Hydraulic System
August 12, 2018

## DISCHARGE OVER A STEPPED NOTCH

We were discussing the difference
between Notches and Weirs, discharge over a triangular notch or weir, expression
for discharge over a rectangular notch or weir, advantage of triangular notch or weir over
rectangular notch or weir and also the discharge over a trapezoidal notch, in
the subject of fluid mechanics, in our recent posts.

###

Now we will go ahead to find out the
discharge over a stepped notch, in the subject of fluid mechanics, with the
help of this post.

As we can see here, in following figure,
that a stepped notch will be the combination of rectangular notches. Therefore,
discharge through a stepped notch will be considered as the summation of the
discharge through different rectangular notches.

Let us consider that we have a stepped
notch as displayed here in following figure.

H

_{1}, H_{2}and H_{3}= Height of water above the crest of notch 1, notch 2 and notch 3 respectively
L

_{1}, L_{2}and L_{3}= Length of the notch 1, notch 2 and notch 3 respectively
C

_{d}= Coefficient of discharge of all notches
Discharge through the stepped notch = Q

_{1}+ Q_{2}+ Q_{3 }
We have already discussed the discharge through the rectangular notch and therefore we will have following expression
for the discharge through a stepped notch as displayed here.

Now we will go ahead to start a new
topic in the subject of fluid mechanics i.e.

Do you have any suggestions? Please
write in comment box.

### Reference:

Fluid mechanics, By R. K.
Bansal

Image Courtesy: Google