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Sunday, 12 August 2018

DISCHARGE OVER A STEPPED NOTCH

We were discussing the difference between Notches and Weirsdischarge over a triangular notch or weirexpression for discharge over a rectangular notch or weiradvantage 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