De Neef MJ, Knabner P, Summ G (1999)
Publication Type: Book chapter / Article in edited volumes
Publication year: 1999
Publisher: Springer
Edited Volumes: High Performance Scientific and Engineering Computing
Series: Lecture Notes in Computational Science and Engineering
City/Town: Berlin, Heidelberg
Book Volume: 8
Pages Range: 39-50
DOI: 10.1007/978-3-642-60155-2_4
In this paper we perform a numerical bifurcation analysis of a one-dimensional problem arising in premixed combustion in porous inert media. The analysis shows that multiple steady solutions may occur, that a minimal mass flow rate is required for steady combustion, and that solutions with complete combustion exist for a large range of mass flow rates. Moreover, we show that a jump discontinuity in porosity and cooling contributes to the stability of the combustion zone. The one-dimensional results are compared with computations for a corresponding two-dimensional problem. The qualitative agreement between the solutions is good along the cooling boundary, and satisfactory along the axis of symmetry. The one-dimensional problem can therefore be used as preparation for a more complex two-dimensional simulation.
APA:
De Neef, M.J., Knabner, P., & Summ, G. (1999). Numerical Bifurcation Analysis of Premixed Combustion in Porous Inert Media. In Hans-Joachim Bungartz, Franz Durst, Christoph Zenger (Eds.), High Performance Scientific and Engineering Computing. (pp. 39-50). Berlin, Heidelberg: Springer.
MLA:
De Neef, Michel J., Peter Knabner, and Gerhard Summ. "Numerical Bifurcation Analysis of Premixed Combustion in Porous Inert Media." High Performance Scientific and Engineering Computing. Ed. Hans-Joachim Bungartz, Franz Durst, Christoph Zenger, Berlin, Heidelberg: Springer, 1999. 39-50.
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