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Venturi Meter Question

  1. Mar 19, 2017 #1
    1. The problem statement, all variables and given/known data
    A 4 inch to 1 inch diameter venturi meter is used to measure water flow and it
    has a mercury manometer deflection of 1 inch. What is the discharge
    through the four inch diameter pipe?

    2. Relevant equations
    Bernoulli Equation, manometer formula

    3. The attempt at a solution
    Thus far my attempt at a solution is using the Reynolds Transport Theorem. I know that for a steady flow process that there will be no change in volume for the control volume. Thus that term will be zero. So now I am left with

    ∫ρV*dA

    I have two diameters given and I know that it is a in-compressible fluid. So my flow in must equal my flow out. I am confused however upon the given information regarding the mercury deflection. Am I to use that deflection to give myself a pressure? Or is that a piece of information that is nonessential in approaching this problem?

    Best Regards,

    D
     
  2. jcsd
  3. Mar 20, 2017 #2

    billy_joule

    User Avatar
    Science Advisor

    The pressure differential is absolutely essential information.
    You can use Bernoulli's equation and the continuity equation to solve for flow rate.
     
  4. Mar 21, 2017 #3
    Thank you for your insight. I have solved the problem. I will post my answer once I am home to double check.

    Best Regards,
    D
     
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