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: Pipe Stuff:
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: Pipe Stuff:
