“…In the first method (roller rolling of metal powders) (Generalov, 2002;Wang et al, 2015), the conditions of air outflow from volumes are experimentally investigated depending on the shape of the constituent particles during their granulometric analysis (Vinogradov et al, 1969;Pimenov et al, 2015). In this case, scaling methods are used (Pimenov et al, 2015) within the framework of the Pi-Buckingham theorem (Buckingham, 1915;Annenkov et al, 2005); equilibrium equations (Generalov, 2002;Misic et al, 2010) and the limit state in the linearized representation (Tselikov et al, 1980;Generalov et al, 1984); indicators of changes in the volume of the specified workpiece (Generalov and Chainikov, 1972;Tselikov et al, 1980;Hu et al, 2021). The second method of description (Torner, 1977) does not make it possible to consider the compressibility of the system solid particles -gas when air is removed from the pores.…”