1 Flashcards

1
Q

Define fluid in terms of mechanical behaviour

A

Both fluids and solids resist normal stresses by deforming however solids deform a limited amount and fluids do so continuously

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2
Q

Define stress

A

Force per unit area

Has two components - shear and normal

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3
Q

Define pressure

A

Normal stress in static fluids

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4
Q

Stress equations

A
σ= F/A
τ= F/A
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5
Q

Technique of forming equations by simplifying units

A

Principle of dimensional homogeneity

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6
Q

Coefficient of compressibility

A

κ = dP/(dρ/ρ) = −dP/(dV/V) = - pressure change/ relative volume change

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7
Q

Isothermal compressibility

A

α = 1/κ for an ideal gas RT = constant and κ=P

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8
Q

Reynold’s number equation

A

Re = ρVL/μ

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9
Q

Reynold’s number values

A

Re < 2400 laminar
2400 < Re < 4000 transitional
4000 < Re turbulent

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10
Q

Mach number

A
Ma =v/c= flow velocity /speed of sound
Ma<1 subsonic
Ma =sonic
1< Ma supersonic
1 << Ma hypersonic
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11
Q

Extensive properties

A

Depend on amount in system (V, E)

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12
Q

Intensive properties

A

Independent of mass in system (T, ρ)

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13
Q

Continuum approximation

A

Atomic nature of matter is neglected, properties can be extrapolated to zero-size regions

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14
Q

Dynamic viscosity meaning μ

A

Resistance to deformation of a fluid from shear stress τ = μ dy/du

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15
Q

Viscosity for a newtonian fluid

A

μ = μ(P,T) strong function of temperature

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16
Q

Viscosity of a non-Newtonian fluid

A

μ = μ(du/dy)

17
Q

Kinematic viscosity

A

v = μ/ρ ratio of dynamic viscosity and density

18
Q

Examples of non-Newtonian fluids

A

Shear thinning - colloidal suspensions, polymer solutions (paints)
Shear thickening - water-cornstarch (custard), water-sand
Bingham plastic - toothpaste, mayonaise

19
Q

Surface tension

A

Intermolecular forces cause gas-liquid phase to act like it’s in tension

20
Q

Capillary effect in tubes

A

Wetting h= 2σcosφ / ρgR

Non-wetting eg mercury φ>90°

21
Q

Saturation temperature Tsat

A

Temperature at which a substance changes phase at a given pressure

22
Q

Saturation pressure Psat

A

Pressure at which a substance changes phase at a given temperature

23
Q

Pv

A

Pressure of vapour molecules above liquid in equilibrium

24
Q

Caviation

A

Occurs when P~ Pv

Bubbles form and collapse from low to high pressure causing damage

25
Q

When there is a linear velocity distribution

A

du/dy = V/h

V is velocity and h is gap