Pressure head loss within a tapered pipe due to friction
OverviewLet the velocity and diameter at the sections 1 and 2 be as shown on the diagram. Consider the head lost over a short length which is st a distance from position 1, and let the velocity and diameter associated with this short length be and . The head lost over the element
Note that is the half angle of the taper.
Using the continuity equation:
The head lost over the elemental length is given by:
Thus the head lost over the total length is:
Thus the head lost can also be written as: