Fluid Mechanics at University Of Trinidad And Tobago | Flashcards & Summaries

Lernmaterialien für Fluid Mechanics an der University of Trinidad and Tobago

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is defined as the weight per unit volume.

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Specific weight ω (omega)

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There are three different ways to represent density

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 Mass density
 Specific Weight
 Relative Density
 (Specific Volume)

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The effect of surface tension is to

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reduce the surface of a free body of liquid to a minimum, since to expand
the surface area molecules have to be brought to the surface from the bulk of the liquid against the
unbalanced attraction pulling the surface molecules inwards.
 For this reason, drops of liquid tend to take a spherical shape in order to minimize surface area.

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is a measure of the quantity of a substance.
 Units: g or kg

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Mass, m

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of a substance is that quantity of matter contained in a unit volume of the substance

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The density

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The relationship between ω and ρ can be deduced from

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Newton's second law,
(F = m.a)
Weight per unit volume = Mass per unit volume x g
ω = ρg
 Units: Newtons per cubic metre (N.m-3) .
 Dimensions: M L-2 T -2
 Typical values:
 water - 9·81 x 103 N.m-3

air - 12·07 N.m

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is defined as the ratio of dynamic viscosity to mass density:
υ = μ/ρ
 Units: square metres per second (m2 s-1).

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Kinematic viscosity, υ

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is defined as the ratio of the mass density of a substance to some standard
mass density

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Relative density or specific gravity) σ (sigma

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For solids and liquids, the standard mass density chosen is the maximum density of water (which occurs at 4 °C at
atmospheric pressure):

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Relative density

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is a force given by mass multiplied by acceleration due to gravity, g.
 Units: N
 W= mg
 Standard S.I. value of g is 9.81 m s-2.

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Weight, W

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Units: kilograms per cubic metre (kg m-3).
 Dimensions: M L-3
 Typical values at STP (standard temperature and pressure i.e. p = 1·013 x 10-5 N m -2 , T= 288·15 K)
 water, 998 kg m-3
 air, 1·23 kg m-3

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Mass density

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For such a small droplet, surface tension will cause

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an increase of internal pressure p in order to balance
the surface force.

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Q:

is defined as the weight per unit volume.

A:

Specific weight ω (omega)

Q:

There are three different ways to represent density

A:

 Mass density
 Specific Weight
 Relative Density
 (Specific Volume)

Q:

The effect of surface tension is to

A:

reduce the surface of a free body of liquid to a minimum, since to expand
the surface area molecules have to be brought to the surface from the bulk of the liquid against the
unbalanced attraction pulling the surface molecules inwards.
 For this reason, drops of liquid tend to take a spherical shape in order to minimize surface area.

Q:

is a measure of the quantity of a substance.
 Units: g or kg

A:

Mass, m

Q:

of a substance is that quantity of matter contained in a unit volume of the substance

A:

The density

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Q:

The relationship between ω and ρ can be deduced from

A:

Newton's second law,
(F = m.a)
Weight per unit volume = Mass per unit volume x g
ω = ρg
 Units: Newtons per cubic metre (N.m-3) .
 Dimensions: M L-2 T -2
 Typical values:
 water - 9·81 x 103 N.m-3

air - 12·07 N.m

Q:

is defined as the ratio of dynamic viscosity to mass density:
υ = μ/ρ
 Units: square metres per second (m2 s-1).

A:

Kinematic viscosity, υ

Q:

is defined as the ratio of the mass density of a substance to some standard
mass density

A:

Relative density or specific gravity) σ (sigma

Q:

For solids and liquids, the standard mass density chosen is the maximum density of water (which occurs at 4 °C at
atmospheric pressure):

A:

Relative density

Q:

is a force given by mass multiplied by acceleration due to gravity, g.
 Units: N
 W= mg
 Standard S.I. value of g is 9.81 m s-2.

A:

Weight, W

Q:

Units: kilograms per cubic metre (kg m-3).
 Dimensions: M L-3
 Typical values at STP (standard temperature and pressure i.e. p = 1·013 x 10-5 N m -2 , T= 288·15 K)
 water, 998 kg m-3
 air, 1·23 kg m-3

A:

Mass density

Q:

For such a small droplet, surface tension will cause

A:

an increase of internal pressure p in order to balance
the surface force.

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