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    Transport Phenomenon

    Project Review

    Dr. PK Banerjee

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    Role of a Process Engineer

    Develop

    Design

    Engineer equipment & Process

    Choose right raw materials

    Operate- Efficiently- Safely

    - Economically

    Delight customer

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    What is a Process?

    A process is a set of many steps or unit operations

    An unit operation is based on a common scientific principle andcould be utilised in varied applications.

    examples : size reduction, screening, gravity separation,

    transportation, Distillation, leaching, distillation, evaporation,

    drying etc.

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    Dimensions and Units

    Review

    Dimension: Measure of a physical quantity, e.g., length,time, mass

    Units: Assignment of a number to a dimension, e.g., (m),(sec), (kg)

    7 Primary Dimensions:

    1. Mass m (kg)2. Length L (m)

    3. Time t (sec)

    4. Temperature T (K)5. Current I (A)

    6. Amount of Light C (cd)

    7. Amount of matter N (mol)

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    Dimensions and Units

    Review, continued

    All non-primary dimensions can be formed by acombination of the 7 primary dimensions

    Examples

    {Velocity} = {Length/Time} = {L/t} {Force} = {Mass Length/Time2} = {mL/t2}

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    Dimensional Homogeneity

    Law of dimensional homogeneity (DH): every additive termin an equation must have the same dimensions

    Example: Bernoulli equation

    {p} = {force/area}={mass x length/time2 x 1/length2} = {m/(t2L)}

    {1/2V2} = {mass/length3 x (length/time)2} = {m/(t2L)}

    {gz} = {mass/length3 x length/time2 x length} ={m/(t2L)}

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    Non dimensionalization of Equations

    Given the law of DH, if we divide each term in

    the equation by a collection of variables andconstants that have the same dimensions, the

    equation is rendered nondimensional

    In the process of nondimensionalizing an

    equation, nondimensional parameters oftenappear, e.g., Reynolds number and Froude

    number etc.

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    Nondimensionalization of Equations

    To nondimensionalize, for example, the Bernoulliequation, the first step is to list primary dimensionsof all dimensional variables and constants

    {p} = {m/(t2L)} {} = {m/L3} {V}= {L/t}

    {g} = {L/t2

    } {z} = {L}

    Next, we need to select Scaling Parameters. For thisexample, selectL, U

    0,

    0

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    Nondimensionalization of Equations

    By inspection, nondimensionalize all variables withscaling parameters

    Back-substitutep, , V, g, z into dimensionalequation

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    Nondimensionalization of Equations

    Divide by 0U02

    and set * = 1 (incompressibleflow)

    Since g* = 1/Fr2, where

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    Nondimensionalization of Equations

    Note that convention often dictates many of the

    nondimensional parameters, e.g., 1/20U02 is typically used to

    nondimensionalize pressure.

    This results in a slightly different form of the nondimensionalequation

    BE CAREFUL! Always double check definitions.

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    Nondimensionalization of Equations

    Advantages of nondimensionalization

    Increases insight about key parameters Decreases number of parameters in the problem

    Easier communication

    Fewer experiments

    Fewer simulations

    Extrapolation of results to untested conditions

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    Dimensional Analysis and Similarity

    Nondimensionalization of an equation is useful onlywhen the equation is known!

    In many real-world flows, the equations are eitherunknown or too difficult to solve.

    Experimentation is the only method of obtaining reliableinformation

    In most experiments, geometrically-scaled models areused (time and money).

    Experimental conditions and results must be properlyscaled so that results are meaningful for the full-scaleprototype.

    Dimensional Analysis

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    Dimensional Analysis and Similarity

    Primary purposes of dimensional analysis

    To generate nondimensional parameters that helpin the design of experiments (physical and/or

    numerical) and in reporting of results

    To obtain scaling laws so that prototype

    performance can be predicted from model

    performance. To predict trends in the relationship between

    parameters.

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    Example

    A steady stream of liquid in turbulent flow is heated by passing it through a long, straight heated pipe. The

    temperature is assumed to be greater by a constant amount

    than the average temperature of the fluid. It is desired to finda relationship that can be used to predict the rate of heat

    transfer from the wall of the liquid.

