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.

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

C_d = 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. kinetic energy correction factor and momentum correction factor.

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