Using a simple model, we study the effects of turbulence on the motion of bubbles produced by AGN jet activities in the core of a galaxy cluster. We focus on turbulence on scales larger than the size of the bubbles. We show that for a bubble pair with an age of ~10 8 yr, the projected angle between the two vectors from the cluster center to the two bubbles should be ≳90° and the ratio of their projected distances from the cluster center should be ≲2.5, if the velocity and scale of the turbulence are ~250 km s -1 and ~20 kpc, respectively. The positions of the bubbles observed in the Perseus cluster suggest that the turbulent velocity is ≳100 km s -1 for the cluster.
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Yutaka Fujita (2005) studied this question.
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