ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

DOI 10.15507/2079-6900.23.202103.308–317

Original article

ISSN 2079-6900 (Print)

ISSN 2587-7496 (Online)

MSC2020 76D05, 80A19, 35B40

Mathematical modeling of a swirling jet in applications to low-emission combustion of low-grade fuels

U. J. Mizher, V. N. Kovalnogov, P. A. Velmisov

Ulyanovsk State Technical University (Ulyanovsk, Russian Federation)

Abstract. The search for new solutions in the field of energy, preventing negative impact on the environment, is one of the priority tasks for modern society. Natural gas occupies a stable position in the demand of the UES of Russia for fossil fuel. Biogas is a possible alternative fuel from organic waste. Biogas has an increased content of carbon dioxide, which affects the speed of flame propagation, and a lower content of methane, which reduces its heat of combustion. However, the combined combustion of natural gas and biogas, provided that the mixture of fuel and oxidizer is well mixed, can, on the one hand, reduce the maximum adiabatic temperature in the combustion chamber of power boilers at TPPs, and, on the other, increase the stability of biogas combustion. For the combined combustion of natural gas and biogas in operating power boilers, it is necessary to reconstruct the existing burners. For a high-quality reconstruction of burners capable of providing stable and low-toxic combustion of fuel, it is important to have theoretical data on the combustion effect of combustion of combinations of organic fuels on the temperature distribution in the combustion zone and on its maximum value. In this paper, self-similar solutions of the energy equation for axisymmetric motion of a liquid (gas) in a model of a viscous incompressible medium are obtained. Basing on them, a stationary temperature field in swirling jets is constructed. A set of programs based on the ANSYS Fluent software solver has been developed for modeling and researching of thermal and gas-dynamic processes in the combustion chamber. On the basis of the $k$ - $\epsilon$ (realizable) turbulence model, the combustion process of a swirling fuel-air mixture is simulated. The results of an analytical and numerical study of the temperature and carbon dioxide distribution in the jet are presented.

Key Words: gas dynamics, emissions, temperature, power boiler, natural gas, biogas, combined combustion

For citation: U. J. Mizher, V. N. Kovalnogov, P. A. Velmisov. Mathematical modeling of a swirling jet in applications to low-emission combustion of low-grade fuels. Zhurnal Srednevolzhskogo matematicheskogo obshchestva. 23:3(2021), 308–317. DOI: https://doi.org/10.15507/2079-6900.23.202103.308–317

Submitted: 09.07.2021; Revised: 10.08.2021; Accepted: 25.08.2021

Information about the authors:

Usama J. Mizher, Postgraduate Student, Department of Higher Mathematics, Ulyanovsk State Technical University (32 Severny Venets St., Ulyanovsk 432027, Russia), ORCID: http://orcid.org/0000-0002-8950-9772, usama.mizher@gmail.com

Vladislav N. Kovalnogov, Head of the Department of Thermal Power Engineering, Ulyanovsk State Technical University (32 Severny Venets St., Ulyanovsk 432027, Russia), Dr. Sci. (Engineering), ORCID: https://orcid.org/0000-0002-1907-3790, kvn@ulstu.ru

Peter A. Velmisov, Head of the Department of Higher Mathematics, Federal StateBudgetary Educational Establishment of Higher Education, Ulyanovsk State Technical University (32 Severny Venets St., Ulyanovsk 432027, Russia), Dr. Sci. (Physics and Mathematics), ORCID: https://orcid.org/0000-0001-7825-7015, velmisov@ulstu.ru

All authors have read and approved the final manuscript.

Conflict of interest: The authors declare no conflict of interest.

Creative Commons Attribution 4.0 International License This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License.