Criterial analysis of the process of quenching combustion and detonation waves of unitary fuel in pipelines based on the approaches of multiphase mechanics

The quenching of the combustion and detonation processes of unitary fuel in pipelines due to the adiabatic expansion of the flow during transition to a section of an increased pipe diameter is considered. A number of technological processes are accompanied by the movement of aerosols, the dispersed phase of which are particles of unitary fuel. The operation of such facilities can lead to the development of combustion and detonation waves. The aim of the work is to formulate assumptions and simplifications based on a criterion analysis of a system of equations of mechanics of multiphase media describing the process of quenching combustion waves and detonation of unitary fuel due to pipeline expansion. A physical and mathematical model of such a process is formulated based on the approaches of mechanics of multiphase media and thermophysics. The transition to a dimensionless space was carried out and complexes were identified, which made it possible to formulate a number of physically justified assumptions. It is shown that, considering the symmetry of the process, within the framework of the formulated assumptions, it is possible to describe the process of quenching combustion and detonation waves in a one-dimensional approximation. It has been determined that phase transformations associated with the combustion reactions of unitary fuels make a significant contribution to the propagation of combustion and detonation waves.