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.
H1, H2 and H3
= Height of water above the crest of notch 1, notch 2 and notch 3 respectively
L1, L2 and L3
= Length of the notch 1, notch 2 and notch 3 respectively
Cd = Coefficient of discharge
of all notches
Discharge through the stepped notch = Q1
+ Q2 + Q3
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
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