Open AccessThe Fourier-T method to solve the heat transfer problem in combustion chambers of various configurations
Author(s) -
Е. В. Торопов,
Л. Е. Лымбина
Publication year - 2019
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/288/1/012123
Subject(s) - combustion , heat transfer , partial differential equation , thermodynamics , field (mathematics) , mechanics , fourier transform , differential equation , mathematics , materials science , mathematical analysis , chemistry , physics , organic chemistry , pure mathematics
Annotation With the use of laws of conservation of different substances, the transfer equation in the combustion chambers is formulated as a partial differential equation of the second order. The solution of the obtained equation by the Fourier-T method is proposed, which helps to evaluate the influence of various factors on the space-time temperature field of the combustion chamber quickly; it is shown that the generalized Nusselt number mainly affects the solution. The developed technique allows us to estimate the temperature field of the furnace at a certain flow rate of the combustion products at the inlet of the combustion chamber as well as their composition and temperature using the analogy with heat conductivity processes. The conditions for the reliable application of the developed model are determined. Applying the theorem on multiplication of solutions, we may estimate the temperature field in the combustion chambers of various structural configurations which is an extension of a zoned method.