1,720,992 research outputs found

    Construction of approximate inertial manifold by decimation of collocation equations of distributed parameter systems

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    A collocation method is adopted as a numerical framework to develop approximate inertial manifolds (AIMs) in the case of partial differential problems (e.g. reaction/diffusion models) containing non-polynomial nonlinearities. The spatial discretization, based on the collocation approach, is the starting point for the alternative construction of AIMs by means of a renormalization/decimation approach naturally derived from the incremental unknown method developed by Temam in a finite difference framework. (C) 2002 Elsevier Science Ltd. All rights reserved

    Nonlinear dynamics of a self-igniting reaction-diffusion system

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    The dynamics is characterized of the self-ignition in a reaction-diffusion system by employing the direct simulation of a PDE-based model, and a continuation approach. This approach permits to analyze and accurately describe a period-doubling cascade, and to consider the problem of the detn. of different routes to chaos. Multiplicity of dynamic steady states is obsd., with coexistence of torus doubling sequences and of period-adding bifurcation sequences

    Coal-dust Explosions In A Spherical Bomb

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    Results of coal dust explosion experiments obtained by means of the Bartknecht-Siwek 20 litre sphere are presented and discussed. Several coal dusts have been tested at ambient conditions. The oxygen mass fraction and the initial pressure have been varied to test their influence. The data collected lead to an extension of the hazard limits for coal dusts with respect to data in the current literature. The maximum explosion overpressure depends linearly on the partial pressure of atmospheric oxygen. The 'optimum' dust concentration depends linearly on the oxygen concentration in the suspending atmosphere. This has led to a useful non-dimensional representation of the results: in the new variables, maximum explosion overpressure data for a coal dust at various values of the initial oxygen partial pressure are correlated by a single curve for all tests in which most of the oxygen is consumed. Differences in the maximum explosion overpressures exhibited by different coals could not be related to chemical parameters due to the prevailing effect of non-adiabatic explosions in this apparatus at such low rates of pressure rise. The maximum rate of pressure rise has been found generally to increase with the standard volatile matter content and with the hydrogen content in the coal
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