ViewFactorBase

ViewFactorBase objects are used to determine and store view factors $var element = document.getElementById("moose-equation-4fc57e27-d322-4259-bf38-f100b6090e40");katex.render("F_{i,j}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ , which are defined as the fraction of radiation leaving surface $var element = document.getElementById("moose-equation-7eb86928-e35d-4df8-a176-adf8bbb524d5");katex.render("i", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ that is intercepted by surface $var element = document.getElementById("moose-equation-3212fba8-8355-455d-b095-b1ff4b62cff2");katex.render("j", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ .

These objects are used in particular by GrayDiffuseRadiation.

Properties

Note some basic properties of view factors, denoting the surface areas of a surface $var element = document.getElementById("moose-equation-f833f277-e3a8-40f2-a0f8-f3dd08c4c2c6");katex.render("i", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ as $var element = document.getElementById("moose-equation-dacebc60-145b-454d-9263-dfb2a4ddf85b");katex.render("A_i", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ :

The reciprocity relation, valid for all surfaces:
$var element = document.getElementById("moose-equation-471349fc-a937-4cfa-8b2e-b365aa3156a9");katex.render("A_i F_{i,j} = A_j F_{j,i}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$
The summation rule, valid for surfaces forming an enclosure:
$var element = document.getElementById("moose-equation-3c5c47d3-8cb9-4cff-85fc-a26bc89fe6a4");katex.render("\\sum\\limits_j F_{i,j} = 1", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

Properties