Turbulent Dynamics of Polymer Solutions
Abstract
We study properties of dilute polymer solutions. The probability density function (PDF) of polymer endtoend extensions R in turbulent flows is examined. We show that if the value of the Lyapunov exponent λ is smaller than the inverse molecular relaxation time 1/τ then the PDF has a strong peak at the equilibrium size R_{0} and a power tail at R>>R_{0}. This confirms and extends the results of J. L. Lumley [Symp. Math. 9, 315 (1972)]. There is no essential influence of polymers on the flow in this regime. At λτ>1 the majority of molecules is stretched to the linear size R_{op}>>R_{0}, which can be much smaller than the maximal length of the molecules due to their back reaction.
 Publication:

Physical Review Letters
 Pub Date:
 May 2000
 DOI:
 10.1103/PhysRevLett.84.4765
 arXiv:
 arXiv:chaodyn/9911014
 Bibcode:
 2000PhRvL..84.4765B
 Keywords:

 Nonlinear Sciences  Chaotic Dynamics;
 Condensed Matter;
 Physics  Fluid Dynamics
 EPrint:
 4 pages, revtex. Submitted to Phys. Rev. Lett. Revised after referee reports