Non-linear analysis of the Density-Wave Oscillations and Ledinegg Instability in heated channel at supercritical condition

In this work, various non-linear characteristics of the Density-Wave Oscillations and Ledinegg Instability, in a heated channel under supercritical pressure, are explored. Unlike the existing studies which only present the linear stability, this study delineates the vivid bifurcation characteristics of the system, which are still uncharted. It explores the interaction between the Density Wave Oscillations (DWO) and the Ledinegg instability represented by the Bogdanov-Takens bifurcation. In the obtained stability boundary, three regions display different dynamic behaviors. The first and third region exhibit the characteristics of the DWOs, while the second region shows the Ledinegg instability, which is also confirmed by the negative slope of hydrodynamic characteristic curves. The detailed bifurcation analysis has been carried out in Ledinegg instability region through interaction between internal and external characteristic curve. A comprehensive investigation of the above-said characteristics is also carried-out, in contrast to the conventional identification of stable and unstable operating parameters.