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We combine Planck HFI data at 857, 545, 353 & 217GHz with data from WISE,Spitzer, IRAS & Herschel to investigate the properties of a flux limited sampleof local star-forming galaxies. A 545GHz flux density limit was chosen so thatthe sample is 80% complete at this frequency, giving a sample of 234 localgalaxies. We investigate the dust emission and star formation properties of thesample via various models & calculate the local dust mass function. Although1-component modified black bodies fit the dust emission longward of 80um verywell (median beta=1.83) the degeneracy between dust temp & beta also means thatthe SEDs are very well described by a dust emissivity index fixed at beta=2 and10<T<25 K. Although a second, warmer dust component is required to fit shorterwavelength data, & contributes ~1/3 of the total infrared emission, its mass isnegligible. No evidence is found for a very cold (6-10 K) dust component. Thetemp of the cold dust component is strongly influenced by the ratio of the starformation rate to the total dust mass. This implies, contrary to what is oftenassumed, that a significant fraction of even the emission from ~20 K dust ispowered by ongoing star formation, whether or not the dust itself is associatedwith star forming clouds or `cirrus'. There is statistical evidence of afree-free contribution to the 217GHz flux densities of <20%. We find a mediandust-to-stellar mass ratio of 0.0046; & that this ratio is anti-correlated withgalaxy mass. There is good correlation between dust mass & atomic gas mass(median M_d/M_HI = 0.022), suggesting that galaxies that have more dust havemore interstellar medium in general. Our derived dust mass function implies amean dust mass density of the local Universe (for dust within galaxies), of7.0+-1.4 x 10^5 M_solar/Mpc, significantly greater than that found in the mostrecent estimate using Herschel data.

Dust and star-formation properties of a complete sample of local galaxies drawn from the Planck Early Release Compact Source Catalogue