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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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