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Force to Expel Water from Between Two Plates

Hello,

I was wondering if anyone knew the equation to find the necessary clamping force to expel a saline solution out from between two parallel plates. I would like the most general form of the equation if possible, but will provide more details if necessary.

Thanks!

:)

Helen

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Frank Richter's picture

 

This is a problem discussed in lubrication theory and the deformation of viscoelastic  materials. See Table 1 in my thesis

Upsetting and Viscoelasticity of Vitreous SiO2: Experiments, Interpretation and Simulation

http://opus.kobv.de/tuberlin/volltexte/2006/1179/

Frank

------------------------------------------
Ruhr-University
Bochum
Germany

 

That was incredibly helpful, thank you!

 

Laughing 

 

 

Hello agian,

 

There wouldn't happen to be version of the equation that was not velocity dependant, would there? I would like to be able to determine the force needed to hold two plates together at a specific distance apart when the interstitial space is filled with fluid.

 

Thanks!

 

Helen

 

Frank Richter's picture

 

As in my thesis, the material can be squeezed up to a predefined amount of deformation. Upon stopping the piston displacement the force will relax. This is exactly what I have done in my thesis.

It will be hard to observe this in fluids as the relaxation time is extremely small. You should dive into the literature on lubrication or pester some lubrication nerd.

Note that Reynolds derived this equation in my Table 1 within lubrication. Perhaps you dig something out from his work.

You can also try

R.B. Bird, R.C. Armstrong, O. Hassager: Dynamics of polymeric liquids, 1 Fluid
Mechanics, Wiley, New York, 1977.

Good luck

Frank

 

 

------------------------------------------
Ruhr-University
Bochum
Germany

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