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We investigate the dust-obscured star formation properties of the massive,X-ray selected galaxy cluster MACS J1931.8-2634 at $z$=0.352. Usingfar-infrared (FIR) imaging in the range 100-500$\mu$m obtained with the\textit{Herschel} telescope, we extract 31 sources (2$\sigma$) within $r\sim$1Mpc from the brightest cluster galaxy (BCG). Among these sources we identifysix cluster members for which we perform an analysis of their spectral energydistributions (SEDs). We measure total infrared luminosity (L$_{IR}$), starformation rate (SFR) and dust temperature. The BCG, withL$_{IR}$=1.4$\times$10$^{12}$L$_\odot$ is an Ultra Luminous Infrared Galaxy andhosts a type II AGN. We decompose its FIR SED into AGN and starburst componentsand find equal contributions from AGN and starburst. We also recompute the SFRof the BCG finding SFR=150$\pm$15 M$_\odot$yr$^{-1}$. We search for an isobariccooling flow in the cool core using {\sl Chandra} X-ray data, and find noevidence for gas colder than 1.8 keV in the inner 30 kpc, for an upper limit tothe istantaneous mass-deposition rate of 58 M$_\odot$yr$^{-1}$ at 95 % c.l.This value is $3\times$ lower than the SFR in the BCG, suggesting that theon-going SF episode lasts longer than the ICM cooling events.

Starbursting Brightest Cluster Galaxy: a Herschel view of the massive cluster MACS J1931.8-2634