Calculation of work of adhesion and contact angle as dependent on the temperature in melt–solid metal systems
DOI:
https://doi.org/10.15407/hftp16.04.572Keywords:
temperature dependence of wetting angle, work of adhesion, passage of a particle over the potential barrier, reflection of the particle from the potential barrier, de Broglie wave, quantum numberAbstract
The contact and capillary properties of metal melts, processes of solid surface wetting by them, and adhesion of metal to the solid surface are the main characteristics determining the various technological processes during which the liquid metal or alloy comes into contact with the surface of the harder, more refractory substance. When conducting the various metallurgical processes, it is necessary to determine the temperature effect on the nature of wetting of the solid phase by the liquid one. Therefore, calculation of the wetting threshold temperature, i.e. the temperature at which the contact angle decreases sharply because of significant increase in the work of adhesion in nonequilibrium melt–solid metal systems, is of great practical importance. In this regard, the work objective was to calculate the change in the work of adhesion and the contact angle as dependent on the temperature for melt-solid metal systems. Our model was constructed based on the concepts of the Wentzel–Kramers–Brillouin quasiclassical quantum theory. The fundamental elements of the proposed model are the values of quantum numbers, directly depending on the temperature. The temperature at which the quantum number of the system changes from the integer to half-integer determines the wetting threshold, that is, a sharp improvement in the system wetting. Interaction of the melt ions with the substrate atoms is considered indirectly through the formation of a potential barrier. According to the Wentzel–Kramers–Brillouin concepts, passage or reflection of a particle with the reduced mass over the barrier is determined by the integer or half-integer ratio of the de Broglie wave and linear dimensions of the potential barrier. According to the results of calculations, the curves of dependence of the contact angle on the temperature for the Sn–Al, Pb–Al, Sn–Cu and Pb–Cu systems were constructed. Their comparison with the curves of dependence of the contact angle on the temperature of the same systems, constructed experimentally by the other authors, shows that these curves have similar dynamics. Thus, with the use of the presented method it is possible to determine by calculation the work of adhesion and the contact angle in the melt-solid metal systems.
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