    ( , , , , , , )Pq D V c k T A

    = 2 1

    1

    3

    1 1

    1 1

    1 1 1

    cos

    cosp

    q heat flow per unit are HL t A

    D Pipeinside diam L

    V Average Velocity Lt

    Liquid density ML

    Liquid Vis ity ML t

    c Liquid Vis ity HM t

    k liquid thermal conductivity HL t T

    T temperature differen

    = =

    = =

    = =

    = =

    = =

    = =

    = = = ce

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    Example contd.

    ( ) ( ) ( ) ( ) ( ) ( ) ( )a b c d e f g

    Pq D V c k T A

    =

    2 1 3a b b c c d d e e e f f f f gHL t L L t M L M L H M T H L t T T =

    exp : 1

    exp : 2 3

    exp : 1

    exp : 0

    exp : 0

    onents of H e f

    onents of L a b c d f

    onents of t b d f

    onents of M c d e

    onents of T e f g

    = +

    = +

    =

    = + = +

    7 variables & 5 Unknowns so two variables must be retained, here b &

    e are retained

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    Example contd.

    So rearranging in terms of b & e

    1 , 1, , , 1f e g d e b c b a b= = = = =

    Substituting above values it becomes

    ( ) ( ) ( ) ( ) ( ) ( ) ( )1 1

    ,

    ,

    b b b e b e e

    P

    b e

    P P

    P

    qD V c k T

    A

    c cqD DV qD DV

    Ak T k Ak T k

    cq k T DV

    A D k

    =

    => = => =

    => =

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    Fluids (liquids and gases) are a form of matter thatcannot achieve equilibrium under an applied shearstress but deform continuously, or flow, as long asshear stress is applied.

    The fluid flow means the movement of materialsthrough certain bounded regions (pipe).

    The study of fluid flow can be divided in to :1) Fluid Static : it deals with fluid at rest in equilibrium.

    2) Fluid dynamic : it deals with fluid in motion.

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    PROPERTIES OF FLUIDS

    1.Viscosity. Viscosity is a property thatcharacterizes the flow behavior of a fluid,reflecting the resistance to the development ofvelocity gradients within the fluid. A fluid is

    contained between two parallel planes each ofarea A m2 and distance h m apart. The upper

    plane is subjected to a shear force ofFN andacquires a velocity of u m/sec relative to thelower plane. The shear stress, t, is F/A,N /m2.The velocity gradient or rate of shear is given

    by u/h or, more generally, by the differentialcoefficient du/dy, where y is a distancemeasured in a direction perpendicular to the

    direction of shear.. For gases, simple liquids,true solutions, and dilute disperse systems, therate of shear is proportional to the shear stress.

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    2.Compressibility.

    Compressibility is the measure of the change in volume a

    substance undergoes when a pressure is exerted on the

    substance.

    Liquids are generally considered to be incompressible. Forinstance, a pressure of 16,400 psi will cause a given

    volume of water to decrease by only 5% from its volume at

    atmospheric pressure. Gases on the other hand, are very compressible. The

    volume of a gas can be readily changed by exerting an

    external pressure on the gas

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    3.Surface Tension. Surface tension, a property confined to a free surface and,

    therefore, not applicable to gases, is derived from

    unbalanced intermolecular forces near the surface of aliquid.

    This may be expressed as the work necessary to increase

    the surface by unit area. Although not normally important,it can become so if the free surface is present in a passageof small diameter orifice of tube.

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    Fluid static's deals with the fluids at rest in equilibrium

    Behavior of liquid at rest

    Nature of pressure it exerts and the variation of pressure at different

    layers

    Pressure differences between layers of liquids

    h1

    h2

    Point 1

    Point 2

    FLUID STATICS

    STATICS CONTD

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    Consider a column of liquid with two openings Which are provided at the

    wall of the vessel at different height

    The rate of flow through these opening s are different due to the

    pressure exerted at the different height

    Consider a stationary column the pressureps is acting on the surface of

    the fluid, column is maintained at constant pressure by applying pressure

    The force acting below and above the point 1 are evaluated

    Substituting the force with pressure x area of cross section in the aboveequation

    Force acting on the liquidAt point 1 = Force on the surface

    + Force excreted by the liquidAbove point 1

    Pressure at point 1 x Area =

    Pressure on the surface x area

    + mass x acceleration

    STATICS CONTD.

