2024/01/23 by Solène Schropff, Schropff, S, Fabien Petitpas +3
Engineering · #Classical Physics (physics.class-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Heat and Mass Transfer in Porous Media #Particle Dynamics in Fluid Flows
paper · pdf · doi:10.48550/arxiv.2401.15093
openalex created_date 2024/01/23 · openalex publication_date 2024/01/23 · openalex updated_date 2026/07/28
Analytical/quasi-analytical solutions are proposed for a steady, compressible, single-phase flow in a rectilinear duct subjected to heating followed by cooling. The flow is driven by the pressure ratio between an upstream tank and a variable outlet pressure. The article proposes a methodology to determine the full flow behavior, as a function of pressure ratio and heat-flux distribution. Following an analogy done with the study of compressible flows in nozzles, a behavioral classification of non-adiabatic compressible flows is proposed through the definition of critical pressure ratios. It is demonstrated that a critical pressure ratio distinguishes subsonic and supersonic outlet regimes and that there cannot be a steady shock-wave in such configuration. The behavior of this critical pressure ratio is studied for limit cases of heat-flux, delineating physical boundaries. An abacus is also proposed for a given couple of heating and cooling powers, as both values are needed to characterize the flow. Results are studied for parameters such as pressure ratio and outlet heat power. A short validation of a numerical simulation tool is provided, yielding excellent results and very small relative errors.