Mathematical description of the magnetohydrodynamic displacement principle of electrically conductive oily liquids

The magnetohydrodynamic principle is an important interdisciplinary field. In modern conditions of development of the technical design of oil extraction, there is a need for magnetohydrodynamic equipment that allows automating complex processes in oil product extraction technology and increasing their degree of mechanization, as well as saving energy and resources while increasing environmental safety. One of the most important applications of this effect is the pumping of materials, which is currently carried out by conventional low-efficiency pumping units. To solve the problem of increasing the efficiency of the indicated operation using magnetohydrodynamic technology, it is advisable to use modeling, which makes it possible to replace the original with its mathematical counterpart. Due to the complexity of the analyzed operations, the indicated devices consider only substantially idealized model schemes that are not acceptable for studying their statics and dynamics, as well as the synthesis of automatic control complexes, which determines the relevance of constructing a model that corresponds to the physical control mechanism of the studied objects. The article de-scribes in detail the physical principle of operation of MHD devices based on the interaction of an electric current passed through an electrically conductive liquid (in this case, a watered reservoir fluid, which is an electrolyte) and a high-intensity magnetic field perpendicular to it. The Lorentz force resulting from this interaction and leading to fluid displacement is described. The design scheme of the MHD pump is presented and its main advantages (compactness, thermal stability, absence of moving elements, reliability, relatively high efficiency (UAC), short transient time interval, low maintenance, ease of operation at the microlevel, high specific power) and disadvantages (problems of superconducting technologies, edge effects of the magnetic field, bulky dimensions) are considered. magnetic elements, lack of correct analytical models, uneven velocity profile and flow instability).