How to Calculate Back Pressure in a 24" Sparge Pipe?

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To calculate back pressure in a 24" sparge pipe transporting hot water, first determine whether the flow is laminar or turbulent, as this affects the calculations. The flow rate is 3010 m³/hr, and the pipe has a diameter of 24" with no elbows over a length of 60 ft. Back pressure can be estimated by considering the pressure drop along the pipe plus atmospheric pressure at the outlet. Online calculators may assist in this calculation, and a specific equation from a provided link has been mentioned but is unfamiliar to the user. Understanding these principles is crucial for the design of the sparge pipe in the rotary breaker project.
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Hello All,

Problem Statement :
  • This is for design of a 24" sparge pipe for transporting hot water (85 deg C) for over 60 ft.
  • Asked to calculate the Back pressure

Data :
  • Liquid in the pipe: water
  • Flow rate : 3010 m^3/hr = 0.83611 m^3/sec
  • Pipe Dia : 24" = 2.032 mts
  • No elbows throughout 60 ft length


How do I go about this calculation ?
  1. Do I first find out if its laminar flow or turbulent flow
  2. How to arrive at back pressure equations ?
  3. Found a link "www.harcomanufacturing.com/docs/Backpressure%20CalculatorP.xls" : that gives an equation which I have never come across in any internet searches before. Is that how Back pressure is calculated

Background of the problem:
This is for a Rotary Breaker project where we have a 24" Sparge Pipe that is sprays hot water onto the huge chunks of solids being processed inside a rotary breaker. Rotary breakers belong the screening family ; where the machine breaks the solids inside a giant cylindrical section (this project ; 16ft Dia) and keep screening the materials as the go forwards in length. Water is used to form a semi slurry state to help fascilitate the breaking
 
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