Application of Bernoulli Equation
Example 2 (continued) Recall
strategy for solution:
The
figure below shows the datum for zero elevation and the streamline with point
1 at the
surface of the gasoline and point 2 where the salt water exits the nozzle of
diameter, d. Recall
the data: h = 2 ft, e = 3.6 ft, d = 0.06 ft
= diameter at nozzle exit from tank Qo
= 0.09 ft3/sec γsalt water = 64.4 lb/ft3,
γgasoline
= 42.5 lb/ft3. P1 + ½ ρV12
+ γZ1 = P2
+ ½ ρV22 + γZ2 At
point 1: V1 = 0 (large
tank) Since 2 fluids, γZ1 = γgasoline
h + γsaltwater e At
point 2: P2 = 0 psfg, Z2
= 0 ft, V2 = Qo/A2 = Qo / (πd2/4) = 31.832 ft/sec P1 =
½ ρ2V22 - γgasoline h - γsaltwater
e P1 = ½ (1.1)[(62.4)/32.2] (31.832)2 –
42.5(2) – (1.1)(62.4)(3.6) = 748.9 psfg =
5.2 psig |
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