Applied Fluid Mechanics Unit 2 - Viscosity of Fluids
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Questions and Answers

What is viscosity a measure of?

  • A fluid's density
  • A fluid's pressure
  • A fluid's temperature
  • A fluid's resistance to flow (correct)
  • All fluids have the same viscosity.

    False (B)

    What are the two types of viscosity defined in fluid mechanics?

    Dynamic viscosity and kinematic viscosity

    Glycerine, castor oil, and tar are examples of fluids with _____ viscosity.

    <p>high</p> Signup and view all the answers

    Match the following fluids with their viscosity classification:

    <p>Water = Low viscosity Kerosene = Low viscosity Glycerine = High viscosity Tar = High viscosity</p> Signup and view all the answers

    According to Newton's Law of Viscosity, what must be present for viscous flow?

    <p>Shear stress (A)</p> Signup and view all the answers

    A Newtonian fluid's viscosity changes with shear rate.

    <p>False (B)</p> Signup and view all the answers

    Name one method used to measure viscosity.

    <p>Viscometer</p> Signup and view all the answers

    What does the coefficient of viscosity represent?

    <p>Constant of proportionality for shear stress (D)</p> Signup and view all the answers

    Kinematic viscosity is measured in Pa.s.

    <p>False (B)</p> Signup and view all the answers

    What is the formula relating shear stress to dynamic viscosity?

    <p>τ = μ (du/dy)</p> Signup and view all the answers

    The unit of dynamic viscosity in SI is __________.

    <p>Pa.s</p> Signup and view all the answers

    Match the types of viscosity with their descriptions:

    <p>Dynamic viscosity = Resistance to flow of a fluid under an applied force Kinematic viscosity = Ratio of dynamic viscosity to fluid density</p> Signup and view all the answers

    Which application does viscosity NOT play a role in?

    <p>Concrete strength testing (A)</p> Signup and view all the answers

    The dynamic viscosity is expressed in kg/ms.

    <p>True (A)</p> Signup and view all the answers

    What is the SI unit of kinematic viscosity?

    <p>m²/s</p> Signup and view all the answers

    What is the value of 1 stoke in m²/s?

    <p>0.0001 m²/s (B)</p> Signup and view all the answers

    Viscosity of gases decreases with an increase in temperature.

    <p>False (B)</p> Signup and view all the answers

    What type of fluids are characterized by zero viscosity?

    <p>Ideal fluids</p> Signup and view all the answers

    The viscosity of liquids _________ when heated.

    <p>decreases</p> Signup and view all the answers

    Match the type of fluid with its characteristic:

    <p>Ideal Fluid = Zero viscosity Newtonian Fluid = Viscosity is constant Non-Newtonian Fluid = Viscosity depends on shear rate Real Fluid = All actual fluids</p> Signup and view all the answers

    Which of the following is an example of a Newtonian fluid?

    <p>Water (A)</p> Signup and view all the answers

    Cohesive forces are more significant than molecular momentum for the viscosity of gases.

    <p>False (B)</p> Signup and view all the answers

    1 cSt is equal to ________ m²/s.

    <p>0.000001</p> Signup and view all the answers

    Which of the following describes Newtonian fluids?

    <p>They obey Newton's law of viscosity. (A)</p> Signup and view all the answers

    Non-Newtonian fluids include substances like honey and paints.

    <p>True (A)</p> Signup and view all the answers

    What is the significance of the Viscosity Index (VI)?

    <p>It indicates how the viscosity of a fluid changes with temperature.</p> Signup and view all the answers

    The device used to measure the viscosity of fluids is called a ______.

    <p>viscometer</p> Signup and view all the answers

    Match the type of viscometer with its description:

    <p>Rotating drum Viscometer = Measures resistance to rotation Capillary tube Viscometer = Fluid flows through a narrow tube Falling-ball Viscometer = Ball falls through fluid to measure viscosity Saybolt Universal Viscometer = Measures flow time for a specific volume of fluid</p> Signup and view all the answers

    What does the 'W' in SAE viscosity grades represent?

    <p>Winter (D)</p> Signup and view all the answers

    SAE-15W40 refers to a monograde oil.

    <p>False (B)</p> Signup and view all the answers

    Write one example of a non-Newtonian fluid.

    <p>Honey</p> Signup and view all the answers

    Which of the following is a characteristic of hydraulic fluids?

    <p>Non-corrosiveness (B)</p> Signup and view all the answers

    ISO Viscosity Grades include a range of viscosities from 0 to 100.

    <p>False (B)</p> Signup and view all the answers

    What does the 'W' in SAE viscosity grades signify?

    <p>Winter viscosity</p> Signup and view all the answers

    The viscosity grade of ISO VG 22 means its nominal kinematic viscosity is __________ cSt at 40°C.