    STATICS CONTD

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    P1s = P2s + volume x density x acceleration

    = P2s + height x area x density x acceleration

    P1s = P2s + h1 S g

    Since surface area is same

    P1 = Ps + h1 g

    Pressure acting on point 2 may be written as

    P2 = Ps + h1 g

    Difference in the pressure is obtained by

    P2 - P1 = g (Ps + h2 )( Ps + h1 ) g

    P = (Ps + h2 Ps - h1 ) g= h g

    STATICS CONTD.

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    Fluid is in Motion

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    FLUID DYNAMICS

    Fluid dynamics deals with the study of fluids in motion

    This knowledge is important for liquids, gels, ointments

    which will change their flow behavior when exposed to

    different stress conditions

    MIXING

    FLOW THROUGH PIPES

    FILLED IN CONTAINER

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    Identification of type of flow is important in

    Manufacture of dosage forms

    Handling of drugs for administration

    The flow of fluid through a closed channel can be

    viscous orturbulentand it can be observed by Reynolds experiment

    Glass tube is connected to reservoir of water, rate of flow of water is

    adjusted by a valve, a reservoir of colored solution is connected to one

    end of the glass tube with help of nozzle. colored solution is introducedinto the nozzle as fine stream

    TYPES OF FLOW

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    water

    valve

    Colored liquidLAMINAR OR VISCOUS FLOW

    TYPES OF FLOW

    TURBULENT FLOW

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    TYPES OF FLOW

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    TYPES OF FLOW

    TYPES OF FLOW

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    Lam inar f low is one in which the fluid particles move in layers or

    laminar with one layer sliding with other

    There is no exchange of fluidparticles from one layer to other

    When velocity of the water is increased the thread of the colored water

    disappears and mass of the water gets uniformly colored, indicates completemixing of the solution and the flow of the fluid is called as tu rbu lent

    f low

    The velocity at which the fluid changes from laminar flow to turbulent flow

    that velocity is called as c r it i c a l veloc i t y

    TYPES OF FLOW

    REYNOLDS NUMBER

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    In Reynolds experiment the flow conditions are affected by

    Diameter of pipe

    Average velocity

    Density of liquid

    Viscosity of the fluid

    This four factors are combined in one way as Reynolds number

    Reynolds number is obtained by the following equation

    Inertial forces are due to mass and the velocity of the fluid particles trying todiffuse the fluid particles

    viscous force if the frictional force due to the viscosity of the fluid which

    make the motion of the fluid in parallel.

    INERTIAL FORCES= ------------------------------ =

    VISCOUS FORCESMASS X ACCELERATION OF LIQUID FLOWING

    ----------------------------------------------------------SHEAR STRESS X AREA

    REYNOLDS NUMBER

    Du

    TYPES OF FLOW

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    At low velocities the inertial forces are less when compared to the frictional

    forces

    Resulting flow will be viscous in nature Other hand when inertial forces are predominant the fluid layers break up due to

    the increase in velocity hence turbulent flow takesplace.

    If Re < 2000 the flow I said to be laminar If Re > 4000 the flow is said to be turbulent

    If Re lies between 2000 to 4000 the flow changebetween laminar to turbulent

    TYPES OF FLOW

    Laminar Flow:

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    REYNOLDS NUMBER - < 2100

    Laminar Flow:

    1) layers of water flowing over one another at different speed with virtually no mixing between layers.

    2) Fluid particles move in definite and observable paths or streamlines,3) The center layer moves faster and the layer near the walls moves slower.

    Transition Flow:

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    REYNOLDS NUMBER

    Between 2100 and 4000

    Turbulent Flow:

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    1) layers of water mixes each other

    . 2) Fluid particles move in different direction or not-streamlines,

    REYNOLDS NUMBER - > 4000

    APPLICATIONS

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    Reynolds number is used to predict the nature of the flow Stocks law equation is modified to include Reynolds number to study the

    rate of sedimentation in suspension

    Variations in the velocity of flow across the cross section

    When velocity is plotted against the distance from the wall following

    conclusions can be drawn

    The flow of fluid in the middle of the pipe is faster then the fluid near to

    the wall

    The velocity of fluid approaches zero as the pipe wall is approached

    At the actual surface of the pipe wall the velocity of the fluid is zero

    APPLICATIONS

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    Pipe wall

    Relativedistancefrom

    thecenter

    ofthepipe

    U / U max

    Viscous flow

    Turbulent flow

    The velocity of the fluid is zero at the wall surface there should be somelayer in viscous flow near the pipe wall which acts as stagnant layer

    if the flow is turbulent at the center and viscous at the surface a buffer

    layer exist, this buffer layer changes between the viscous to turbulent flow

    Measurement of pressure

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    Measurement of pressure

    Manometer is devices to measure differential pressureP.

