Calculation of Diameter and Discharge of Pipe

Problem 1. Calculate the diameter of a circular pipe that has discharges 2.5 cuset water with a velocity of 6 fps?
Exam Name: PGCB 2015

Solution:
We Know,
          Q =A*V
              =  (πd²/4)*V

Here,  Q=2.5 ft³/s
           V= 6fps
        ⇒ d²= (4Q)/(πV)
                =  (4*2.5)/(π*6)
                =0.53ft ²
            ∴ d= 0.72ft
 Answer: 0.72ft
                 

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Problem 2. Determine the diameter of a flow having discharge 1 ft³/s and velocity 2 ft/s. Exam Name: BIFPCL 2015

Solution:
We Know,
          Q =A*V
              =  (πd²/4)*V

Here,  Q=1ft³/s
           V= 2 ft/s
        ⇒ d²= (4Q)/(πV)
                =  (4*1)/(π*2)
                =0.0.63ft ²
            ∴ d= 0.8ft
 Answer: 0.8 ft

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Problem 3. Find the discharge of a pipe if the velocity of fluid through the pipe is 20 m/s and diameter of pipe is 18 cm?
Exam Name: BWDB 2013

Solution:
We Know,
          Q =A*V
              = 20 * (π/4)* 0.18 ²
              = 0.509 m³/s
Answer: 0.509 m³/s

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