Stretching of Polymers in Isotropic Turbulence: A Statistical Closure

Vincenzi, Dario; Jin, Shi; Bodenschatz, Eberhard; Collins, Lance R.

doi:10.1103/PhysRevLett.98.024503

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Stretching of Polymers in Isotropic Turbulence: A Statistical Closure

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Vincenzi, Dario
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Bodenschatz, Eberhard
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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引用

Vincenzi, D., Jin, S., Bodenschatz, E., & Collins, L. R. (2007). Stretching of Polymers in Isotropic Turbulence: A Statistical Closure. Physical Review Letters, 98(2), 024503-1-024503-4. doi:10.1103/PhysRevLett.98.024503.

引用: https://hdl.handle.net/11858/00-001M-0000-0029-1457-B

要旨

We present a new closure for the mean rate of stretching of a dissolved polymer by homogeneous isotropic turbulence. The polymer is modeled by a bead-spring-type model (e.g., Oldroyd B, FENE-P, Giesekus) and the analytical closure is obtained assuming the Lagrangian velocity gradient can be modeled as a Gaussian, white-noise stochastic process. The resulting closure for the mean stretching depends upon the ratio of the correlation time for strain and rotation. Additionally, we derived a second-order expression for circumstances when strain and rotation have a finite correlation time. Finally, the base level closure is shown to reproduce results from direct numerical simulations by simply modifying the coefficients.