    3 type of manometers

    Simple

    Differential

    Inclined

    MANOMETERS

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    Manometers are the devices used for measuring the pressure difference

    Different type of manometers are there they are

    1) Simple manometer2) Differential manometer

    3) Inclined manometer

    SIMPLE MANOMETER

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    This manometer is the most commonly used one It consists of a glass U shaped tube filled with a liquid A- of density A kg

    /meter cube and above A the arms are filled with liquid B of densityB

    The liquid A and B are immiscible and the interference can be seen clearly If two different pressures are applied on the two arms the meniscus of the

    one liquid will be higher than the other

    Let pressure at point 1 will be P1 Pascal's and point 5 will be P2 Pascal's The pressure at point 2 can be written as

    = P1+ (m + R ) B g(m + R ) = distance from 3 to 5

    SIMPLE MANOMETER

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    P1 P2

    m

    R

    1

    23

    4

    5

    Liquid A

    L

    IQUID

    B

    SIMPLE MANOMETER

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    Since the points 2 and 3 are at same height the pressureat 3 can be written as

    Pressure at 3 =P1+ (m + R ) B g

    Pressure at 4 can be written as

    = P2 + gm B

    or

    = P1+ B ( m + R ) g- a R g

    Both the equations should be equal

    P2 + gm B = P1+ B ( m + R ) g- a R g

    P1 P2 = gm B - B ( m + R) g + A R g

    P = gm B - gm B - R B g + R A=R ( A- B )g

    DIFFERENTIAL MANOMETERS

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    These manometers are suitable for measurement of small pressure differences

    It is also known as two FluidU- tube manometer

    It contains two immiscible liquids A and B having nearly same densities

    The U tube contains of enlarged chambers on both limbs,

    Using the principle of simple manometer the pressure differences can be

    written as

    P =P1P2 =R (cA) g

    DIFFERENTIAL MANOMETERS

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    P1 P2

    Liquid A

    Liquid B

    Liquid C1

    2

    3 4

    5

    6

    7

    a

    b

    R

    INCLINED TUBE MANOMETERS

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    Many applications require accurate measurement of low pressure such as

    drafts and very low differentials, primarily in air and gas installations.

    In these applications the manometer is arranged with the indicating tube

    inclined, as in Figure, therefore providing an expanded scale.

    This enables the measurement of small pressure changes with increasedaccuracy.

    P1P2 = g R ( A - B) sin

    INCLINED TUBE MANOMETERS

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    BERNOULLI'S THEOREM

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    When the principals of the law of energy is applied to the flow of

    the fluids the resulting equation is called Bernoulli's theorem

    Consider a pump working under isothermal conditions between points A and

    B

    Bernoulli's theorem states that in a steady state the total energy per unit massconsists of pressure, kinetic and potential energies are constant

    Pump

    Friction energy = F

    Kinetic energy = u2 / 2g

    Pressure energy = Pa / Ag

    BERNOULLI'S THEOREM

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    At point a one kilogram of liquid is assumed to be entering at this point,

    pressure energy at joule can be written as

    Pressure energy = Pa /g A

    Where Pa = Pressure at point ag = Acceleration due to gravity

    A = Density of the liquid

    Potential energy of a body is defined as the energy possessed by

    the body by the virtue of its position

    Potential energy = XA

    Kinetic energy of a body is defined as the energy possessed by the

    body by virtue of its motion,

    kinetic energy = UA2 / 2g

    Total energy at point A = Pressure energy + Potential energy+ Kinetic

    energy

    BERNOULLI'S THEOREM

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    Total energy at point A = Pa /g A +XA + UA2 / 2g

