By Anatolii D. Zimon (auth.), Morton Corn (eds.)
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6 The investigations of Akhmatov experimentally confirmed that the second term in Eq. 24) of the Deryagin friction law was due to the forces of adhesion. 7 cm 2 • 22 FUNDAMENTAL CONCEPTS [CH. I the nominal area determined by the dimensions of the sampie. 24a). It must be emphasized once again that Eqs. 24a) are valid in practice if one of the bodies in contact is made of ductile (easily deformed) material [36-38]. When the actual and nominal contact areas differ sharply, the forces of adhesion only increase the actual contact area of the contiguous bodies.
This phenomenon is I reflected for the adhesion of solid surfaces in the empirical De Bruyne rule : the maximum adhesive force occurs for surfaces of identical hydrophilyand the minimum for those with different hydrophilies. This rule (see §§10 and 27) is gene rally valid and of considerable significance in changes of adhesive interaction. However, the theory of London dispersion forces on which the calculations in question are based takes no account of electromagnetic lagging. This is equivalent to the assumption that the rate of propagation of electromagnetic waves is infinitely great and the distances between the molecules infinitely small compared with the absorption wavelengths A which are characteristic of the atoms and molecules of the contiguous bodies.
62) where e and e 1 being the curvatures of the contiguous bodies; 0"12 , is the surface tension at the boundary between phases 1 and 2 (two solids), § 5] 35 DERYAGIN'S THEORY and Cf 1,3 and Cf 2 ,3 those at the boundaries between the solids and phase 3 surrounding them. For the adhesion of two spheres made of the same material Cf 2 , 3; Cf 1, 2 = Cfl , 1) with radii rl and r2' Eq. 62)] of the surfaces in contact. The influence of the properties of the surfaces on the adhesion is taken into account by the free energy f (0); the effect of capillary forces and the particle charges on the adhesive force, however, is not taken into consideration (see Chapter H, § § 12-14 on this point).
Adhesion of Dust and Powder by Anatolii D. Zimon (auth.), Morton Corn (eds.)