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I am trying to find the required flow rate for stabilization of a bubble (to control the sinking and rising of bubble) in the water tunnel. I found the velocity of sinking bubble in the water (when the flow rate is zero) but I am not sure how to use that to find flow rate of my system to control the sinking and rising of bubble. I would greatly appreciate any help. Thank you.

Here is how I calculated velocity of sinking bubble:

FBD--> W (weight) = D (drag) + B (Buoyancy)

W= γAir * V , V= volume

B= γwater* V

Drag=(1/2)* ρ*U^2* (π/4)*(D^2)*Cd , where ρ= density of Water, U= velocity, D= bubble's diameter and Cd= drag coefficient

Cd (Drag Coefficient)= 24/ Re

Re= ρ*U*D*(1/μ)

U (Velocity) = (SG bubble]-1)*(γwater)*D^2*(1/18)*(1/[μwater)

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# Stabilizing a bubble in a water tunnel

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