Pressure head loss within a tapered pipe due to friction
Overview
Let 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
But,
Note that is the half angle of the taper.
Or,
Using the continuity equation:
Or,
The head lost over the elemental length is given by:
Thus the head lost over the total length is:
Putting:
Thus the head lost can also be written as:
Last Modified: 23 Nov 11 @ 12:57 Page Rendered: 2022-03-14 17:39:35