By Anatolii D. Zimon (auth.)
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Extra resources for Adhesion of Dust and Powder
16), dyn . . . . . ll), ergs . . . . . 17), dyn . . . . . 15 . 23 . 10-2 From these data it will be seen that the energy and force of molecular interaction depend greatly on the magnitude of the gap (x = Hid) separating the contiguous bodies. The energy and force of interaction are greater for a sphere and a plane than for two spheres. This is because of the greater distance between the two bodies as a result of the curvature of the spheres. 14) it follows that the power of H (the gap width) is greater by unity in the expression for the force than in the expression for the energy.
K. Then, the energy of interaction of a molecule of the surface with molecules of the particle at a distance of a, 2a, 3a, ... , ka will be E = - [Usn/en - m)] (I + 1/2m + 1/3m + ... 28) From Eq. (II. 27) it follows that the energy of interaction drops off sharply with increasing distance between the molecules of the condensed system and reaches a maximum at H = a when the gap between the condensed systems is of the same order as the distance between molecules and atoms of these systems. The number of molecules and atoms N of condensed systems participating in adhesive interaction is determined by the geometry of the contiguous bodies.
Is the coefficient of friction; Fl is the force of adhesion of the powder layer, dyn. Then the intercepts of the lines 1,2, and 3 on the vertical axis (see Fig. I. 7) will, according to Eq. 55), be equal to the magnitudes of the forces of adhesion of the powder layer Fl. When Fn» Fo , as we can see from Eq. 51), the two-term law becomes Amontons' law. , Fn (for microscopic particles this is difficult to accomplish since the adherent particle is acted upon only by its actual weight), or by reducing or eliminating the force of adhesion.