@ARTICLE{Angielczyk_Wojciech_Physical_2025,
 author={Angielczyk, Wojciech},
 volume={vol. 46},
 number={No 1},
 pages={141‒154},
 journal={Archives of Thermodynamics},
 howpublished={online},
 year={2025},
 publisher={The Committee of Thermodynamics and Combustion of the Polish Academy of Sciences and The Institute of Fluid-Flow Machinery Polish Academy of Sciences},
 abstract={This work addresses the challenges associated with one-dimensional modelling of steady transonic two-phase flows illustrated through simulations of selected flow cases of the famous Moby Dick experiment. It primarily concentrates on the method for a fast determination of the transonic trajectory. The second proposed approach allows for determining trajectories describing the transonic flow with a normal shock wave. The first method is successfully verified by comparing its results with simulation results obtained from the (widely known and thoroughly verified) Wavefront Algorithm for High-speed Aerodynamics code, utilizing the Delayed Equilibrium Model. The first method mentioned is the author's proposition that is competitive to conven-tional (time-expensive) approaches such as the Newton Critical Point or achieving a steady flow description by asymptotical convergence of the time-dependent model's solutions, and it is a completely new consistent solution method. The second pro-posed method is an adaptation of the Rankine–Hugoniot jump conditions to a two-phase flow described by the Delayed Equi-librium Model. In the case of this method, the presented here analysis and results serve only as a proof of concept. Similar methods have been described before, but the results presented in this article, obtained with the Delayed Equilibrium Model, are unique. Also, a limited but coherent model of thermodynamic properties of a superheated liquid is presented and physically justified. This model was formulated earlier and is often used, but its comprehensive derivation has not been presented before.},
 title={Physical and mathematical problems of 1D modelling of transonic two-phase flow in a convergent-divergent nozzle},
 type={Article},
 URL={http://ochroma.man.poznan.pl/Content/134781/14_AOT-1-2025_Angielczyk_807.pdf},
 doi={10.24425/ather.2024.152017},
 keywords={Transonic trajectory, Steady two-phase flow, Normal shock, Moby Dick experiment, Metastable liquid},
}