  In liquids, when the temperature increases the particles move faster and begin to move away from each other. Because the particles are moving around more they can flow more; their viscosity is lower.  In gases, the particles are far apart so when energy is added the particles move faster and collide with each other more often causing an increase in viscosity.
  • 17.  Concentration:  Concentration is the amount of substance that is dissolved in a specific volume.  An increase in concentration will usually result in an increase in viscosity.  Attractive Force:  Particles of the same substance have an attractive force on one another.  Some substances have a strong attraction while some substances have a weaker attraction.  The stronger the attraction of particles, the  higher the viscosity.
  • 18.  Particle Size:  The size of the particles of a substance will greatly affect its viscosity.  Small particles can move more easily past each other and can therefore flow faster, meaning they have a lower viscosity.  Large particles would mean a higher viscosity.
  • 20. 2 0 2 g ( ) 9 t r V    
  • 21. REFERENCE BOOKS AUTHOR/PUBLICATION ENGINEERING PHYSICS S S PATEL (ATUL PRAKASHAN) MODERN ENGINEERING PHYSICS A S VASUDEVA ENGINEERING PHYSICS K. RAJGOPALAN

Editor's Notes