    <p>22</p> Signup and view all the answers

    Match the following terms with their definitions:

    <p>Viscosity = Resistance to flow Shear Force = Force acting parallel to surface Power of the shaft = Rate of doing work Cleanliness = Absence of contaminants</p> Signup and view all the answers

    What is one of the formulas for calculating shear stress?

    <p>Shear Stress = Shear Force / Area (C)</p> Signup and view all the answers

    The numbers in SAE viscosity grades indicate the viscosity of an oil only when hot.

    <p>False (B)</p> Signup and view all the answers

    The formula for calculating the velocity of a shaft is __________.

    <p>πdN/60</p> Signup and view all the answers

    Flashcards

    Viscosity

    The resistance of a fluid to flow, caused by internal friction between its layers.

    Shear Stress (τ)

    The force per unit area that a fluid exerts on a surface due to its internal friction.

    Velocity Gradient (du/dy)

    The rate at which the velocity of a fluid changes with distance.

    Coefficient of Viscosity (μ)

    The proportionality constant between shear stress and velocity gradient, representing the fluid's resistance to flow.

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    Kinematic Viscosity (ν)

    The ratio of dynamic viscosity to density, representing the fluid's resistance to flow due to its internal friction and mass.

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    Dynamic Viscosity

    The viscosity measured in Pascal-seconds (Pa.s) or Newton-seconds per square meter (Ns/m²), also known as absolute viscosity.

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    Kinematic Viscosity

    Measured in units of square meters per second (m²/s) or Stokes (St).

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    Viscosity in Oil & Gas Extraction

    The application of viscosity in designing oil and gas extraction systems, considering the fluid's resistance to flow at high pressure and low temperatures.

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    What is viscosity?

    Viscosity is the measure of a fluid's resistance to flow. It describes how easily a fluid flows under stress.

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    Newton's Law of Viscosity

    Newton's Law of Viscosity states that the shear stress (force per unit area) in a fluid is directly proportional to the rate of change of velocity with respect to distance (velocity gradient).

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    Newtonian Fluid

    Newtonian fluids obey Newton's Law of Viscosity, meaning their viscosity is constant regardless of the applied shear rate. Examples include water, air, and gasoline.

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    Non-Newtonian Fluid

    Non-Newtonian fluids do not obey Newton's Law of Viscosity, meaning their viscosity changes with the applied shear rate. Examples include ketchup, blood, and paint.

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    How does temperature affect viscosity?

    The viscosity of many fluids changes significantly with temperature. Generally, liquid viscosity decreases with an increase in temperature.

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    How is viscosity measured?

    Viscosity can be measured using a variety of methods, such as capillary viscometers, rotating viscometers, and falling sphere viscometers. Each method has its own advantages and disadvantages depending on the fluid type, viscosity range, and desired accuracy.

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    Stoke (St)

    A unit of viscosity equal to 10^-4 m^2/s or 0.001 cm^2/s. Often seen in engineering applications.

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    Centistoke (cSt)

    A unit of viscosity equal to 10^-6 m^2/s or 0.000001 cm^2/s. Used for very viscous fluids.

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    Ideal Fluid

    A hypothetical fluid with zero viscosity and surface tension. It's an idealized concept used in fluid dynamics.

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    Real Fluid

    All real-world fluids have some viscosity.

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    Ideal Plastic Fluid

    A type of non-Newtonian fluid where some stress must be applied before it starts to flow (like toothpaste).

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    Viscosity Index (VI)

    A measure of how much a fluid's viscosity changes with temperature.

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    Viscometers/Rheometers

    Devices used to measure the viscosity of fluids.

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    Saybolt Universal Viscometer

    A type of viscometer that measures the time it takes for a specific volume of fluid to flow through a calibrated orifice.

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    SAE Viscosity Grades

    A system for classifying engine oils and lubricants based on viscosity.

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    Monograde Oil

    A single viscosity grade, typically used for a specific temperature range.

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    Multi-Grade Oil

    A lubricant with multiple viscosity grades, suitable for a wider range of temperatures.

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    What is ISO Viscosity Grade?

    An international standard used to classify oils based on their viscosity. It uses the prefix "ISO VG" followed by a number representing the nominal kinematic viscosity in centistokes (cSt) at 40°C. For example, ISO VG 22 indicates a viscosity grade of 22 cSt ± 10% at 40°C.

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    What is viscosity in hydraulic fluids?

    A measure of a fluid's resistance to flow. Higher viscosity means a fluid flows more slowly. For hydraulic fluids, the viscosity must be sufficient for lubrication, but not too high to hinder fluid movement.

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    What is the lubricating capability characteristic of a hydraulic fluid?

    The ability of a fluid to reduce friction between moving parts, preventing wear and tear. It is crucial for hydraulic systems to ensure smooth operation and longevity.

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    What is the cleanliness characteristic of a hydraulic fluid?

