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Power-law spectra formed by stretching polymers in decaying isotropic turbulence

机译:通过在衰减的各向同性湍流中拉伸聚合物形成的幂律谱

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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 E_p(k) ~ k~(?β) in the scale range below the Kolmogorov length l_K when the turbulence sufficiently decayed while the Weissenberg number W_i 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 W_i 1 and a Reynolds number below unity.
机译:利用混合的欧拉-拉格朗日方法,通过大规模并行计算,对含聚合物添加剂的各向同性衰减湍流的光谱动力学进行了数值研究。发现动能和压力方差谱符合幂律E(k)〜k当湍流充分衰减而魏森伯格数W_i保持大于1时,在Kolmogorov长度l_K以下的尺度范围内,〜(?α)和E_p(k)〜k〜(?β)。发现指数α和β为α= 4.1? 4.6和β= 2.8?我们分别讨论了3.2和随Wi的增加而减小的情况。我们讨论了当前结果与先前的弹性湍流实验和数值研究的结果之间的异同,其特征在于W_i 1并且雷诺数小于1 。

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