Abstract
AbstractBased on the compressible Navier–Stokes equations for reactive flow problems, an eigenvalue problem for the steady and self-sustained premixed combustion wave propagation is developed. The eigenvalue problem is analytically solved and a set of analytic formulae for description of the wave propagation is found out. The analytic formulae are actually the exact solution of the eigenvalue problem in the form of integration, based on which author develops an iterative and numerical algorithm for calculation of the steady and self-sustained premixed combustion wave propagation and its speed. In order to explore the mathematical model and test the computational method developed in this paper, three groups of combustion wave propagation modes are calculated. The computational results show that the non-trivial modes of the combustion wave propagation exist and their distribution is not continuous but discrete.
Highlights
The steady and self-sustained combustion wave plays a fundamental role in the theory of premixed combustion wave propagation
Weiming Liu is a researcher in computational fluid dynamics (CFD)
Such conclusion changes our current understanding to fast combustion processes such that the fast combustion cannot be maintained by its own processes
Summary
The steady and self-sustained combustion wave plays a fundamental role in the theory of premixed combustion wave propagation. His research areas lie in three aspects, turbulence modelling, flows in complex geometries and flows with complex processes such as chemically reacting flows and phase-changing flows. Essentially determined by the chemical reaction rates, is one of the most important elements for us to understand, apply and control combustion processes. Under the conceptual frame of the new theory, a steady and self-sustained fast combustion wave propagation mode exists and its velocity can be obtained, which is consistent with experimental observations. Such conclusion changes our current understanding to fast combustion processes such that the fast combustion cannot be maintained by its own processes. The new theory provides a base to develop the theory for combustion wave accelerations
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