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 |
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| Pages (from-to) | 173-190 |
| Number of pages | 18 |
| Journal | Journal of Non-Newtonian Fluid Mechanics |
| Volume | 59 |
| Issue number | 2-3 |
| DOIs | |
| Publication status | Published - 1995 |