Equations Flashcards

1
Q

Bernoulli’s pressure

A

P = p + V²ρ/2 + ρgz

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2
Q

Bernoulli’s head

A

H = p/ρg + V²/2g + z

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3
Q

Bernoulli’s energy

A

E = p/ρ + V²/2 + gz

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4
Q

Head loss

A

(p/ρg + V²/2g + z)₁ + h pump = (p/ρg + V²/2g + z)₂ + h turbine + h loss

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5
Q

Stagnant pressure

A

Stagnant pressure = p + ρV²/2

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6
Q

Bernoulli’s assumptions (5)

A
1 Steady state
2 Incompressible
3 Streamlined
4 No heat exchange (energy loss)
5 Constant T
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7
Q

Mass flow rate

A

m = VAρ

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8
Q

Pressure drop due to friction

A

∆P = f x L/D x 1/2 ρV²

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9
Q

Reynold’s number

A

Re = ρVD/μ = VD/v

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10
Q

Momentum flux correction factor

A

F = m(β₂V₂ - β₁V₁)

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11
Q

Forces acting in momentum equations

A

Pressure x Area, viscous, momentum change, gravity, reaction

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