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Subject: Fluid Mechanics and Machinery (FMM)
FLUID, FLUID PROPERTIES AND TYPES OF FLUIDS
BY
Prof. Pranit Mehata
ST. JOHN POLYTECHNIC, PALGHAR
FLUID??????
 A fluid is a substance which is capable of flowing.
 A fluid is substance which deforms continuously when subjected
to external shearing force.
 A fluid has following characteristics:
1. It has no definite shape of its own but conforms to the shape of
the containing vessels.
2. Even a small amount of shear force exerted on fluid will cause it
to undergo deformation which continuous as long as the force
continues to applied.
 A fluid may be classified as: liquid, gas and vapor
FLUID MECHANICS???
 It is branch of engineering science which deals with the behavior of fluid under the
conditions of rest and motion.
 Three parts: Static, kinematics and dynamics
 Fluid static: study of fluid under static conditions or fluid at rest
 Fluid kinematics: study of fluids which are in motion, where pressure forces are nor
considered.
 Fluid dynamics: study of fluids which are in motion and pressure forces are
considered.
PROPERTIES OF FLUIDS
 Density or mass density
 Specific weight or weight density
 Specific gravity
 Specific volume
 Viscosity
 Surface tension
 Capillarity
 Adhesion
 Cohesion
 Compressibility
 Vapour pressure
DENSITY OR MASS DENSITY
 It is defined as the ratio of the mass of fluid to its volume.
 It is denoted by letter 𝜌 (rho)
 Mathematically it is given by ,𝝆 =
𝒎
𝑽
 The SI unit of density is 𝑘𝑔/𝑚3
 For water the density is 1000 𝑘𝑔/𝑚3
SPECIFIC WEIGHT OR WEIGHT DENSITY
 It is defined as the ratio of the weight of fluid to its volume.
 It is weight per unit volume at standard temperature and pressure.
 It is denoted by 𝑤.
 Mathematically,𝑤 = 𝜌𝑔
 The SI unit of specific weight is 𝑁/𝑚3
 The value for water is 9.81×1000 𝑁/𝑚3
SPECIFIC GRAVITY
 It is the ratio of the specific weight of
the liquid to the specific weight of a
standard fluid.
 It is also called as relative density
 It is dimensionless and has no units.
 It is represented by S.
 For liquid we take water as standard
fluid while for gases we take air.
SPECIFIC VOLUME
 It is defined as volume per unit mass of fluid.
 It is denoted by 𝑣𝑠
 Mathematically, 𝑣𝑠=
𝑉
𝑚
 The SI unit of specific volume is 𝑚3/𝑘𝑔
 𝑣𝑠=
𝑉
𝑚
=
1
𝑚
𝑉
=
1
𝜌
 Thus it is reciprocal of density.
 It is commonly applied to the gases.
VISCOSITY
 It is the property of fluid which offers resistance
to the movement of one layer over another
adjacent layer of the fluid.
 The two layers causes shear stress on each other.
 This shear stress is directly proportional to the
rate of change of velocity with respect to y.
 It is denoted by 𝜏 (called Tau).
 Mathematically, 𝜏 ∝
𝑑𝑢
𝑑𝑦
VISCOSITY
𝜏 ∝
𝑑𝑢
𝑑𝑦
𝜏 = 𝜇
𝑑𝑢
𝑑𝑦
 Where, 𝜇 is Constant of proportionality and is known as dynamic viscosity
𝝁 =
𝝉
𝒅𝒖
𝒅𝒚
 Thus viscosity may also be defined as the shear stress required to produce unit rate of shear strain.
 The SI unit of viscosity or dynamic viscosity is
𝑁.𝑠
𝑚2
 The CGS unit is Poise 1 Poise=
𝟏
𝟏𝟎
𝑵.𝒔
𝒎𝟐
KINEMATIC VISCOSITY
 It is defined as the ratio of the dynamic viscosity to the density of fluid.
 It is denoted by letter 𝜈 (Nu)
 Mathematically, 𝜈=
𝜇
𝜌
 The SI unit of kinematic viscosity is 𝑚2/𝑠
 The CGS unit is stokes (= 𝑐𝑚2/𝑠)
1 Stokes= 𝟏𝟎−𝟒𝒎𝟐/𝒔
NEWTON’S LAW OF VISCOSITY
 This law states that the shear stress (τ) on a fluid element layer is directly proportional to the
rate of shear strain.
Mathematically, 𝝉 = 𝝁
𝒅𝒖
𝒅𝒚
 The fluids which obeys this law are called as Newtonian Fluids
 The fluids which do not obey this law are called as Non-Newtonian fluids.
SURFACE TENSION
 It is defined as the tensile force acting on a surface
of liquid in a contact with gas or on the surface
between two immiscible liquids.
 It is due to cohesion between particles at the
surface.
