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Fluids Final Note Sheet

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𝑃𝑉 = 𝑛𝑅𝑇 𝐹𝑏𝑢𝑜𝑦𝑎𝑛𝑐𝑦 = ρ𝑣𝑔 𝑃𝑢𝑛𝑑𝑒𝑟𝑤𝑎𝑡𝑒𝑟 = ρ𝑔ℎ 𝑃 =
If
𝑑𝑢
𝑑𝑡
,
𝑑𝑣
𝑑𝑡
,
𝑑𝑤
𝑑𝑡
= 0 then the term is steady
𝐹
𝐴
𝑄 = 𝑉𝐴 Bernoulli: 𝑃1 +
1
2
2
ρ𝑣1 + ρ𝑔ℎ1 = 𝑃2 +
1
2
2
ρ𝑣2 + ρ𝑔ℎ2
Velocity Potential:
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