Newtonian Fluid Flow and Viscosity

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Questions and Answers

[Blank] is an expression of a liquid's resistance to flow.

Viscosity

Materials are classified into Newtonian and ______ systems based on their flow behavior.

Non-Newtonian

Flow properties of Newtonian systems follow ______ law of flow.

Newton's

In Newtonian systems, the rate of shear is directly proportional to ______.

<p>shearing stress</p> Signup and view all the answers

The viscosity (η) is measured in ______ in the CGS unite system.

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

Shearing stress (F) is measured in ______.

<p>dyne/cm²</p> Signup and view all the answers

Rate of Shear (G) is measured in ______.

<p>sec-1</p> Signup and view all the answers

According to the principle of viscosity, each lower layer of liquid will move with velocity proportional to its distance from the ______.

<p>stationary fixed layer</p> Signup and view all the answers

The difference in velocity (dv) between two planes of liquid separated by distance (dr) is termed ______.

<p>velocity gradient</p> Signup and view all the answers

The force per unit area (F/A) required to bring about flow is known as ______.

<p>shearing stress</p> Signup and view all the answers

The equation η = F/G defines η as the ______ or dynamic viscosity.

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

The shearing force required to produce a velocity of 1 cm/sec between two parallel planes of liquid each 1cm² in area and separated by a distance of 1 cm defines the ______.

<p>unit of viscosity</p> Signup and view all the answers

In Non-Newtonian systems, substances fail to follow ______ equation of flow.

<p>Newton's</p> Signup and view all the answers

[Blank] flow is one of the three classes of flow included in Non-Newtonian systems.

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

Shear thinning is also known as ______ flow.

<p>Pseudo plastic</p> Signup and view all the answers

[Blank] flow is also known as shear thickening behavior.

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

Capillary, Falling Sphere, Cup and Bob, and Cone and Plate are types of ______.

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

The time of flow of liquid under test is compared with time required for liquid of known viscosity (______), is the principle of Ostwald viscometer.

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

In the viscosity experiment for 2 liquids, the equation to find the viscosity is given by $η₁/η₂ = t₁ρ₁/______$

<p>t₂ρ₂</p> Signup and view all the answers

The tangential force per unit surface, known as shearing stress F and expressed in pascals is called ______.

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

[Blank] is the ratio of absolute viscosity to the density of liquid

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

[Blank] measures a fluid's resistance to flow under an applied force and is expressed in pascals.

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

In the shear stress vs. shear rate graph for a Newtonian fluid, the plot is a ______ line.

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

The unit of kinematic viscosity is either stock or ______.

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

In the Ostwald viscometer, the time required for a liquid to pass between two marks is measured to determine its ______.

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

For Non-Newtonian materials, the relationship between shear stress and shear rate is typically ______.

<p>non-linear</p> Signup and view all the answers

The general formula to determine viscosity involves the force (F) required for flow and the rate of ______ (G).

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

The viscosity of simple liquids such as water and milk are examples of ______ systems.

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

The rate of shear is typically expressed in ______.

<p>reciprocal seconds</p> Signup and view all the answers

In the Ostwald viscometer, the liquid flows through a ______ tube due to gravity.

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

The parameter denoted as 'G' in viscosity equations represents the ______.

<p>rate of shear</p> Signup and view all the answers

The term 'fluidity' is inversely proportional to the liquid's ______.

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

The determination of viscosity using an Ostwald viscometer measures the flow time between two ______.

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

The equation $F = ηG$ relates force, viscosity, and ______ in Newtonian fluids.

<p>rate of shear</p> Signup and view all the answers

For a shear-thinning fluid, the viscosity decreases as the shear rate ______.

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

A liquid with high viscosity has greater ______ to flow.

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

A ______ fluid does not experience a change in viscosity regardless of the amount of shear stress applied

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

All types of ______ cab be used to determine the viscosity of Newtonian systems.

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

Kinematic viscosity is equal to absolute viscosity divided by the ______ of liquid

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

Liquids that exhibit a decrease in viscosity with time under a constant shear rate display ______ behavior.

