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Reduced Pipeline Flow

  1. May 2, 2009 #1
    1. The problem statement, all variables and given/known data

    Horizontal pipeline ID 350mm bends vertically upwards 90 degrees, reduces in diameter to 250mm ID. Bend outlet has a pressure head of 3m at 0.6m above centreline of horizontal pipe. If volume of the reducing bend is 75 litres, and the discharge is upward at 135L/s, determine restraining force and its angle with the vertical for the bend only, ignore losses.

    2. Relevant equations

    Bernoulli Equation & Momentum Equation is to be used.

    3. The attempt at a solution

    My attempt. I have calculated v1 = 1.4032m/s and v2 = 2.7502m/s
    Then Im stuck on how to input pressures and z values into Bernoulli equation.
    Do I assume p1 is found by p= 1000*9.81*3m? If so what are the z1 and z2 values for Bernoulli? Is z1 = 0.6m and z2 = 0?
    Once I have this I just calculate p2 from Bernoulli.
    From here Im right to use Momentum equation to find Fx and Fy to find resultant F.
  2. jcsd
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