Viscosity Quiz
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Questions and Answers

What causes viscous stresses in a fluid?

  • Pressure differences between fluid particles
  • The presence of solid particles in the fluid
  • Relative velocity of different fluid particles (correct)
  • Temperature gradients within the fluid

What do viscous stresses in a fluid depend on?

  • Temperature of the fluid
  • Spatial gradients of flow velocity (correct)
  • Chemical composition of the fluid
  • Pressure of the fluid

How many viscosity coefficients are there in total?

  • 81 (correct)
  • 54
  • 27
  • 18

What is the SI unit for viscous stresses?

<p>(Length)^2/time (D)</p> Signup and view all the answers

What is viscoelasticity?

<p>A reaction to deformation and rate of deformation (B)</p> Signup and view all the answers

What is the SI unit of dynamic viscosity?

<p>Newton-second per square meter (N·s/m2 (C)</p> Signup and view all the answers

How does viscosity tend to change with temperature in gases?

<p>It tends to increase (B)</p> Signup and view all the answers

What is the Chapman-Enskog approach used for?

<p>Calculating the viscosity of gaseous mixtures (B)</p> Signup and view all the answers

What is the mean free path?

<p>The average distance a molecule travels between collisions (B)</p> Signup and view all the answers

What is viscosity used for in industrial and scientific applications?

<p>To determine the flow behavior of fluids (C)</p> Signup and view all the answers

Flashcards

Viscous stress

Stress in a fluid resulting from the relative velocity of particles.

Viscosity tensor

A mathematical representation mapping velocity gradients to viscous stresses.

Newtonian fluid

A fluid with linear viscosity dependence on velocity gradients.

Viscoelasticity

A property of materials showing both viscosity and elasticity under stress.

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Dynamic viscosity unit

The SI unit for dynamic viscosity is N·s/m².

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Mean free path

The average distance a molecule travels between collisions.

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Viscosity and temperature

In gases, viscosity increases with temperature; in liquids, it usually decreases.

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Chapman-Enskog approach

Calculates viscosity for gaseous mixtures using individual viscosities.

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Fugitive elasticity

Term coined by Maxwell relating to fluid viscosity.

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Viscometers

Devices used to measure the viscosity of fluids.

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Study Notes

  • Viscous stresses in a fluid result from relative velocity of different fluid particles.
  • These stresses depend on spatial gradients of flow velocity.
  • For small velocity gradients, viscous stresses depend only on first derivatives of velocity.
  • Viscosity tensor maps velocity gradient tensor onto viscous stress tensor.
  • There are 81 viscosity coefficients in total.
  • Newtonian fluids have a linear dependence on first derivatives of velocity.
  • Viscous stresses must depend on spatial gradients of flow velocity.
  • The resulting SI units are (length)^2/time.
  • Viscous stresses must depend on spatial gradients of flow velocity.
  • The general relationship can be written in Cartesian coordinates.
  • Maxwell used the term fugitive elasticity for fluid viscosity.
  • Some liquids react like elastic solids when subjected to sudden stress.
  • Some solids flow like liquids under small stress, making them viscoelastic.
  • Viscoelastic solids can have shear viscosity and bulk viscosity.
  • Extensional viscosity is a linear combination of shear and bulk viscosities.
  • It is used for characterizing polymers.
  • Earth materials in geology can also be viscoelastic.
  • Viscoelasticity describes both elasticity and viscosity.
  • It is a reaction to deformation and rate of deformation.
  • Granite can flow like a liquid under small stress.
  • Viscosity is the measure of a fluid's resistance to flow.
  • It is measured with viscometers and rheometers.
  • The SI unit of dynamic viscosity is the newton-second per square meter (N·s/m2).
  • The most frequently used systems of US customary units are the British Gravitational (BG) and English Engineering (EE).
  • Viscosity tends to increase with temperature in gases and decrease with temperature in liquids.
  • Above the liquid-gas critical point, the mechanisms of momentum transport interpolate between liquid-like and gas-like behavior.
  • The viscosity of a system depends on how the molecules constituting the system interact.
  • Viscosity in gases arises principally from the molecular diffusion that transports momentum between layers of flow.
  • An elementary calculation for a dilute gas at temperature and density gives the value of viscosity.
  • The quantity, the mean free path, measures the average distance a molecule travels between collisions.
  • Viscosity is a measure of a fluid's resistance to flow.
  • It is affected by temperature, pressure, and the intermolecular interactions between molecules.
  • There are different methods for measuring viscosity, including rotational viscometry and capillary viscometry.
  • The viscosity of liquids can be calculated using empirically derived expressions based on existing viscosity measurements.
  • Viscosity of gaseous mixtures can be calculated using the Chapman-Enskog approach.
  • This approach uses the individual component viscosities, their respective volume fractions, and intermolecular interactions.
  • The dependence of viscosity on intermolecular interactions enters through collisional integrals.
  • These integrals may not be expressible in terms of elementary functions.
  • Viscosity is an important factor in many industrial and scientific applications.
  • It is used to determine the flow behavior of fluids and to optimize their performance.

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Description

Test your knowledge on viscosity, the measure of a fluid's resistance to flow, with this quiz. From the basics of viscous stresses and viscosity coefficients, to the complexities of viscoelasticity and molecular interactions, this quiz covers a wide range of topics related to viscosity. Whether you're a scientist or an engineer, this quiz will challenge your understanding of this important factor in many industrial and scientific applications.

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