Characteristics and generation of elastic turbulence in a three-dimensional parallel plate channel using direct numerical simulation

Zhang Hong-Na¹, Li Feng-Chen¹, Li Xiao-Bin^{1, †,}, Li Dong-Yang¹, Cai Wei-Hua^{1, ‡,}, Yu Bo²

Spectrums of (a) velocity fluctuations and (b) polymers extension in four layers with maximum local velocity gradient at Wi = 30. The inset shows the velocity gradient effect on the spectrums in layer-2. Following the definition of energy spectrum E(k), E_p(k) is defined as follows: , L_i(k) = FFT(l_i) (i = 1,2,3), . Here, is the conjugate of L_i(k).