A continuous decanter is a tank that takes a two phase liquid stream as its feed

Question

A continuous decanter is a tank that takes a two phase liquid stream as its feed. The light liquid spills over the top of the tank at z = h while the heavy liquid is taken out at z = hout. The value of hout determines the height of the interface, z = hint, in the tank. The tank and the outlet pipes are open to the atmosphere at pressure Patm. If the density of the light liquid is half that of the heavy liquid, determine hint in terms of h and hout. What are the limits on hout that hold the interface in the tank?

Explanation / Answer

total pressure at bottom of the tank ;
Pa+(h/2)*g*(h-hint) + hint*g*h = P;

Pressure at hout =P-hout*h*g =Pa ;

hint=2*hout-h

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