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<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 3.2 Final//FR"><!-- Converted with LaTeX2HTML 95.1 (Fri Jan 20 1995) --><!-- by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds --><!-- Modified Simulog 03/97 --><HTML><HEAD><TITLE> Cas axisym閠rique</TITLE><LINK REL=STYLESHEET TYPE="text/css"	HREF="./Modulef.css" TITLE="Modulef CSS"><meta name="description" value=" Cas axisym閠rique"><meta name="keywords" value="Guide4"><meta name="resource-type" value="document"><meta name="distribution" value="global"></HEAD><BODY BGCOLOR="#FFFFFF"><P> <IMG SRC="../icons/smallmod.gif" WIDTH=211 HEIGHT=50 ALIGN=BOTTOM	ALT="Modulef"><A NAME=tex2html882 HREF="node40.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif"	ALT="previous"></A><A NAME=tex2html888 HREF="node38.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif"	ALT="up"></A><A NAME=tex2html890 HREF="node42.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif"	ALT="next"></A><A NAME=tex2html892 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif"	ALT="contents"></A><A NAME=tex2html893 HREF="node50.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/index_motif.gif"	ALT="index"></A><A HREF="../Guide4-18/node41.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM	ALT="[BIG]"></A><A HREF="../Guide4-14/node41.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM	ALT="[Normal]"></A><A HREF="../Guide4-10/node41.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM	ALT="[small]"></A><BR><B> Suiv.: </B> <A NAME=tex2html891 HREF="node42.html"> Donn閑s</A><B>Sup.: </B> <A NAME=tex2html889 HREF="node38.html"> Les 閘閙ents finis thermiques </A><B> Pr閏.: </B> <A NAME=tex2html883 HREF="node40.html">3.2 Thermique bidimensionnelle</A><B><A HREF="node50.html"	>Index</A></B><B><A HREF="node2.html"	>Table des mati鑢es</A></B><HR SIZE=3 WIDTH="75&#37;"><H1><A NAME=SECTION05330000000000000000> Cas axisym閠rique</A></H1><P><H2><A NAME=SECTION05331000000000000000> Mod閘isation en E.D.P.</A></H2><P>Par hypoth鑣es sur la g閛m閠rie du domaine, tout point <b>M(x,y,z)</b> est compl鑤ement d閒inipar les variables <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img347.gif"> avec:  <P><P> <DIV ALIGN=center><IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img581.gif"></DIV> <DIV ALIGN=center><IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img582.gif"></DIV>Les 閝uations r間issant la temp閞ature s'expriment avec ces variables, en effet, en remarquantque:<P><DIV ALIGN=center><IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img583.gif"></DIV><DIV ALIGN=center><IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img584.gif"></DIV>le syst鑝e g閚閞al (i.e. la situation <b>3D</b>) s'閏rit (dans le cas isotrope):<P><P><IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img585.gif"><P>avec <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img358.gif"> fronti鑢e d閐uite paraxisym閠rie de <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img241.gif">, et  <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img586.gif"> lafronti鑢e d閐uite de <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img202.gif"> par axisym閠rie. <P><P><H2><A NAME=SECTION05332000000000000000>3.3.2 Formulation variationnelle</A></H2><P> Plusieurs formulations variationnelles
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