Stationary-state solutions Dirichlet boundary conditions

Stationary-state solutions Dirichlet boundary conditions 

The simplest boundary conditions for the catalyst pellet are those for which the concentration and temperature at the edges of the slab are specified as being equal to the respective reservoir values. These Dirichlet boundary conditions then give 

We now consider the dependence of the stationary-state solution on the parameter d. To represent a given stationary-state solution we can take the dimensionless temperature excess at the middle of the slab, 0ss(p = 0) or 60,ss-With the above boundary conditions, two different qualitative forms for the stationary-state locus 0O,SS — 5 are possible. If y and a are sufficiently small (generally both significantly less than i), multiplicity is a feature of the system, with ignition on increasing 5 and extinction at low 5. For larger values of a or y, corresponding to weakly exothermic processes or those with low temperature sensitivity, the hysteresis loop becomes unfolded to provide 

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Stationary-state solutions Dirichlet boundary conditions... 

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