|Source:||K. Meerbergen and D. Roose, Katholieke Universiteit Leuven, Belgium|
|Discipline:||Computational fluid dynamics|
The conservation of reactant and energy in a homogeneous tube of length L in dimensionless form is modeled by
where y and T represent concentration and temperature and denotes the spatial coordinate. The boundary conditions are , , and . Central differences are used to discretize in space. For , the equations can be written as . The parameters in the differential equation are set to Pem = Peh = 5, B = 0.5, gamma = 25, beta = 3.5 and D = 0.2662. One seeks the rightmost eigenvalues of the Jacobian matrix . A is a banded matrix with bandwidth 5.
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Last change in this page: Wed Sep 22 13:37:28 US/Eastern 2004 [Comments: ]