将下面一段进行学术翻译：图11给出了不同循环通量下两种密度颗粒在不同分解尺度的小波能量分布情况。与风速的影响相反随着循环通量的增加两种物料的能量份额在微观尺度和介观尺度上增加而在宏观尺度上减小。这是由于随着循环通量增加扩径段内的颗粒浓度升高颗粒间以及颗粒与床壁之间的相互作用得到增强同时更多颗粒由离散的颗粒运动向颗粒团聚体运动转变；而在宏观尺度上随着扩径段内存料量增加气相湍动由于能量耗散而减弱导致固

Figure 11 shows the wavelet energy distribution of two types of density particles at different decomposition scales under different circulation fluxes. In contrast to the effect of wind speed, the energy share of both materials increases at the micro and meso scales while decreasing at the macro scale with the increase of circulation flux. This is due to the fact that as the circulation flux increases, the particle concentration in the expansion section increases, and the interaction between particles and between particles and the bed wall strengthens. At the same time, more particles transition from discrete particle motion to particle agglomeration motion. At the macro scale, as the amount of material in the expansion section increases, the turbulence of the gas phase weakens due to energy dissipation, resulting in a lower share of macroscopic solid-phase motion energy. Furthermore, from the perspective of changes in particle concentration in the riser, the effects of wind speed and circulation flux on the wavelet energy distribution are consistent. In terms of radial position, the influence of circulation flux on energy distribution is greater in the edge wall and transition regions than in the central region for both the meso and macro scales. As the particle concentration is highest in the edge wall region and the energy share at the micro scale is the lowest, the influence of circulation flux on the micro scale energy share is more prominent in the transition and central regions.

Comparing Figures 11a and 11b, it can be found that although the energy share of the two types of particles is different at the micro scale, their differences with the change of circulation flux are similar. At the meso and macro scales, the energy share of glass beads is more affected by the circulation flux in the edge wall and transition regions compared to FCC particles, while the difference in the central region is smaller. This indicates that the increase of circulation flux has a greater impact on the fluidization movement of glass beads in the expansion section, and the comparison of macroscopic energy shares confirms that the structure of the expansion section has a greater impact on the flow of glass bead particles than FCC particles.