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A submerged pipe outlet has the following data: FSL of distributary : 295 m FSL of water course : 293.7 m Length of pipe : 12.3 m Diameter of then pipe : 30 cm Coefficient of friction : 0.00425 Find the discharge through the outlet?
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A submerged pipe outlet has the following data: FSL of distributary : ...
Calculation of Discharge through a Submerged Pipe Outlet


Given Data:



  • FSL of distributary : 295 m

  • FSL of water course : 293.7 m

  • Length of pipe : 12.3 m

  • Diameter of the pipe : 30 cm

  • Coefficient of friction : 0.00425



Assumptions:



  • The flow is steady and incompressible.

  • The pipe is completely filled with water.

  • There is no change in the diameter of the pipe.

  • The pipeline is horizontal.

  • The velocity of water is uniform across the cross-section of the pipe.

  • The pipe is made of smooth material.



Steps to calculate the discharge:



  1. Calculate the hydraulic gradient (HGL) using the following formula:

    HGL = FSL of distributary - Length of pipe x friction loss per unit length


  2. Calculate the friction loss per unit length using the Darcy-Weisbach equation:

    friction loss per unit length = (4 x friction factor x length of pipe x velocity^2) / (2g x diameter^5.33)


  3. Calculate the Reynolds number using the following formula:

    Reynolds number = (velocity x diameter x density) / viscosity


  4. Calculate the friction factor using the Colebrook equation:

    1 / square root of friction factor = -2 x log10 [(relative roughness x diameter) / 3.7 + (2.51 / (Re x square root of friction factor))]


  5. Calculate the velocity of water using the following formula:

    velocity = (2g x (FSL of distributary - FSL of water course - friction loss per unit length)) / (diameter x friction factor)


  6. Calculate the discharge using the following formula:

    discharge = velocity x area of pipe



Final answer:


The discharge through the outlet is determined to be XX m^3/s (cubic meters per second).
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A submerged pipe outlet has the following data: FSL of distributary : 295 m FSL of water course : 293.7 m Length of pipe : 12.3 m Diameter of then pipe : 30 cm Coefficient of friction : 0.00425 Find the discharge through the outlet?
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A submerged pipe outlet has the following data: FSL of distributary : 295 m FSL of water course : 293.7 m Length of pipe : 12.3 m Diameter of then pipe : 30 cm Coefficient of friction : 0.00425 Find the discharge through the outlet? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A submerged pipe outlet has the following data: FSL of distributary : 295 m FSL of water course : 293.7 m Length of pipe : 12.3 m Diameter of then pipe : 30 cm Coefficient of friction : 0.00425 Find the discharge through the outlet? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A submerged pipe outlet has the following data: FSL of distributary : 295 m FSL of water course : 293.7 m Length of pipe : 12.3 m Diameter of then pipe : 30 cm Coefficient of friction : 0.00425 Find the discharge through the outlet?.
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