Kinetic theory for flows of nonhomogeneous rodlike liquid crystalline polymers with a nonlocal intermolecular potential | |
Wang, Q ; E, WN ; Lu, C ; Zhang, PQ | |
2002 | |
关键词 | CONCENTRATION FLUCTUATION STIFF POLYMERS |
英文摘要 | The Doi kinetic theory for flows of homogeneous, rodlike liquid crystalline polymers (LCPs) is extended to model flows of nonhomogeneous, rodlike LCPs through a nonlocal (Ion-range) intermolecular potential. The theory features (i) a nonlocal, anisotropic, effective intermolecular potential in an integral form that is consistent with the chemical potential, (ii) short-range elasticity as well as long-range isotropic and anisotropic elasticity, (iii) a closed-form stress expression accounting for the nonlocal molecular interaction. and (iv) an extra elastic body force exclusively associated with the integral form of the intermolecular potential. With the effective intermolecular potential, the theory is proven to be well posed in that it warrants a positive entropy production and thereby the second law of thermodynamics. Approximate theories are obtained by gradient expansions of the Dumber density function in the free energy density.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000176552300052&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Fluids & Plasmas; Physics, Mathematical; SCI(E); EI; 13; ARTICLE; 5; 051504/1-051504/7; 65 |
语种 | 英语 |
出处 | EI ; SCI |
出版者 | physical review e |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/388318] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Wang, Q,E, WN,Lu, C,et al. Kinetic theory for flows of nonhomogeneous rodlike liquid crystalline polymers with a nonlocal intermolecular potential. 2002-01-01. |
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