On Heat Release Crises in a Liquid Flow in a Cylinder at Supercritical Pressure

The problem of heat generation crisis in a liquid flow in a cylinder is solved, and a smoothed effect of the type thermal convection locking in a porous medium is revealed. A laminar flow of liquid in a cylinder with a circular cross section is considered taking into account heating of the liquid through the walls. Based on the Euler equations for some heat transfer modes, a cross-section-averaged one-dimensional mathematical model was obtained, including density, pressure, temperature, and longitudinal velocity. For supercritical fluids, the model is closed using the van der Waals equation of state. If we set all the boundary conditions at the beginning of the cylinder (for pressure, temperature, and velocity), then the equations of the model have a solution for any values of heat release, but with sufficiently intense heat release, the temperature begins to increase rapidly, which smoothly reflects the flow locking effect. The mathematical model investigated in the study approximately describes the behavior of the flow of a compressible liquid in a cylinder during heating in supercritical mode and can be used to model heat transfer processes in various pipelines.