FORMULAS FOR FLUID MECHANICS Flashcards

1
Q

Mass Density

A

ρ = M/V

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2
Q

Density for ideal gas

A

ρ = P/RT

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3
Q

What is R?

A

gas constant

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4
Q

Values of R

A

287 j/kg K
1716 lb ft/slug R

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5
Q

Kelvin=

A

C + 273

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6
Q

Rankine=

A

F + 460

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7
Q

Specific Volume

A

Vs = 1/ρ =V/M

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8
Q

Unit weight

A

γ =W/V = ρg

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9
Q

Specific Gravity

A

Sg= P(liquid or gas)/P(water or air)

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10
Q

Values for the unit weight of water

A

62.4 lb/ft^3
9.81 kN/m^3

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11
Q

Values for Density of water

A

1.94 slugs/ft^3
1000 kg/m^3

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12
Q

Specific gravity of water

A

1

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13
Q

Viscosity

A

µ = τ/(dv/dy)

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14
Q

Kinematic Viscosity

A

V = µ/P

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15
Q

Surface tension (pressure inside a droplet of liquid)

A

P = (4σ)/d

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16
Q

Capillarity

A

h = 2Tcosθ/ρgr = 4σcosθ/γd

17
Q

Compressibility

A

β = (-ΔV/V)/ΔP = 1/Eb

18
Q

Bulk Modulus of Elasticity

A

Eb = stress/strain = ΔP/(-ΔV/V)

19
Q

Pressure Disturbances

A

C = √(Eb/ ρ) = √(1/βρ)

20
Q

Property changes in ideal gas

A

P1V1/T1=P2V2/T2

21
Q

Boyle’s Law

A

P1V1 = P2V2

22
Q

Pressure!

A

P = F/A

23
Q

Absolute Pressure

A

P(abs) = P(gage) + P(atm)

24
Q

Gage Pressure

A

P(gage) = Pm
P(gage) = Σρgh = Σγh

25
Q

Atmospheric Pressure

A

P(atm) = 1 barometric pressure
P(atm) = 101.325 kPa
P(atm) = 1.03323 kg/cm^3 = 14.696 lb/in^2 = 760 mm hg

26
Q

CHANGE IN PRESSURE

A

P2 - P1 = γh
P2 = P1 + γh

27
Q

Pressure Head

A

h = P/γ

28
Q

Conversion of pressure head

A

hB = hA (GsA/GsB)

29
Q

Pressure below layers of different liquids

A

P(bottom) = Σγh + p

30
Q
A