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We study clusters in the Brightest Cluster Sample (BCS) which are observed by  Chandra  and are more distant than redshift,  z  &gt; 0.1. We select from this subsample the clusters which have both a short central cooling time and a central temperature drop, and also those with a central radio source. Six of the clusters have clear bubbles near the centre. We calculate the heating by these bubbles and express it as the ratio   r  heat / r  cool = 1.34 ± 0.20 . This result is used to calculate the average size of bubbles expected in all clusters with central radio sources. In three cases, the predicted bubble sizes approximately match the observed radio lobe dimensions.  We combine this cluster sample with the B55 sample studied in earlier work to increase the total sample size and redshift range. This extended sample contains 71 clusters in the redshift range 0 ≤ z ≤ 0.4. The average distance out to which the bubbles offset the X‐ray cooling in the combined sample is at least   r  heat / r  cool = 0.92 ± 0.11 . The distribution of central cooling times for the combined sample shows no clusters with clear bubbles and  t  cool  &gt; 1.2 Gyr. An investigation of the evolution of cluster parameters within the redshift range of the combined samples does not show any clear variation with redshift.

Investigating heating and cooling in the BCS and B55 cluster samples