What is a polynomial weir?
The polynomial weir introduced by Dr. Raouf E. Baddour
[Baddour 2008] is a weir that has a
versatile geometry that can be designed to achieve a wide range of
head-discharge relationships. The designed weir geometries, which produce
desirable head-discharge relationships, are provided to the clients as
polynomial equations. Weir plates can then be precisely manufactured
according to these equations and installed at the outlet of water infrastructures.
You may contact us by email if interested in receiving a copy of the paper.
Note, most traditional weirs used in practice are also polynomial weirs,
but of low-orders. For example, the rectangular weir is simply a polynomial
weir of order zero (n=0). The triangular and trapezoidal weirs are also
polynomial weirs of order one (n=1), and so on. More complex higher order
weir geometries are, however, required to produce more desirable head-discharge
relationships. Below is a direct comparison of head-discharge relationships
of three weirs that have rectangular (n=0) , triangular (n=1) and higher
order polynomial (n=5) geometries.
Although the three weirs shown below have the same peak discharge
(1 m3/s) at the same maximum head (1 m), PolyWeir 5 releases much higher
flows at low heads when compared to the rectangular and triangular weirs.
This hydraulic behavior has a significant effect on storage volume requirement,
and is the main idea behind our polynomial weir design.