Implementation of the theory of mathematical physics in modeling the process of downy wool combing
In the development of modern agriculture and modern technology, down goat markedly behind the level of equipment of automatic means for the down of goats. As the reason for that serve a set of factors. First, the heterogeneity of service objects. Secondly, the mechanization of this process can cause serious damage to the animal. Thirdly, at down comb-out by mechanical devices the quality of the extracted down fiber has to remain. Therefore it is important to continue researches in this direction and to develop new ways of mechanization of process of comb-out of down at goats. The article deals with a mathematical model of the process of extracting down fiber from the down-wool cover of a goat from the position of mathematical physics in order to provide the most optimal design of a mechanical combing device. Separately taken down fiber is considered as thin thread in which emergence of tension only in longitudinal, but not in the cross direction is possible. Also is accepted that density of a down hair is constant on all his extent. These assumptions and the analysis of character of a deviation of down fiber at comb-out, allow to make mathematical model which represents the solution of a task of Cauchy for the linear differential equation with private derivatives of the second order under the set entry and regional conditions. Such model of process of comb-out is mathematically ideal therefore in further researches it is necessary to analyze more thoroughly entry and regional conditions for the exact description of process of comb-out of down fiber, determination of the most optimum parameters and a design of the mechanical device for comb-out of down at goats.