    According to the Bernoulli's theorem the total energy at point

    A is constant

    Total energy at point A = Pa /g A +XA + UA2

    / 2g = ConstantAfter the system reaches the steady state, whenever one kilogram of

    liquid enters at point A, another one kilogram of liquid leaves at point B

    Total energy at point B = PB /g B +XB + UB2 / 2g

    INPOUT = OUT PUT

    Pa /g A +XA + UA2 / 2g =PB /g B +XB + UB

    2 / 2g

    Theoretically all kids of the energies involved in fluid flow should be

    accounted, pump has added certain amount of energy

    Energy added by the pump = + wJ

    BERNOULLI'S THEOREM

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    During the transport some energy is converted to heat due to frictional

    Forces

    Loss of energy due to friction in the line = FJ

    Pa /g A +XA + UA2

    / 2g F + W = PB /g B +XB + UB2

    / 2gThis equation is called as Bernoulli's equation

    Application

    Used in the measurement of rate of fluid flow It applied in the working of the centrifugal pump, in this kinetic energy is

    converted in to pressure.

    ENERGY LOSS

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    According to the law of conversation of energy, energy

    balance have to be properly calculated

    fluids experiences energy losses in several ways while flowing through pipes, they are

    Frictional losses

    Losses in the fitting

    Enlargement losses

    Contraction losses

    FRICTIONAL LOSSES

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    During flow of fluids frictional forces causes a loss in pressure. Type of

    fluid flow also influences the losses.

    In general pressure drop will be

    PRESSURE DROP VELOCITY (u)

    Density of fluid()

    Length of the pipe (L)

    1 / diameter of the pipe (D)

    These relationships are proposed in Fanning equation for calculating

    friction losses

    Fanning equation p = 2fu2L / D

    F = frictional factor

    For viscous flow pressure drop Hagen Poiseullie equation

    = 32 Lu/ D2

    LOSSES IN FITTING

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    Fanning equation is applicable for the losses in straight pipe. When

    fitting are introduced into a straight pipe, They cause disturbance in the

    flow, Which result in the additional loss of energy

    losses in fitting may be due to

    Change in direction Change in the type of fittings

    Equivalent fitting = Equivalent fitting x internal diameterFor globe valve = 300 x 50

    = 15 meter

    That means globe valve is equal to 15 meters straight line, so thislength is substituted in fanning equation

    Tee fitting

    Equivalent length = 90Globe valve equivalent length = 300

    ENLARGEMENT LOSS

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    If the cross section of the pipe enlarges gradually, the fluid adapts itself

    to the changed section with out any disturbance. So no loss of energy

    If the cross section of the pipe changes suddenly then loss in energy is

    observed due to eddies. These are greater at this point than straight line

    pipe

    Than u2< u1

    For sudden enlargement = H = u1 u2 / 2g

    H = loss of head due to sudden enlargement

    CONTRACTION LOSSES

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    If the cross section of the pipe is reduced suddenly the fluid floe is

    disturbed, the diameter of the fluid stream is less than the initial colume this

    point is known as vena contracta

    Viscosity

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    Viscosity is force required to cause two parallel liquidplanes in the fluid, one cm. apart and having unit area

    to slide past one another with a relative viscosity

    1cm/sec. Ab. Viscosity is difficult to measure, hence

    relative viscosity is measured with reference to water.

    Kinematic Viscosity = Absolute viscosity of fluid/Kinematic Viscosity = Absolute viscosity of fluid/

    density of waterdensity of water

    Type of Fluids as per Viscosity behavior

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    Two type 1. Newtonian Flow

    2. Non-Newtonian Flow A) Plastic Flow

    B) Pseudo Plastic C) Dilatant

    D) Thixotropic flow

    Type of Fluids as per Viscosity behavior

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    1. Newtonian Flow :

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    When the shear stress is

    proportional to the rate of

    shear and if we plot shearstress vs. rate of shear, a

    straight line passing

    through origin will beobtained for a Newtonian

    liq. And tan gives the

    viscosity of the liq. E.g.Water, Benzene, Alcohol,

    Glycerin, Chloroform.

    = tan

    Shear stress, T

    RateofShearv

    2. Non-Newtonian Flow

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    Rheology properties of heterogeneous

    dispersion such as emulsion, suspension and

    semisolid are more complex and do not obeyNewtons equation of flow

    (=F/A / dv/dx ) and fail to show theproportionality.

