On a Computational Algorithm for Modeling Subsonic Reacting Flows in Circular Pipes

Title	On a Computational Algorithm for Modeling Subsonic Reacting Flows in Circular Pipes
Authors	M. S. Mustaikin¹, E. E. Peskova¹ ¹National Research Mordovia State University
Annotation	A mathematical model and a computational algorithm for simulating subsonic reacting flows in circular pipes are presented. The model is based on multicomponent Navier–Stokes equations with pressure splitting. Verification was performed on the problems of a rotating disk and axisymmetric methane pyrolysis. In the computational experiment, injection of a gas mixture through the side wall was simulated; local temperature gradients near the injection holes do not disturb the stability of the main flow, which confirms the applicability of the algorithm for reactors with various reagent inlet configurations.
Keywords	mathematical modeling, Navier–Stokes equations, subsonic flows, multicomponent media, splitting by physical processes, numerical methods.
Citation	Mustaikin M. S., Peskova E. E. ''On a Computational Algorithm for Modeling Subsonic Reacting Flows in Circular Pipes'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 169-172. Available at: https://conf.svmo.ru/files/2026/papers/paper97.pdf. - Date of access: 25.09.2026.