 It is denoted by letter 𝜎 (Sigma)
 The SI unit of surface tension is N/m.
 The CGS unit is kgf/m.
SURFACE TENSION
 Rain drops (A falling rain drop becomes spherical due to cohesion and surface tension).
 Rise of sap in a tree.
 Bird can drink water from ponds.
 Capillary rise and capillary siphoning.
 Collection of dust particles on water surface.
 Break up of liquid jets.
For liquid droplet For soap bubble For liquid jet
𝒑=
𝟒𝝈
𝒅
𝒑=
𝟖𝝈
𝒅
𝒑=
𝟐𝝈
𝒅
CAPILLARITY
 It is a phenomenon by which a liquid (depending upon its specific gravity) rises into a thin
glass tube above or below its general level.
 This phenomenon is due to the combined effect of cohesion and adhesion of liquid particles.
 It is expressed in cm or mm of liquid
 Its value is depend upon the specific weight of liquid, diameter of the tube and surface
tension of fluid.
Capillary Action
Capillary Rise Capillary Fall
CAPILLARI RISE
 The rise of liquid surface is called as Capillary
rise.
 The rise of water is given by
𝒉 =
𝟒𝝈 × 𝒄𝒐𝒔𝜽
𝝆 × 𝒈 × 𝒅
 The value of 𝜃 for water is zero.
CAPILLARI FALL
 The fall of liquid surface is called as Capillary
rise.
 The fall of water is given by
𝒉 =
𝟒𝝈 × 𝒄𝒐𝒔𝜽
𝝆 × 𝒈 × 𝒅
 The value of 𝜃 for mercury is 128°.
COMPRESSIBILITY
 The property by virtue of which fluids undergo a change in volume under
the action of external pressure is called as compressibility.
 It decreases with increase in pressure.
 It is also defined as reciprocal of bulk modulus (K).
 Compressibility=
1
𝐾
TYPES OF FLUIDS
 Newtonian fluids. The fluid which obey Newtons law
is called Newtonian Fluids For such fluids μ does not
change with rate of deformation. Examples. Water,
kerosene, air etc.
 Non-Newtonian Fluids: The fluid which do not obey
Newton’s law is called Non-Newtonian Fluids. Examples:
blood, solutions, mud flows etc.
 Ideal Fluids: A fluid which is incompressible and having
no viscosity is called as ideal fluid.
 Real Fluid: A fluid possess viscosity is called as real
fluid.

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Properties of fluids

  • 1. Subject: Fluid Mechanics and Machinery (FMM) FLUID, FLUID PROPERTIES AND TYPES OF FLUIDS BY Prof. Pranit Mehata ST. JOHN POLYTECHNIC, PALGHAR
  • 2. FLUID??????  A fluid is a substance which is capable of flowing.  A fluid is substance which deforms continuously when subjected to external shearing force.  A fluid has following characteristics: 1. It has no definite shape of its own but conforms to the shape of the containing vessels. 2. Even a small amount of shear force exerted on fluid will cause it to undergo deformation which continuous as long as the force continues to applied.  A fluid may be classified as: liquid, gas and vapor
  • 3. FLUID MECHANICS???  It is branch of engineering science which deals with the behavior of fluid under the conditions of rest and motion.  Three parts: Static, kinematics and dynamics  Fluid static: study of fluid under static conditions or fluid at rest  Fluid kinematics: study of fluids which are in motion, where pressure forces are nor considered.  Fluid dynamics: study of fluids which are in motion and pressure forces are considered.
  • 4. PROPERTIES OF FLUIDS  Density or mass density  Specific weight or weight density  Specific gravity  Specific volume  Viscosity  Surface tension  Capillarity  Adhesion  Cohesion  Compressibility  Vapour pressure
  • 5. DENSITY OR MASS DENSITY  It is defined as the ratio of the mass of fluid to its volume.  It is denoted by letter 𝜌 (rho)  Mathematically it is given by ,𝝆 = 𝒎 𝑽  The SI unit of density is 𝑘𝑔/𝑚3  For water the density is 1000 𝑘𝑔/𝑚3
  • 6. SPECIFIC WEIGHT OR WEIGHT DENSITY  It is defined as the ratio of the weight of fluid to its volume.  It is weight per unit volume at standard temperature and pressure.  It is denoted by 𝑤.  Mathematically,𝑤 = 𝜌𝑔  The SI unit of specific weight is 𝑁/𝑚3  The value for water is 9.81×1000 𝑁/𝑚3
  • 7. SPECIFIC GRAVITY  It is the ratio of the specific weight of the liquid to the specific weight of a standard fluid.  It is also called as relative density  It is dimensionless and has no units.  It is represented by S.  For liquid we take water as standard fluid while for gases we take air.