    A) Plastic Flow

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    The curve does not pass through theorigin.

    The substance fails to flow when lessamt of stress is applied further increase

    in stress lead to non-linear increase inshear rates which later get linearised.

    The linear portion when extrapolated theintercepts the x-axis at a point calledyield value. This plastic flow behavelike a Newtonian flow above the yieldvalue.

    E.g. concentrated flocculatedsuspension, Butter, Ointment.

    Material that show plastic flow arecalled as a Bingham. Shear stress, T

    RateofShearv

    B) Pseudo plastic Flow

    Th b i t th i i

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    The curve begins at the origin.

    As the shear stress increases, theshear rate also increases but non-linearly.

    E.g. Polymer

    Tragacanth, M.C, Na. CMC, Na.

    Alginate, Rubber Up on withdrawal of shear stress,

    System revert to its original state

    and hence viscosity increases. It iscalled as sol gel sol

    phenomenon.

    RateofShearv

    Shear stress, T

    Shear stress, T

    Shear ratethinning

    C)DilatantTh h hibiti dil t t fl i

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    The rheogram exhibiting dilatant flow isshown in figure. It exhibit shearthickening.

    The system gets thickened uponincreasing rate of shearing.

    Up on shearing volume expanded so

    called dilatant. When the stress is removed, the system

    returns to its initial state of fluidity.

    E.g. suspension of starch in water,Kaolin (12%) in water, ZnO (30%) inwater.

    RateofS

    hearv

    Shear stress, T

    D) Thixotropic flow

    N t iN t i N t i

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    NewtonianNewtonian

    When rate of shear is reduced, the downcurve is identical and super imposable onthe up curve.

    Non Newtonian ( Shear Thinning)Non Newtonian ( Shear Thinning)

    When agitated and kept aside, it returns

    to its original fluidity, but it takes longertime to recover. This behavior is knownas Thixotropic.

    Gel to Sol to Gel E.g. gels of Aluminum Hydroxide

    gels of Magnesium Hydroxide

    Bentonite Suspension

    RateofShearv

    RateofShe

    arv

    Shear stress, T

    Shear stress, T

    Newtonian

    Pseudo

    plastic

    plastic

    Non Newtonian

    MEASUREMENT OF RATE OF FLOW OF FLUIDS

    When ever fluid are used in a process it is necessary to measure the

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    When ever fluid are used in a process it is necessary to measure the

    rate at which the fluid is flowing through the pipe,

    Methods of measurement are

    Direct weighing or measuring

    Hydrodynamic methods

    Orifice meter

    Venturi meter

    Pitot meter

    Rotameter

    Direct displacement meter

    The liquid flowing through a pipe is collected for specific

    DIRECT WEIGHING OR MEASURING

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    The liquid flowing through a pipe is collected for specific

    period at any point and weighed or measured, and the rate of flow can be

    determined.

    Gases can not be determined by this method

    ORIFICE METER

    Principle:

    Orifice meter is a thin plate containing a narrow and sharp aperture.When a fluid stream is allowed to pass through a narrow constriction the

    velocity of the fluid increase compared to up stream

    This results in decrease in pressure drop and the difference in the

    pressure may be read from a manometer

    The velocity of the fluid at thin constriction may be written as

    U0 =C 0 2g H

    H = can be measured by manometer

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    H can be measured by manometer

    C0 = constant

    U0 = velocity of fluid at the point of orifice meter

    CONSTRUCTION

    It is consider to be a thin plate containing a sharp aperture through which

    fluid flows

    Normally it is placed between long straight pipes

    For present discussion plate is introduced into pipe and manometer is

    connected at points A and B

    WORKING

    Orifice meter is referred as the variable head meter, i.e it measure the

    variation in the pressure across a fixed construction placed in the path of flow

    ORIFICE METER

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    When fluid is allowed to pass through the orifice the velocity of the fluid at

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    point B increase, as a result at point A pressure will be increased.

