A numerical simulation is carried out to make investigation of bubbles interactions when injected in Taylor–Couette system. This process can affect the flow patterns, especially when it is combined with inner cylinder cross-section oscillations. The included phase is modeled by the Lagrangian approach. The flow regime range is considered until the onset of the wavy Taylor vortex flow (low regime). We attempt to characterize bubbles dispersion effects on the drag force near the inner-cylinder while it is executing radial sinusoidal deformations. It is assumed that the obtained configurations of air-bubbles accumulations are compared for validation with experimental and numerical studies from the literature. The bubbles have uniform spherical shape with a diameter D_b = 0.06d, where d is the system gap width. The inner cylinder oscillation is imposed using a sinusoidal law with a fixed deforming frequency and different amplitude ratios of the initial radius R₁. Overall, without reaching a fully developed regime, the obtained results for a low Taylor number showed that the drag reduction ratio could be decreased when the inner cylinder is deformed.

进行了数值模拟，以研究在Taylor-Couette系统中注入时气泡之间的相互作用。此过程可能会影响流型，特别是当它与内筒横截面振荡组合在一起时。包含的阶段是通过拉格朗日方法建模的。直到波浪状泰勒涡流开始（低态）之前，才考虑流态范围。我们试图刻画当内圆柱执行径向正弦形变时，气泡分散对内圆柱附近的阻力的影响。假定将获得的气泡聚集物的构型与文献中的实验和数值研究进行比较，以进行验证。气泡具有均匀的球形形状，直径D _b  = 0.06 d，其中d是系统间隙宽度。使用具有固定变形频率和初始半径R _1的不同振幅比的正弦定律施加内圆柱体振动。总体而言，在未达到充分发展的状态的情况下，获得的低泰勒数结果表明，当内圆柱变形时，减阻比可能会降低。