[Doc/Reactor] Improve description for wall heat transfer terms

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Ray Speth 2015-10-14 18:02:03 -04:00
parent f92e4b5f3c
commit dcfcb528b8

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@ -224,7 +224,22 @@ The total rate of heat transfer through all walls is:
\dot{Q} = \sum_w f_w \dot{Q}_w
where `f_w = \pm 1` indicates the facing of the wall.
where `f_w = \pm 1` indicates the facing of the wall (+1 for the reactor on the
left, -1 for the reactor on the right). The heat flux `\dot{Q}_w` through a wall
`k` connecting reactors "left" and "right" is computed as:
.. math::
\dot{Q}_w = U A (T_{\rm left} - T_{\rm right})
+ \epsilon\sigma A (T_{\rm left}^4 - T_{\rm right}^4)
+ A q_0(t)
where `U` is a user-specified heat transfer coefficient (W/m^2-K), `A` is the
wall area (m^2), `\epsilon` is the user-specified emissivity, `\sigma` is the
Stefan-Boltzmann radiation constant, and `q_0(t)` is a user-specified,
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