We were
discussing the basicÂ difference
between orifice and mouthpiece,Â classification
of orifices and mouthpieces,Â advantages
and disadvantages of orifices,Â hydraulic
coefficients,Â experimental
process to determine the hydraulic coefficients,Â flow
through fully submerged orifice,Â flow
through partially submerged orifice and also time of emptying a tank through an orifice fitted at its bottom in the subject of fluid mechanics in
our recent posts.Â

Now we
will go ahead to find out the method to determine the time of emptying a hemispherical
tank through an orifice at its bottom with the help of this post.Â

Let us
consider we have one hemispherical tank filled with a liquid up to a height of
H

_{1}. Let us consider that one orifice is fixed at the bottom of the hemispherical tank. We are interested here to determine the time taken in emptying the hemispherical tank.Â
Let us
consider the following data from above figure.

R = Radius
of the hemispherical tank

A = Area
of the tank

a = Area
of the orifice

H

_{1}= Initial height of the liquid in the hemispherical tank
H

_{2}= Final height of the liquid in the hemispherical tank
T = Time
taken in emptying the tank from H

_{1Â }to H_{2}.Â
Time taken
in emptying the hemispherical tank from H

_{1Â }to H_{2}Â will be given by following formula as mentioned here.Â
Let us
determine the time emptying the tank, H

_{2Â }will be zero.Â
This is
the expression for the time emptying the hemispherical tank fitted with orifice
at its bottom.Â

Now we will go ahead to find out the method to
determine the time of emptying a circular horizontal tank through an orifice at
its bottom, in the subject of fluid mechanics, in our next post.Â

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

### Reference:

Fluid mechanics, By R. K. Bansal

Image Courtesy: Google

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