Fluid FlowBERNOULLI’S EQUATIONNow we can use the Extended Bernoulli equation to determine the required pump head.z_{1}v^{2}12gP_{1n1}g_{c}gH_{p}z_{2}v^{2}22gP_{2n2}g_{c}gH_{f}H_{p}(z_{2}z_{1})v^{2}2v^{2}12g(P_{2}P_{1}) ng_{c}gH_{f}65 ft0.178ftsec20ftsec22^{}32.17ft lbmlbf sec^{2}0 ft2 ftH_{p}67 ftThe student should note that the solution of this example problem has a numerical value that"makes sense" from the data given in the problem. The total head increase of 67 ft. is dueprimarily to the 65 ft. evaluation increase and the 2 ft. of friction head.ApplicationofBernoulli’sEquationtoaVenturiMany plant components, such as a venturi, may be analyzed using Bernoulli’s equation and thecontinuity equation. A venturi is a flow measuring device that consists of a gradual contractionfollowed by a gradual expansion. An example of a venturi is shown in Figure 6. By measuringthe differential pressure between the inlet of the venturi (point 1) and the throat of the venturi(point 2), the flow velocity and mass flow rate can be determined based on Bernoulli’s equation.Figure 6 Venturi MeterRev. 0 Page 27 HT-03

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