The hydrodynamic behaviour of macromolecules in laminar flow at a small velocity gradient

Gotlib, Yu.Ya.; Svetlov, Yu.Ye.

doi:10.1016/0032-3950(66)90007-4

Cited by 11 publications

(2 citation statements)

References 10 publications

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“…All concentrations were in the zone of high dilutions where the Debye parameter c[η] 15 characterizing the degree of dilution was in the range 0.01 e c[η] e 0.1. 16 These conditions of dilution are allowing reliable extrapolation to zero concentration and estimation also of the concentration parameters. The continuous particle size distribution c(s) of Sedfit 17,18 was used for data analysis.…”

Section: Methodsmentioning

confidence: 99%

Hydrodynamic Analysis of Well-Defined Flexible Linear Macromolecules of Low Molar Mass

et al. 2009

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Samples of poly(styrene−diphenylethylene) copolymers of narrow molar mass distribution were studied by molecular hydrodynamic methods. The values of velocity sedimentation coefficient, frictional ratio, translational diffusion coefficient, and intrinsic viscosity were measured in toluene. It is shown that the method of velocity sedimentation, coupled with the numerical solution of the Lamm equation (Sedfit program), can be considered as an absolute method of molar mass determination. The correlations between the hydrodynamic values and the molar mass were obtained. A new Multi-HYDFIT program was applied to obtain the conformational parameters of poly(styrene−diphenylethylene) copolymer chains unaffected by intrachain excluded volume effects.

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Section: Methodsmentioning

confidence: 99%

Hydrodynamic Analysis of Well-Defined Flexible Linear Macromolecules of Low Molar Mass

et al. 2009

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“…Under preaveraging of the hydrodynamic interactions, eq 2.27 is not only exact, but the offdiagonal components of the friction tensor, f*y, are absent, and eq 2.28 simplifies to a previously known result. 2,9,10 However, it should be noted that the preaveraged result is not always an upper bound to the exact one. For complete neglect of the hydrodynamic interactions, the friction tensor is diagonal in j and k, £¡k = I, and eq 2.28 reduces further to a slightly more general form of the early result of Kramers8 and Debye.11 In Appendix A, using Kirkwood's approximate expressions for the diffusion tensor and segment velocities, we show that eq 2.27 and 2.28 are valid for all rigid bodies of revolution whose translational and rotational motions are not coupled.…”

Section: )mentioning

confidence: 99%

Efforts toward an exact Kirkwood-Riseman theory of the intrinsic viscosity

Wilemski¹,

Tanaka²

1981

Macromolecules

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Monte Carlo approach to the analysis of the rotational diffusion of wormlike chains

1981

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SynopsisA Monte Carlo analysis is presented which establishes a relationship between the rotational diffusion coefficients and the flexibility (persistence length, P ) of short, wormlike chains. The results of this analysis are presented in terms of experimentally observable quantities; namely, the rotational relaxation times for the field-free decay of optical anisotropy. The pertinent theoretical quantity is R , defined as the ratio of the longest rotational relaxation time of a wormlike chain to the transverse rotational relaxation time of a rigid cylinder having the same axial length ( L ) and segmental volume. R , so defined, is essentially independent of the axial ratio of the cylinder for any value of LIP within the range of validity of the present analysis (axial ratio > 20; 0.1 < L / P < 5). It is pointed out that P can be determined with reasonable accuracy even in the absence of a precise knowledge of the local hydrodynamic radius of the chain.

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The hydrodynamic behaviour of macromolecules in laminar flow at a small velocity gradient

Cited by 11 publications

References 10 publications

Hydrodynamic Analysis of Well-Defined Flexible Linear Macromolecules of Low Molar Mass

Hydrodynamic Analysis of Well-Defined Flexible Linear Macromolecules of Low Molar Mass

Efforts toward an exact Kirkwood-Riseman theory of the intrinsic viscosity

Monte Carlo approach to the analysis of the rotational diffusion of wormlike chains

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