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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2023 Number 11, Pages 41–58 (Mi ivm9916)

Method and algorithm for calculating isobaric and non-isobaric three-dimensional turbulent jets of reacting gases

S. Khodjiev

Bukhara State University, 11 M. Ikbol str., Bukhara, 200100 Republic of Uzbekistan

Abstract: This paper presents a calculation method and algorithm, as well as numerical results of studying chemically reacting turbulent jets based on three-dimensional parabolic systems of Navier-Stokes equations for multicomponent gas mixtures.
Continuity equations are used to calculate the mass imbalance when solving with constant pressure, and with variable pressures, with the equations of motion and continuity.
Diffusion combustion of a propane-butane mixture flowing from a square-shaped nozzle in a submerged flow of an air oxidizer has been numerically studied. Pressure variability significantly affects the velocity (temperature) profiles in the initial sections of the jet, and when moving away from the nozzle exit, the pressure effect can be considered imperceptible, but the flame length is longer than at constant pressure, but it does not significantly affect the shape of the flame.
The saddle-shaped behavior of the longitudinal velocity in the direction of the major axis is numerically obtained for large initial values of the turbulence kinetic energy of the main jet.
Given method allows the study of non-reacting and reactive turbulent jets flowing from a rectangular nozzle.

Keywords: jet, three-dimensionality, Navier-Stokes, parabolic, model, turbulence, displacements, growth, diffusion combustion, isobaric, non-isobaric, plume, imbalance.

UDC: 532.516

Received: 29.03.2023
Revised: 09.05.2023
Accepted: 29.05.2023

DOI: 10.26907/0021-3446-2023-11-41-58



© Steklov Math. Inst. of RAS, 2024