Separation principles part 2

Image is taken from simerics.com

For concepts and calculation of gravity separation, see part one of separator principles.

To understand another principle of separation of fluids, let's have same question.

What you will do apart from gravity separation to separate both fluids which is gas and liquid from mixture ?

As hint, you can take,

Angular acceleration = square of ( angular velocity)*(radius).....(first equation)

And,

Centrifugal Force = (mass)* (angular acceleration)......(2nd equation).

If you have same force, then, angular acceleration will be inversely proportional to mass....(see 2nd equation).

And square of angular velocity is inversly proportional to radius. (See first equation).

So, More radius, means less angular velocity and it further means higher the mass.

So, in simple language,

Higher the mass, far particle will be from centre of centrifugal motion line.

So, if we apply centrifugal force to our fluid mixture in a vessel or container,

Then heavier particles (of oil) will thrown outside of centre line or wall side of vessel (cone). And lighter gas particles will be collected near centre of cone.

This principle is used in centrifugal separator to separate oil and gas.

By combining both first and second equations, we can write,

Centrifugal force = (mass)*square of(angular velocity)*(radius).

And we know drag force equation (see part one of separation principles)

Drag force, 

F = P(pressure)*A(area)*C(drag coefficient)

Here, P = (1/2)*(Density)*square of (velocity)

Here also we can equate both force equations to get relationship between diameter of particle to be separated with respect to velocity of stream.

See this video of centrifugal force.

(Do not try it anywhere)

 For part three of separation principles click here.

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