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

Flashcards

Viscosity

The expression of a liquid's resistance to flow.

Newtonian Systems

Systems where flow properties follow Newton's law of flow.

Shearing Stress (F)

The force per unit area needed to cause flow.

Poise

The unit of viscosity measurement.

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Non-Newtonian Systems

Substances that don't follow Newton's flow equation.

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Ostwald Viscometer

Viscometer using time for liquid to pass between marks.

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Dynamic viscosity (η)

Tangential force per unit surface, expressed in pascals.

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Kinematic viscosity (v)

Ratio of absolute viscosity to liquid density.

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Study Notes

  • Viscosity expresses a liquid's resistance to flow.
  • Higher viscosity means greater resistance.

Material Classification by Flow Type

  • Materials may be classified into Newtonian systems or Non-Newtonian systems based on flow.

Newtonian Systems

  • Follow Newton's law of flow where the rate of shear is directly proportional to shearing stress
  • Viscosity (η) is measured in Poise (dyne.sec/cm²).
  • Shearing stress (F) is measured in dyne/cm².
  • Rate of Shear (G) is measured in sec⁻¹.
  • Simple liquids like water and milk are examples.

Newtonian System Principle

  • Imagine a liquid block comprised of parallel molecule plates
  • If the top plate moves at a constant velocity, each lower layer moves with velocity proportional to its distance from the stationary bottom layer
  • The velocity gradient (rate of shear) = dv/dr, where dv is the velocity difference between two liquid planes separated by distance dr
  • Shearing stress (F) refers to the force per unit area (F/A) needed to initiate flow
  • Higher viscosity leads to higher shear stress required for a certain shear rate
  • Viscosity coefficient or viscosity (dynamic or absolute viscosity) can be expressed as η = F/G.

Viscosity Measurement

  • The shearing force needed to produce a 1 cm/sec velocity between two parallel liquid planes each 1cm² in area separated by 1 cm.
  • Measured as dyne/cm² = poise * cm/sec/cm.
  • 1 Poise equals dyne. Sec/cm².
  • 1 centiPoise (Cp) equals 0.01 poise.

Non-Newtonian Systems

  • These substances deviate from Newton's flow equation
  • Includes plastic flow, pseudoplastic flow (shear thinning), and dilatant flow (shear thickening)

Viscosity Determination

  • Viscometers can ascertain the viscosity of Newtonian systems
  • Examples include:
  • Capillary Viscometer (e.g., Ostwald Viscometer)
  • Falling Sphere Viscometer
  • Cup and Bob Viscometer
  • Cone and Plate Viscometer

Ostwald Viscometer (Capillary Viscometer)

  • The time is measured for a liquid to pass between two marks, flowing by gravity via a vertical capillary tube
  • It involves comparing the flow time of a test liquid against a liquid with known viscosity (e.g., water).

Viscosity Measurement for Two Liquids

  • η₁/η₂ = t₁ρ₁/t₂ρ₂, where:
  • t = time
  • ρ = density

Procedure for Viscosity Measurement

  • Introduce 10 mL of water into the cylindrical tube, and raise it to the upper mark
  • Measure the time water takes to pass between the two marks (t₁) with a stopwatch
  • Replace water with sample (A), then sample (B), and repeat the procedure to measure (t₂) for sample A, and (t₃) for sample B
  • Repeat the prior procedure three times for each sample
  • Determine η₂ for sample (A) and η₃ for sample (B)
  • The following relationships hold:
    • η₁/η₂ = t₁/t₂
    • ρ₁ = ρ₂ (constant)
    • η₁ (water) = 1 cp

Results

  • η₁/η₂ = t₁/t₂

Types of Viscosity

Dynamic Viscosity (η)

  • Represents the tangential force per unit surface (shearing stress F, in pascals).
  • dv/dx ratio is a speed gradient, indicating shear rate G, measured in reciprocal seconds (s⁻¹).

Kinematic Viscosity (ν)

  • Calculated as absolute viscosity divided by liquid density (η/ρ).
  • Measured in stokes or centistokes (cs).

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