    The cleanliness of a hydraulic fluid is essential to prevent clogging and damage to system components. Impurities can cause wear, reduce efficiency, and lead to malfunctions.

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    What is the chemical stability characteristic of a hydraulic fluid?

    The ability of a hydraulic fluid to withstand changes in chemical composition over time, ensuring it maintains its desired properties. Chemical stability prevents degradation and ensures proper performance.

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    What is the non-corrosiveness characteristic of a hydraulic fluid?

    A hydraulic fluid should not corrode or damage metal parts in the system. This characteristic ensures the longevity and performance of the system.

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    What is the bacteria resistance characteristic of a hydraulic fluid?

    The ability of a hydraulic fluid to resist the growth of bacteria, which can hinder performance and lead to system contamination.

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    What is the ecological acceptability characteristic of a hydraulic fluid?

    Hydraulic fluid should have minimal impact on the environment, minimizing harmful emissions and waste. This consideration ensures sustainability and responsible operation.

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    Study Notes

    Applied Fluid Mechanics (Unit 2) - Viscosity of Fluids

    • Viscosity is a measure of a fluid's resistance to flow (internal resistance).
    • All fluids exhibit some viscosity.
    • Viscosity is a property of fluids that resists the movement of one fluid layer over another.
    • Fluids with high viscosity flow slowly (e.g., glycerine, castor oil, tar).
    • Fluids with low viscosity flow quickly (e.g., water, kerosene, petrol).

    Newton's Law of Viscosity

    • Shear stress is directly proportional to the rate of shear strain (velocity gradient).
    • τ = μ (du/dy)
      • τ = shear stress (N/m²)
      • μ = dynamic viscosity (kg/ms or Ns/m²)
      • du/dy = velocity gradient (1/s)

    Types of Viscosity

    • Dynamic viscosity (μ): Measures the internal resistance of a fluid. Units: Pa·s, Ns/m², kg/m·s, poise.
    • Kinematic viscosity (ν): Measures the ratio of dynamic viscosity to density. Units: m²/s, stokes (St), centistokes (cSt).
      • ν = μ/ρ

    Viscosity and Temperature

    • Liquids: Viscosity decreases with increasing temperature. Cohesion forces decrease as temperature increases.
    • Gases: Viscosity increases with increasing temperature. Molecular momentum transfer increases.

    Viscosity Measurement

    • Viscometers or rheometers are used to measure fluid viscosity.
    • Various types of viscometers include rotating drum, capillary tube, falling-ball, and Saybolt Universal.

    Viscosity Measurement/ Saybolt Universal Viscometer

    • Saybolt equations calculate kinematic viscosity (v(cS)) based on time (t) it takes for 60 cm³ to flow through an orifice.
    • v(cS) = 0.226t – 195/t, if t < 100 SUS
    • v(cS) = 0.220t – 135/t, if t > 100 SUS

    SAE Viscosity Grades

    • SAE viscosity grades represent viscosity at different temperatures.
    • The first number signifies low-temperature viscosity.
    • The second number signifies high-temperature viscosity.

    ISO Viscosity Grades

    • ISO viscosity grades use ISO VG followed by a number.
    • The number represents nominal kinematic viscosity in cSt (mm²/s) at 40°C.

    Newtonian and Non-Newtonian Fluids

    • Newtonian fluids: Obey Newton's law of viscosity (e.g., water, air).
    • Non-Newtonian fluids: Do not obey Newton's law of viscosity (e.g., honey, paints).

    Viscosity Index (VI)

    • Shows how viscosity changes with temperature.
    • Important for lubricating oils and hydraulic fluids.

    Applications of Viscosity

    • Transparent and storing facilities for fluids (pipes, tanks)
    • Bitumen used for road construction
    • Sewer line/pipe flow design and analysis
    • Oil and gas drilling
    • Maintaining machine and automobile performance

    Fluid Classification

    • Ideal fluid: Imaginary fluid with zero viscosity, surface tension, and incompressibility.

    • Real fluid: Practical fluid with viscosity, surface tension, and compressibility.

    • Newtonian fluid: Viscosity is independent of shear rate (e.g., water, air).

    • Non-Newtonian fluid: Viscosity changes with shear rate (e.g., honey, paints).

    • Ideal plastic fluid: A non-Newtonian fluid in which shear stress must exceed a yield point before flow begins (e.g., drilling fluid).

    Characteristics of Hydraulic Fluids

    • Adequate viscosity
    • Lubricating ability
    • Cleanliness
    • Chemical stability
    • Non-corrosiveness
    • Resistance to bacterial growth
    • Ecologically acceptable
    • Low compressibility

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    Description

    This quiz covers the key concepts related to viscosity in fluids from the Applied Fluid Mechanics Unit 2. Understand the definitions, formulas, and types of viscosity, as well as how temperature affects fluid resistance. Test your knowledge and grasp the importance of viscosity in fluid dynamics.

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