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Generalized cholesteric permeation flows.

Alejandro D Rey¹

¹Department of Chemical Engineering, McGill University, 3610 University Street, Wong Building, Montreal, Quebec, Canada H3A 2B2. alejandro.rey@mcgill.ca

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|February 28, 2002

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This study derives permeation flow equations for cholesteric liquid crystals, revealing the role of Ericksen elastic stresses. The Darcy flow regime emerges without velocity gradients, applicable to gravity-driven film flows.

Area of Science:

Materials Science
Fluid Dynamics
Soft Matter Physics

Background:

Cholesteric liquid crystals exhibit complex flow behaviors.
Understanding permeation flow is crucial for their applications.
Existing models may not fully capture the nuances of these flows.

Purpose of the Study:

To derive generalized permeation flow equations for cholesteric liquid crystals.
To elucidate the contribution of Ericksen elastic stresses.
To analyze gravity-driven film flow over inclined planes.

Main Methods:

Decoupled formulation of the Leslie-Ericksen equations.
Analysis of Ericksen elastic stresses.
Generalization to gravity-driven flow conditions.

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Main Results:

Permeation flow equations for cholesteric liquid crystals were successfully derived.
The significance of Ericksen elastic stresses in permeation was clarified.
The Darcy flow regime was identified as emerging in the absence of velocity gradients.
The derived equations were applied to analyze free-boundary film flow over an inclined plane.

Conclusions:

The derived equations provide a more comprehensive understanding of cholesteric liquid crystal permeation.
The study highlights the importance of elastic stresses in these complex fluid flows.
The findings are applicable to analyzing phenomena like gravity-driven film flows.