Viscosity of Liquids

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Questions and Answers

Define the coefficient of viscosity.

The coefficient of viscosity is the force per unit area required to maintain unit velocity difference between two parallel layers unit distance apart.

What property of liquids determines how readily they flow?

Viscosity

What is the SI unit of the coefficient of viscosity?

kg m^{-1} s^{-1}

What is fluidity in terms of viscosity?

<p>The reciprocal of the coefficient of viscosity.</p> Signup and view all the answers

What happens to the flow of liquid when the displacement of different layers becomes steady?

<p>There will be a constant difference in the velocity of different layers.</p> Signup and view all the answers

Express the force per unit area required to maintain steady flow mathematically.

<p>$F= rac{ ext{dv}}{ ext{dx}} imes ext{A} imes ext{η}$</p> Signup and view all the answers

What is the viscosity unit called in the CGS system?

<p>Poise (g cm^{-1} s^{-1})</p> Signup and view all the answers

What is the relationship between the coefficient of viscosity, density, and time of flow?

<p>$ ext{η} ext{ ∝ T d}$</p> Signup and view all the answers

What formula represents the viscosity of water (ηw) in terms of constants?

<p>$ ext{ηw} = ext{Constant} imes ext{Tw} imes ext{dw}$</p> Signup and view all the answers

How is the coefficient of viscosity of a liquid (ηl) compared to water derived?

<p>$rac{ ext{ηl}}{ ext{ηw}} = rac{ ext{T1} imes ext{d1}}{ ext{T} imes ext{dw}}$</p> Signup and view all the answers

Flashcards

Coefficient of viscosity

Force per unit area needed for unit velocity difference between layers.

Viscosity

Property of liquids that determines how readily they flow.

SI unit of viscosity

The standard unit in the SI system is kg m^{-1} s^{-1}.

Fluidity

The reciprocal of the coefficient of viscosity, indicating ease of flow.

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Steady flow in liquids

Occurs when the velocity difference between layers remains constant.

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Mathematical expression for flow

F = dv/dx × A × η represents steady flow force.

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CGS unit of viscosity

Viscosity unit in the CGS system is Poise (g cm^{-1} s^{-1}).

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Viscosity relationship

η is proportional to T (time) and d (density) in flow.

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Viscosity formula for water

Viscosity of water is ηw = Constant × Tw × dw.

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Comparative viscosity

ηl/ηw = (T1 × d1) / (T × dw) shows liquid viscosity relative to water.

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Study Notes

Viscosity

  • Viscosity is the property of liquids that determines their flow.
  • It is compared in terms of the coefficient of viscosity.

Coefficient of Viscosity

  • The coefficient of viscosity is the force per unit area required to maintain unit velocity difference between two parallel layers unit distance apart.
  • It is denoted by η (eta) and its unit is g cm^-1 s^-1 or poise.
  • Smaller units centipoise (10^-2 poise) and millipoise (10^-3 poise) are used.
  • The SI unit is kg m^-1 s^-1.

Fluidity

  • The reciprocal of the coefficient of viscosity is called fluidity.

Characteristics of Viscosity

  • The coefficient of viscosity is proportional to the density of the liquid and the time of flow of the liquid.
  • It is dependent on temperature.

Relationship Between Viscosity and Temperature

  • The coefficient of viscosity of a liquid is proportional to the temperature and density of the liquid.
  • η = Constant T d, where η is the coefficient of viscosity, T is the temperature, and d is the density of the liquid.

Comparison of Viscosity of Two Liquids

  • The ratio of the coefficients of viscosity of two liquids is equal to the ratio of their temperatures and densities.
  • η_l / η_w = T_1 / T × d_1 / d_w, where η_l and η_w are the coefficients of viscosity of the two liquids, and T_1, d_1, T, and d_w are their respective temperatures and densities.

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