Fluid Equations Flashcards

1
Q

What is SW?

A

γ = ρg

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2
Q

What is SG?

A

SG = ρ/ρh20

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3
Q

Ideal Gas law (density)

A

P = ρRT

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4
Q

Speed of sound =

A

c = √ (kRT)

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5
Q

dP/dz =

A

dP/dz = -γ ;

thus dP = -ρgdz

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6
Q

dy/dz =

A

dy/dz = -ay / (g + az)
a = acceleration in xyz;
az often 0

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7
Q

Ev =

A

-dP / (dV/V); dP / (dρ/ρ)

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8
Q

Continuity equation is:

A
Q1 = Q2;
Q = Av
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9
Q

Hydrostatic force (FR) =

A

γ hr A = ρgh A

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10
Q

What is yr and how to find it?

yr =

A

yr is the distance from surface to FR (along the line of action)
yr = (Ixc/ycA) + yc

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11
Q

What is yc?

A

yc is the dist from surface to centroid of hatch along the line of action. Usually find with trig.

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12
Q

FB (Archimedes) =

A

FB = γ V

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13
Q

Bernoulli Equation:

A

P + 1/2ρV^2 + γz = const

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14
Q

Equation for Total Head:

A

Bernoulli divided by gamma (ρg)

P/γ + (1/2g)V^2 + z

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15
Q

Hydraulic Grad line =

A

HGL = Total head with velocity term removed.

= P/γ + z

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16
Q

Newtonian shear =

A

τ = μ du/dy

17
Q

μ =

A

Dynμmic visc

μ = vρ

18
Q

Kinematic visc =

A

v = μ/ρ