TIME REQUIRED TO EMPTY A TANK THROUGH AN ORIFICE

We were discussing the basic difference between orifice and mouthpiece, classification of orifices and mouthpieces, advantages and disadvantages of orifices, hydraulic coefficients, experimental process to determine the hydraulic coefficients, flow through fully submerged orifice and also flow through partially submerged orifice, in the subject of fluid mechanics, in our recent posts.

Now we will go ahead to find out the time of emptying a tank through an orifice fitted at its bottom, in the subject of fluid mechanics, with the help of this post.

Let us consider we have one tank filled with a liquid up to a height of H₁. Let us consider that one orifice is fixed at the bottom of the tank. We are interested here to determine the time taken in emptying the tank.

Let us consider the following data from above figure.

A = Area of the tank

a = Area of the orifice

H₁= Initial height of the liquid in the tank

H₂= Final height of the liquid in the tank

T = Time taken in emptying the tank from H₁to H₂.

Time taken in emptying the tank from H₁to H₂ will be given by following formula as mentioned here.

Let us determine the time emptying the tank, H₂will be zero.

This is the expression for the time emptying the tank fitted with orifice at its bottom.

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, in the subject of fluid mechanics, in our next post.

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