Turbulent dynamics of polymer solutions |
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Authors: | Balkovsky Fouxon Lebedev |
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Affiliation: | Physics Department, Weizmann Institute of Science, Rehovot 76100, Israel and School of Mathematics, Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540, USA. |
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Abstract: | We study properties of dilute polymer solutions. The probability density function (PDF) of polymer end-to-end extensions R in turbulent flows is examined. We show that if the value of the Lyapunov exponent lambda is smaller than the inverse molecular relaxation time 1/tau then the PDF has a strong peak at the equilibrium size R0 and a power tail at R>R0. 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 lambdatau>1 the majority of molecules is stretched to the linear size R(op)>R0, which can be much smaller than the maximal length of the molecules due to their back reaction. |
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