Raising of non-stationary border task of filtration of liquid in a porous environment
Abstract
Molchanov V. F., Chernyshov А. V. Raising of non-stationary border task of filtration of liquid in a porous environment // Herald of the DSEA. – 2019. – № 2 (46). – P. 150–154.
In the article conformities to the law of process of filtration of technological liquids are investigational through porous materials. On the finish operations of metal-workingness an important value is acquired by application of lubricating-coolings liquids. In the process of exploitation of liquid continuously and intensively contaminated the particulate matters of metal-workingness. For renewal of primary properties technological liquids are purged from mechanical admixtures. A most wideuse is got by the methods of cleaning of technological liquids by filtration. Use of filtration for cleaning of technological liquids most effectively, because during filtration through the layer of porous materials it is possible to attain complete extraction of particulate matters from liquids. However features of structure of poresing space cause row of the specific phenomena, arising up at motion of liquids in ductings of porous environment. A research purpose is a study and establishments of conformity to the law of process of filtration of technological liquids through porous materials. During filtration of technological liquids through the layer of porous materials the porous environment of filter partition is increased with a change its porosity. A change porosity takes a place due to diminishing of volume of pores of poresing space, because particulate matters together with a liquid get to the pores of ductings of poresing space and hang up in them. The conducted researches allowed to expose and study conformities to the law of process of filtration and set the law of change porosity of porous environment. On the basis of the set law differential equalization which allows at the set initial and scope conditions to formulate raising task of filtration of liquid through the layer of particulate matters of variable porous environment of filter partition is shown out
References
Khudobin L.V, Gulnov E.P. Influence of coolant pollution by grinding waste on burn formatio. Bulletin of mechanical engineering. 1978, 1, p. 67–68. (in Russian).
Polyanskov Yu.V., Karev E.A. On the methodology for the study of effective cleaning of coolant from mechanical impurities during abrasive processing. Proceedings of the Institute. Ulyanovsk Polytechnic Institute. Kuibyshev. 1976, 1, p. 46–54. (in Russian).
Molchanov V.F. Investigation of the filtration of liquids through porous materials (in Russian). Mathematical problems of technical mechanics. Proceedings of the 3nd All-Ukrainian Conference. Dneprodzerzhinsk. 2003, pp. 71–72. (in Ukrainian).
Molchanov V.F. Formulation and solution of the non-stationary problem of filtering liquids in a porous medium. Bulletin of the Kharkov National Automobile and Highway University and the Northeast Scientific Center of the Transport Academy of Ukraine. Kharkov. 2006, issue 33, pp. 112–115. (in Russian).
Molchanov V.F. Formulation of the unsteady problem of fluid filtration in a porous medium. Mathematical modeling. Dniprodzerzhinsk: DDTU. 2014, p. 28–30. (in Russian).
Pontryagin L.S. Ordinary differential equations. Moscow: Nauka. 1977, 664 p. (in Russian).
Scheidegger A. Physics of the flow of fluids through porous media. Moscow. 1960, 137 p. (in Russian).
Molchanov V.F. Investigation of the capacity of filter nets. Collection of scientific papers of the Dneprodzerzhinsk State Technical University (Engineering Sciences). Dneprodzerzhinsk: DDTU. 2012, 3 (20), pp. 61–65. (in Ukrainian).
Zhuzhikov V.A. Filtering. Theory and practice of separation of suspensions. Moscow: Chemistry. 1968, 411 p. (in Russian).
Molchanov V.F. Formulation and solution of the non-stationary boundary value problem of fluid filtration in a porous medium (in Russian). Collection of scientific works of Dnipro State Technical University (technical sciences). Kamianske: DDTU. 2018, 1 (32), pp. 53–58. (in Ukrainian).