Non-isothermal Poiseuille flow of a liquid crystalline material 2 : tumbling nematic

W. Potze; I.E.J. Heynderickx

doi:10.1016/0377-0257(95)01366-4

Non-isothermal Poiseuille flow of a liquid crystalline material 2 : tumbling nematic

W. Potze, I.E.J. Heynderickx

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Abstract

The steady plane Poiseuille flow of a liquid crystalline material is studied using the Leslie-Ericksen continuum theory. The mean molecular orientation is assumed to be confined to the plane of shear. In the first part, the flow of a flow-aligning nematic was investigated; in this second part that of a tumbling nematic is studied. In the case of an isothermal plane Poiseuille flow it is shown numerically that multiple solutions of the flow equations exist for a prescribed pressure gradient. The resulting orientation and velocity profiles are not necessarily symmetric with respect to the midplane of the channel. A temperature difference across the channel causes the flow to become strongly asymmetric and also in this case the solution of the flow equations is not unique for a prescribed pressure gradient. © 1995.

Original language	English
Pages (from-to)	173-190
Number of pages	18
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	59
Issue number	2-3
DOIs	https://doi.org/10.1016/0377-0257(95)01366-4
Publication status	Published - 1995

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Potze, W., & Heynderickx, I. E. J. (1995). Non-isothermal Poiseuille flow of a liquid crystalline material 2 : tumbling nematic. Journal of Non-Newtonian Fluid Mechanics, 59(2-3), 173-190. https://doi.org/10.1016/0377-0257(95)01366-4

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AB - The steady plane Poiseuille flow of a liquid crystalline material is studied using the Leslie-Ericksen continuum theory. The mean molecular orientation is assumed to be confined to the plane of shear. In the first part, the flow of a flow-aligning nematic was investigated; in this second part that of a tumbling nematic is studied. In the case of an isothermal plane Poiseuille flow it is shown numerically that multiple solutions of the flow equations exist for a prescribed pressure gradient. The resulting orientation and velocity profiles are not necessarily symmetric with respect to the midplane of the channel. A temperature difference across the channel causes the flow to become strongly asymmetric and also in this case the solution of the flow equations is not unique for a prescribed pressure gradient. © 1995.

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