The fundamentals of cohesive particulate solids' consolidation and flow properties using a reasonable combination of particle and continuum mechanics by means of micro/macrotransition of the "characteristic particle contact" are explained. The adhesion force models of Tomas (2001a) are used to derive the stationary, instantaneous T-s1 time yield loci and consolidation loci, Next, the uniaxial compressive strength sigma(c) (sigma(1)), effective angle of internal friction phi(e)(sigma(1)), and bulk density rho(b)(sigma(1)) are obtained as powder constitutive functions. The approach has been shown to be effective for the data evaluation of cohesive powder flow properties, like a very cohesive titania nanopowder (surface diameter d(s) = 200 nm, solid density rho(s) = 3870 kg/m(3)) with the fit r(xy)(2) > 0.95. Finally, these models in combination with accurate shear cell test results are used as constitutive functions for computer-aided silo design for reliable flow.