Measuring the critical capillary number

[Talal]

Is there a way to measure the critical capillary number?

I am running water flooding tests in micro single capillary ducts. I am displacing oil in my experiment, and my channel should be oil wet.

I was able to measure the properties of both fluids, this includes; Kin and Dyn Viscosities, density, interfacial tension and fluid-fluid contact angle.

Is there an equation to measure the CC number or can the value only be obtained through either numerical or experimental processes?

Help is very much appreciated.

 

[jedishrfu]

what field do you work in or are studying?

We’re determining where your post will get the most views and possibly responses.

From the looks of it, it seems to be Fluid Mechanics but we’re not sure.

 

[Talal]

Hello,
Apologies for the late reply. It is Fluid mechanics. I am working on microchannels, and I am a University Researcher.

 

[jedishrfu]

Okay, so we placed in the Mechanical Engineering forum for the widest possible exposure on PF.

I found this brief discussion on flow rate vs viscosity that may be a starting point for your question.

https://socratic.org/questions/how-is-flow-rate-related-to-viscosity

and this more general discussion on fluid flow:

https://courses.lumenlearning.com/suny-osuniversityphysics/chapter/14-5-fluid-dynamics/