From dcfcb528b822d5adb4ec1679a7780e0afaeb92a5 Mon Sep 17 00:00:00 2001 From: Ray Speth Date: Wed, 14 Oct 2015 18:02:03 -0400 Subject: [PATCH] [Doc/Reactor] Improve description for wall heat transfer terms --- doc/sphinx/reactors.rst | 17 ++++++++++++++++- 1 file changed, 16 insertions(+), 1 deletion(-) diff --git a/doc/sphinx/reactors.rst b/doc/sphinx/reactors.rst index d063669d5..0fa10f144 100644 --- a/doc/sphinx/reactors.rst +++ b/doc/sphinx/reactors.rst @@ -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