Mathematical modeling of motion processes of dispersed particles in a liquid metal flow and localization foreknow at centrifugal casting

Nowadays trends of engineering development involve using of rare and expensive materials. The erosion of natural reserves caused by large-scale technological breakthroughs in the XX century, requires the rational use of the remaining resources and using of resource-saving technologies. The product manufacturing entirely from expensive or low-tech material is impractical due to the fact that the area of the working surface relative to the area of the entire machine part often does not exceed 20-30 %. The volume of material performing the function of a work surface carrier is most rationally made from cheaper and more technologically advanced structural materials that meet the requirements for maintaining the applied load. The solution to this problem is creating machine parts, which have a single system with the absence of any clear phase boundaries and a uniform gradient distribution of reinforcing particles in the metal body. Mathematical modeling of technological processes is one of the most needed procedure to increase production efficiency for reducing costs for eliminating the unsuccessful experiments results, emergency situations and optimization of technological processes. Introduced micro dispersed ceramics of titanium, tungsten, silicon carbides and other elements, which give unique characteristics for the working surfaces by steel casting in terms of resistance to thermal and physical loads, thereby increasing hardness, wear resistance and resistance to elevated temperatures during operation, while more viscous and the elastic iron body for ensuring the resistance to shock and alternating loads. A review of existing mathematical models of the solid dispersed particles motion process in a fluid stream is performed. The systems acting as analogues of the interaction system “steel - tungsten carbide - titanium carbide” are considered.