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Page Title: Application of Bernoulli’s Equation to a Venturi
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Extended Bernoulli
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Thermodynamics Heat Transfer and Fluid Flow Volume 3 of 3
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Application of Bernoulli’s Equation to a Venturi

Fluid Flow BERNOULLI’S EQUATION Now we can use the Extended Bernoulli equation to determine the required pump head. z1 v2 1 2g P1n1 gc g Hp z2 v2 2 2g P2n2 gc g Hf Hp (z2 z1) æ ç ç è ö ÷ ÷ ø v2 2 v2 1 2g (P2 P1)  n gc g Hf 65  ft æ ç è ö ÷ ø 0.178 ft sec 2 æ ç è ö ÷ ø 0 ft sec 2 2æ ç è ö ÷ ø 32.17 ft  lbm lbf  sec2 0  ft 2  ft Hp 67  ft The  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  due primarily to the 65 ft. evaluation increase and the 2 ft. of friction head. Application of Bernoulli’s Equation to a Venturi Many plant components, such as a venturi, may be analyzed using Bernoulli’s equation and the continuity equation.   A venturi is a flow measuring device that consists of a gradual contraction followed by a gradual expansion.  An example of a venturi is shown in Figure 6.  By measuring the 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 Meter Rev. 0 Page 27 HT-03

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