The Fourier-T method to solve the heat transfer problem in combustion chambers of various configurations

International Scientific and Practical Conference: Water Power Energy Forum 2018

Toropov, E.V.^1 ; Lymbina, L.E.^1

South Ural State University, National Research University, Chelyabinsk, Russia^1

关键词: Combustion products;    Developed model;    Fourier;    Heat transfer problems;    Second orders;    Space time;    Structural configurations;    Transfer equation;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/288/1/012123/pdf
DOI  :  10.1088/1755-1315/288/1/012123

来源: IOP

【 摘 要 】

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..