ИСТИНА

Engineers in the development of new technology always face the problem of ensuring reliable operation of individual units, parts and the product as a whole. The same tasks are solved by technologists in the development of technological processes, defining the boundaries of their sustainable implementation, and specialists in the operation of equipment for various purposes. Illustrative examples of the destructive effect of loss of stability (products or processes that are interrelated) are the flutter of bridges and self-oscillations of hydroelectric turbines. Problems related to sustainability are relevant for many industries. In addition to engineering problems related to critical phenomena (listed above), there are fundamental problems that also belong to the class of problems in the theory of critical phenomena. One of such problems is the theory of laminar-turbulent transition. In combustion theory, this problem arises from the problem of the transition of laminar combustion to turbulent combustion. To successfully solve the engineering problems of this class, it is necessary, on the one hand, to generalize the formulation of problems related to critical phenomena, on the other hand, a critical analysis of the initial assumptions, laid down in physical and then in mathematical models, is necessary. The generalization presupposes the construction of analogies of physically different phenomena, and the critical analysis, in turn, presupposes a clear formulation of the accepted initial assumptions (postulates or first principles), which are often not explicitly present in the formulation of a specific problem.