    Difference in the pressure is measured by manometer

    Bernoulli's equation is applied to point A and point B for experimental

    conditions

    U02 UA2 =C02g. H

    U0 = velocity of fluid at orifice

    UA = velocity of fluid at point A

    C0 = constant

    If the diameter of the orifice is 1/5 or less of the pipe diameter then UA is

    neglected

    Applications

    Velocity at either of the point A and B can be measured

    Volume of li uid flowin er hour can be determined

    VENTURI METER

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    Inlet

    section

    Throat ofVenturi

    manometer

    VENTURI METER

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    U v = C v 2g . H

    DISADVANTAGES

    Expensive

    Need technical export

    Not flexible it is permanentAdvantages

    Power loss is less

    Head loss is negligible

    PITOT TUBE

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    Construction

    PITOT TUBE

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    It is also known as insertion tube

    The size of the sensing element is small compared to the flow channel

    One tube is perpendicular to the flow direction and the other is parallel to

    the flow Two tubes are connected to the manometer

    Hp = u2 /2g

    Working

    Tube are inserted in the flow shown is the figure

    U2 = Cv 2g. H

    coefficient of Pitot tube

    PITOT TUBE

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    ROTAMETER

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    ROTAMETER

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    Construction

    ROTAMETER

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    It consists of vertically tampered and transparent tube in which a plummet isplaced

    During the flow the plummet rise due to variation in flow

    The upper edge of the plummet is used as an index to note the reading

    Working

    As the flow is upward through the tapered tube the plummet rises and falls

    depend on the flow rate

    Greater the flow rate higher the rise

    DIRECT DISPLACEMENT METER

    Used for the measurement of domestic water supply

    PRINCIPLEIn this a stream of water enters meter and strikes the moving meter,

    the rate of rotation of the moving membrane is proportional to the velocity

    of the fluid.

    ROTAMETER

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    ValvesValves are used to control the rate of fluid in a pipe

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    Valves should withstand

    Pressure

    Temperature Distortion

    it should made up of brass, iron, bronze, and cast iron

    E.X

    Plug clock valve

    Globe valve

    Gate valve

    Diaphragm valve

    Quick opening valve

    Check valve

    PLUG CLOCK VALVE

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    Cylindrical

    bore

    Conical

    plug

    Stem

    It consists of casting body in to which a conical plug is fixed

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    The plug has an opening through liquid will flow

    Packing material is included around the stem to close it

    Uses

    Used for handling of gases

    Used for wide opening or complete closing

    Dis advantages

    Not suitable for water due to the material of which made

    Some times plug will come out easily

    For slight rotation also grate change in the flow so difficult to operate

    GLOBE VALVE

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    disc

    Globular body

    GLOBE VALVE

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    Globe valve consists of a globular body with a horizontal internal

    GLOBE VALVE

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    portion

    Passage of fluid is through a circular opening which can be opened

    and closed by inserting the disc

    Disc is called as seating disc It can be rotated freely on the stem

    Uses

    This should be used in pipe with size not more than 50 millimeters

    Disadvantage

    Rust, discomfort in opening of valve due to sludge

    GATE VALVE

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    GATE VALVE

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    GATE VALVE

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    Wedge shaped inclined seat type of gate is commonly used, pressure

    on the gate is controlling factor in large valves.

    Two type of gate valves are there in non rising stem valve thread of the valve stem engages the gate.

    Gate can be raised and lowered without movement of the stem.

    In rising stem valve length of the stem is more and gate and stem

    are single piece.

    Advantages

    Available in large sizes, different designs.

    In minimizes the differential pressure during opening and closing.

    Diaphragm valves It consists of flexible physical barrier, valves are made of natural rubber

    th ti bb f d ith T fl

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    or synthetic rubber faced with Teflon These are more suitable for fluids containing suspended solids and it can

    be easily sterilized.

    Quick opening valves

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    Pumps

    Positive Displacement pumps

    e.g. Reciprocating pump

    Gear pump.

    Non- Positive Displacement pump

    e.g. Centrifugal pump

    I iti di l t th fl id i

    PUMPS

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    In positive displacement pumps, the fluid isdrawn in to the chamber and the definite quantity

    of fluid is forced out through the outlet with a

    pressure for each stroke.

    Centrifugal pump deliver the volume of fluiddepending up on the discharge pressure.

    The reciprocating pump has an enlargement

    which moves to and fro in a stationary cylinder.

    Reciprocating pump

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    Diaphram pump

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    Rotary pump

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    Gear pump

    Lobe pump

    Vane pump

    Gear pump

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    Van pump

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