  • 8. SPECIFIC VOLUME  It is defined as volume per unit mass of fluid.  It is denoted by 𝑣𝑠  Mathematically, 𝑣𝑠= 𝑉 𝑚  The SI unit of specific volume is 𝑚3/𝑘𝑔  𝑣𝑠= 𝑉 𝑚 = 1 𝑚 𝑉 = 1 𝜌  Thus it is reciprocal of density.  It is commonly applied to the gases.
  • 9. VISCOSITY  It is the property of fluid which offers resistance to the movement of one layer over another adjacent layer of the fluid.  The two layers causes shear stress on each other.  This shear stress is directly proportional to the rate of change of velocity with respect to y.  It is denoted by 𝜏 (called Tau).  Mathematically, 𝜏 ∝ 𝑑𝑢 𝑑𝑦
  • 10. VISCOSITY 𝜏 ∝ 𝑑𝑢 𝑑𝑦 𝜏 = 𝜇 𝑑𝑢 𝑑𝑦  Where, 𝜇 is Constant of proportionality and is known as dynamic viscosity 𝝁 = 𝝉 𝒅𝒖 𝒅𝒚  Thus viscosity may also be defined as the shear stress required to produce unit rate of shear strain.  The SI unit of viscosity or dynamic viscosity is 𝑁.𝑠 𝑚2  The CGS unit is Poise 1 Poise= 𝟏 𝟏𝟎 𝑵.𝒔 𝒎𝟐
  • 11. KINEMATIC VISCOSITY  It is defined as the ratio of the dynamic viscosity to the density of fluid.  It is denoted by letter 𝜈 (Nu)  Mathematically, 𝜈= 𝜇 𝜌  The SI unit of kinematic viscosity is 𝑚2/𝑠  The CGS unit is stokes (= 𝑐𝑚2/𝑠) 1 Stokes= 𝟏𝟎−𝟒𝒎𝟐/𝒔
  • 12. NEWTON’S LAW OF VISCOSITY  This law states that the shear stress (τ) on a fluid element layer is directly proportional to the rate of shear strain. Mathematically, 𝝉 = 𝝁 𝒅𝒖 𝒅𝒚  The fluids which obeys this law are called as Newtonian Fluids  The fluids which do not obey this law are called as Non-Newtonian fluids.
  • 13. SURFACE TENSION  It is defined as the tensile force acting on a surface of liquid in a contact with gas or on the surface between two immiscible liquids.  It is due to cohesion between particles at the surface.  It is denoted by letter 𝜎 (Sigma)  The SI unit of surface tension is N/m.  The CGS unit is kgf/m.
  • 14. SURFACE TENSION  Rain drops (A falling rain drop becomes spherical due to cohesion and surface tension).  Rise of sap in a tree.  Bird can drink water from ponds.  Capillary rise and capillary siphoning.  Collection of dust particles on water surface.  Break up of liquid jets. For liquid droplet For soap bubble For liquid jet 𝒑= 𝟒𝝈 𝒅 𝒑= 𝟖𝝈 𝒅 𝒑= 𝟐𝝈 𝒅
  • 15. CAPILLARITY  It is a phenomenon by which a liquid (depending upon its specific gravity) rises into a thin glass tube above or below its general level.  This phenomenon is due to the combined effect of cohesion and adhesion of liquid particles.  It is expressed in cm or mm of liquid  Its value is depend upon the specific weight of liquid, diameter of the tube and surface tension of fluid. Capillary Action Capillary Rise Capillary Fall
  • 16. CAPILLARI RISE  The rise of liquid surface is called as Capillary rise.  The rise of water is given by 𝒉 = 𝟒𝝈 × 𝒄𝒐𝒔𝜽 𝝆 × 𝒈 × 𝒅  The value of 𝜃 for water is zero.
  • 17. CAPILLARI FALL  The fall of liquid surface is called as Capillary rise.  The fall of water is given by 𝒉 = 𝟒𝝈 × 𝒄𝒐𝒔𝜽 𝝆 × 𝒈 × 𝒅  The value of 𝜃 for mercury is 128°.
  • 18. COMPRESSIBILITY  The property by virtue of which fluids undergo a change in volume under the action of external pressure is called as compressibility.  It decreases with increase in pressure.  It is also defined as reciprocal of bulk modulus (K).  Compressibility= 1 𝐾
  • 19. TYPES OF FLUIDS  Newtonian fluids. The fluid which obey Newtons law is called Newtonian Fluids For such fluids μ does not change with rate of deformation. Examples. Water, kerosene, air etc.  Non-Newtonian Fluids: The fluid which do not obey Newton’s law is called Non-Newtonian Fluids. Examples: blood, solutions, mud flows etc.  Ideal Fluids: A fluid which is incompressible and having no viscosity is called as ideal fluid.  Real Fluid: A fluid possess viscosity is called as real fluid.