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To calculate the total friction loss in a branch pipe, you can use the Darcy-Weisbach equation, which is commonly used for pipe flow. The equation is as follows:

hf=f⋅L⋅V22⋅Dh_f = frac{{f cdot L cdot V^2}}{{2 cdot D}}

Where:

  • hfh_f is the head loss due to friction
  • ff is the Darcy friction factor
  • LL is the length of the branch pipe
  • VV is the velocity of the fluid in the branch pipe
  • DD is the diameter of the branch pipe

However, determining the Darcy friction factor (ff) can be challenging and depends on various factors, such as the Reynolds number, pipe roughness, and flow conditions. The friction factor can be obtained from empirical correlations, Moody's chart, or by using empirical equations such as the Colebrook-White equation.

It's important to note that accurately determining the friction factor requires additional information about the specific flow conditions and pipe properties. Consulting engineering references or specialized software can provide more precise results for calculating friction loss in branch pipes.

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