### Abstract

Predictions of the microstructure of complex fluids, such as liquid crystalline polymers or concentrated rigid rod suspensions, are often based on a moment equation for the orientation dyad that requires a closure model for the orientation tetrad. U is a dimensionless measure of the strength of the Maier-Saupe potential and accounts for the excluded volume self-alignment process on the rotary diffusive flux. In the absence of flow and for U > 5, the equilibrium states predicted by the above theory are anisotropic. Although an isotropic microstructure satisfies the steady steady-state moment equation for all values of U, a dynamic analysis of the orientation dyad shows that the isotropic state is stable for U 5.000.

Language | English (US) |
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Title of host publication | AIChE Annual Meeting, Conference Proceedings |

Pages | 10753-10755 |

Number of pages | 3 |

State | Published - 2004 |

Event | 2004 AIChE Annual Meeting - Austin, TX, United States Duration: Nov 7 2004 → Nov 12 2004 |

### Other

Other | 2004 AIChE Annual Meeting |
---|---|

Country | United States |

City | Austin, TX |

Period | 11/7/04 → 11/12/04 |

### Profile

### Keywords

- Closure approximation
- Composites
- Equilibrium states
- Flow induced alignment
- Liquid crystalline polymers
- Microstructure
- Orientation statistics
- Self-alignment
- Simple shear

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*AIChE Annual Meeting, Conference Proceedings*(pp. 10753-10755). [581f]

**Equilibrium microstructure of complex fluids.** / Kim, YoChan; Petty, Charles A.; Bénard, André.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*AIChE Annual Meeting, Conference Proceedings.*, 581f, pp. 10753-10755, 2004 AIChE Annual Meeting, Austin, TX, United States, 11/7/04.

}

TY - GEN

T1 - Equilibrium microstructure of complex fluids

AU - Kim,YoChan

AU - Petty,Charles A.

AU - Bénard,André

PY - 2004

Y1 - 2004

N2 - Predictions of the microstructure of complex fluids, such as liquid crystalline polymers or concentrated rigid rod suspensions, are often based on a moment equation for the orientation dyad that requires a closure model for the orientation tetrad. U is a dimensionless measure of the strength of the Maier-Saupe potential and accounts for the excluded volume self-alignment process on the rotary diffusive flux. In the absence of flow and for U > 5, the equilibrium states predicted by the above theory are anisotropic. Although an isotropic microstructure satisfies the steady steady-state moment equation for all values of U, a dynamic analysis of the orientation dyad shows that the isotropic state is stable for U 5.000.

AB - Predictions of the microstructure of complex fluids, such as liquid crystalline polymers or concentrated rigid rod suspensions, are often based on a moment equation for the orientation dyad that requires a closure model for the orientation tetrad. U is a dimensionless measure of the strength of the Maier-Saupe potential and accounts for the excluded volume self-alignment process on the rotary diffusive flux. In the absence of flow and for U > 5, the equilibrium states predicted by the above theory are anisotropic. Although an isotropic microstructure satisfies the steady steady-state moment equation for all values of U, a dynamic analysis of the orientation dyad shows that the isotropic state is stable for U 5.000.

KW - Closure approximation

KW - Composites

KW - Equilibrium states

KW - Flow induced alignment

KW - Liquid crystalline polymers

KW - Microstructure

KW - Orientation statistics

KW - Self-alignment

KW - Simple shear

UR - http://www.scopus.com/inward/record.url?scp=22644434399&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22644434399&partnerID=8YFLogxK

M3 - Conference contribution

SP - 10753

EP - 10755

BT - AIChE Annual Meeting, Conference Proceedings

ER -