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Analytical relations for droplet breakup in 2D T-channels

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Old   April 20, 2017, 11:53
Default Analytical relations for droplet breakup in 2D T-channels
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Saideep
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Hi guys;

I am trying to understand the flow phenomena within a T-micro channel.

I came across hundreds of research papers on this specific topic (experimental + numerical) because of its wide-spread use in different fields. But very limited papers dealing with analytical relations.

My interest: being completely on the numerical side, I would like to validate the performance of "Volume of Fluid" - to check how accurate is the method to capture break-up at junction points. It is well known VOF can capture these phenomena without additional input. I would like to have a proof for the statement.

Using packages: OpenFOAM, Gerris.

I have run few cases on 2D with same data as mentioned in some papers but I always see a parallel flow. (That is I dont see a droplet formation). I am mostly interested in "squeezing regime" of flow that occurs at low capillary numbers.

My question: I would like to know if anyone has an idea over analytical relations developed for 2D cases (for example considering the balance of surface tension forces and viscous forces at the junction point etc...) to determine the size/ volume of a droplet to be formed?
I am not sure if I dont see breakup because its a curse of dimensionality.

Thanks;
SaiD
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Old   April 20, 2017, 12:12
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Filippo Maria Denaro
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Quote:
Originally Posted by Saideep View Post
Hi guys;

I am trying to understand the flow phenomena within a T-micro channel.

I came across hundreds of research papers on this specific topic (experimental + numerical) because of its wide-spread use in different fields. But very limited papers dealing with analytical relations.

My interest: being completely on the numerical side, I would like to validate the performance of "Volume of Fluid" - to check how accurate is the method to capture break-up at junction points. It is well known VOF can capture these phenomena without additional input. I would like to have a proof for the statement.

Using packages: OpenFOAM, Gerris.

I have run few cases on 2D with same data as mentioned in some papers but I always see a parallel flow. (That is I dont see a droplet formation). I am mostly interested in "squeezing regime" of flow that occurs at low capillary numbers.

My question: I would like to know if anyone has an idea over analytical relations developed for 2D cases (for example considering the balance of surface tension forces and viscous forces at the junction point etc...) to determine the size/ volume of a droplet to be formed?
I am not sure if I dont see breakup because its a curse of dimensionality.

Thanks;
SaiD

I could be wrong by I remember some analytical analysis performed by Minale & Maffettone and published on papers on J. Non-Newtonian Fluid Mechanics
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