Cdw01

Head Loss calcs

Jun 22nd, 2016
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  1. Head loss = delta P/L = Darcy * p * (Q/A)^2 / (2*D)
  2. Darcy friction factor for turbulent flow, using Blasius approximation ~= .316 * (Re)^(-1/4)
  3. Re = Reynold's number = Q*D/(nu*A)
  4. Q = volumetric flow rate (m^3/s) = .05
  5. D1 = 2.5" pipe diameter (m) = .0635
  6. D2 = 3/4" pipe diameter (m) = .01905
  7. A = pi*D^2/4 = 2.85e-4 m^2
  8. u air @ 35 degrees C ~= 1.9e-5 kg/(m*s)
  9. p air = 1.14 kg/m^3
  10. nu = kinematic viscosity (m^2/s) = u/p = 1.7e-5
  11.  
  12. Re = 1.97e5 -> turbulent flow
  13. Darcy friction factor = .015
  14.  
  15. Delta P, D1 = ~4.6 mm H2O/m
  16.  
  17. Delta P, D2 = ~1,400 mm H2O/m
  18. Which seems really high because our pump is only outputting 4000, but the mixing seems satisfactory everywhere along the line.
  19.  
  20. I have not accounted for line openings yet.
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