A Simple Measurement of Turbulence in Cores of Galaxy Clusters

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 the turbulence with scales larger then the size of the bubbles. We show that for a bubble pair with an age of ∼ 10 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 and ∼ 20 kpc, respectively. The positions of the bubbles observed in the Perseus cluster suggest that the turbulent velocity is & 100 km s for the cluster. Subject headings: cooling flows — galaxies: clusters: general — galaxies: active — galaxies: clusters — turbulence