Investigating AGN heating in a sample of nearby clusters

We analyse those objects in the Brightest 55 sample of clusters of galaxies which have a short central cooling time and a central temperature drop. Such clusters are likely to require some form of heating. Where clear radio bubbles are observed in these clusters, their energy injection is compared to the X-ray cooling rate. Of the 20 clusters requiring heating, at least 14 have clear bubbles, implying a duty cycle for the bubbling activity of at least 70 per cent. The average distance out to which the bubbles can offset the X-ray cooling, r heat , is given by r heat /r cool = 0.86 ± 0.11 where r cool is defined as the radius as which the radiative cooling time is 3 Gyr. 10 out of 16 clusters have r hcat /r cool ? 1, but there is a large range in values. The clusters which require heating but show no clear bubbles were combined with those clusters which have a radio core to form a second subsample. Using r heat = 0.86r cool we calculate the size of an average bubble expected in these clusters. In five cases (3C129.1, A2063, A2204, A3112 and A3391) the radio morphology is bi-lobed and its extent similar to the expected bubble sizes. A comparison between the actual bubble size and the maximum expected if they were to offset the X-ray cooling exactly, R max , shows a peak at R bubble ∼ 0.7R max with a tail extending to larger R bubble /R max . The offset from the expected value of R bubble ∼ R max may indicate the presence of a non-thermal component in the innermost intracluster medium of most clusters, with a pressure comparable to the thermal pressure.