Dua, Arti and Cherayil, Binny J (2003) Polymer dynamics in linear mixed flow. In: Journal of Chemical Physics, 119 (11). pp. 56965700.

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Abstract
Recent simulations by Chu et al. [Phys. Rev. E 66, 011915 (2002)] on the behavior of bead–spring and bead–rod models of polymers in linear mixed flows (flows with unequal amounts of extension and rotation) are compared with the predictions of a finitely extensible Rouse model that was used earlier [J. Chem. Phys. 112, 8707 (2000)] to describe the behavior of long flexible molecules of \lambdaphage DNA in simple shear. The model is a generalization of the continuum Rouse model in which the "spring constant" of the bonds connecting near neighbor segments is allowed to become nonlinearly flowdependent through a term involving the initially unknown mean square size of the chain, [R2]. A selfconsistent equation for this quantity is derived by using the flowmodified Hamiltonian to calculate it from its statistical mechanical definition. After solving this equation numerically, the mean fractional extension of the chain x can be obtained as a function of the Weissenberg number Wi and a mixing parameter \alpha. The results compare favorably with data from the simulations of Chu et al., and suggest the existence of a scaling variable Wieff = \sqrt{\alpha} Wi in terms of which separate curves of x versus Wi fall more or less on a single universal curve.
Item Type:  Journal Article 

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Additional Information:  Copyright for this article belongs to American Institute of Physics (AIP). 
Department/Centre:  Division of Chemical Sciences > Inorganic & Physical Chemistry 
Date Deposited:  13 Jan 2005 
Last Modified:  19 Sep 2010 04:17 
URI:  http://eprints.iisc.ernet.in/id/eprint/2640 
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