Based on the compressible Navierââ?¬â??Stokes equations for reactive flow\nproblems, an eigenvalue problem for the steady and self-sustained premixed\ncombustion wave propagation is developed. The eigenvalue problem is analytically\nsolved and a set of analytic formulae for description of the wave propagation is\nfound out. The analytic formulae are actually the exact solution of the eigenvalue\nproblem in the form of integration, based on which author develops an iterative\nand numerical algorithm for calculation of the steady and self-sustained premixed\ncombustion wave propagation and its speed. In order to explore the mathematical\nmodel and test the computational method developed in this paper, three groups\nof combustion wave propagation modes are calculated. The computational results\nshow that the non-trivial modes of the combustion wave propagation exist and their\ndistribution is not continuous but discrete.
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