[Reactor/Doc] Describe governing equations for surface species

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Ray Speth 2016-10-24 18:00:16 -04:00
parent 859eb6b94a
commit 510f06497c

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@ -241,10 +241,11 @@ time-dependent heat flux (W/m^2). This definition is such that positive `q_0(t)`
implies heat transfer from the "left" reactor to the "right" reactor. Each of
the user-specified terms defaults to 0.
In case of surface reactions, there is a net generation (or
destruction) of homogeneous phase species at the wall. The molar rate of
production for each species `k` on wall `w` is `\dot{s}_{k,w}` (in kmol/s/m\
:sup:`2`). The total (mass) production rate for species `k` on all walls is:
In case of surface reactions, there can be a net generation (or destruction) of
homogeneous (gas) phase species at the wall. The molar rate of production for
each homogeneous phase species `k` on wall `w` is `\dot{s}_{k,w}` (in
kmol/s/m^2). The total (mass) production rate for homogeneous phase species `k`
on all walls is:
.. math::
@ -258,6 +259,17 @@ each wall. The net mass flux from all walls is then:
\dot{m}_{wall} = \sum_k \dot{m}_{k,wall}
For each surface species `i`, the rate of change of the site fraction
`\theta_{i,w}` on each wall `w` is integrated with time:
.. math::
\frac{d\theta_{i,w}}{dt} = \frac{\dot{s}_{i,w} n_i}{\Gamma_w}
where `\Gamma_w` is the total surface site density on wall `w` and `n_i` is the
number of surface sites occupied by a molecule of species `i` (sometimes
referred to within Cantera as the molecule's "size").
Reactor Networks and Devices
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