.TRANSFORM.Fluid.ClosureRelations.PressureLoss.Functions.Bends.K_miterBend

Information

Resistance coefficient for a single-joint mitered (sharp) pipe bend per Rennels & Hudson (2012):

K = 0.42 sin(α/2) + 2.56 sin³(α/2)

referenced to the pipe velocity head, valid for deflection angles up to about 150°. A mitered bend has no curvature radius (the pipe simply changes direction at a sharp joint), so it is considerably more lossy than a smooth bend of the same angle (K_smoothBend). Multi-segment miters (two or three joints) have lower loss; ignoring that is common, slightly conservative practice. Validated against Rennels: K_miterBend(150°) = 2.713.

References

Rennels, D. C. & Hudson, H. M. Pipe Flow: A Practical and Comprehensive Guide. John Wiley & Sons (2012).

Interface

function K_miterBend
  extends TRANSFORM.Icons.Function;
  input SI.Angle angle "Bend deflection (turning) angle";
  output Units.NonDim K "Resistance coefficient";
end K_miterBend;