Abstract
The spectral dynamics of isotropic decaying turbulence with polymer additives is numerically investigated using a hybrid Eulerian-Lagrangian approach with making use of large-scale parallel computation. We found that the kinetic energy and pressure variance spectra obeyed the power law E(k) ∼ k−α and Ep(k) ∼ k−β in the scale range below the Kolmogorov length lK when the turbulence sufficiently decayed while the Weissenberg number Wi remained greater than unity. The exponents α and β were found to be α = 4.1 − 4.6 and β = 2.8 − 3.2, respectively, and were found to decrease with increasing Wi. We discuss the similarities and differences between the present results and the results of previous experimental and numerical studies for elastic turbulence, which is characterized by Wi ≫ 1 and a Reynolds number below unity.
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