Natural Convection and FEM

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3 total messages Started by Harry Miller Tue, 22 Dec 1992 03:50

#813

Author: Harry Miller
Date: Tue, 22 Dec 1992 03:50

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I'm looking for any refernces, tips, examples, etc. of 
natural convective heat transfer using FEM.

I'm doing work on a FEM program to calculate velocity and
temperature profiles along the boundary layer of a flow along
the length of a heated cylinder.

I'm not sure how to treat the continuity equation.  Usually in
fluid flow (convective) problems FEM methods treat the continuity
equation as a parameter and use either Lagrange (sp?) multipliers
or penalty parameters.  Since these both use the gradient of the
pressure, these methods are not useable in natural convection.
I do not want to use stream functions if I do not have to.

Also, I've never done a FEM program in cylindrical coordinates.
Any help or references would be appreciated.

Thanks in advance

Harry E. Miller ----------------- just a jerk lurking on the net
hmiller@osiris.cso.uiuc.edu ----- where to send the hate mail

Re: Natural Convection and FEM

#834

Author: Andy Mell
Date: Wed, 23 Dec 1992 03:14

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In article <Bzn6oH.1HE@news.cso.uiuc.edu> hmiller@osiris.cso.uiuc.edu (Harry Miller) writes:
>I'm looking for any refernces, tips, examples, etc. of 
>natural convective heat transfer using FEM.
>
>I'm doing work on a FEM program to calculate velocity and
>temperature profiles along the boundary layer of a flow along
>the length of a heated cylinder.

Dont bother with FEM, its overcomplicated for problems such as this. I suggest
you take a look at this paper, which deals with exactly what you want.

Pulko, Green, Johns - TLM and thermal diffusion, Int.J.Num.Meth.Eng, vol.24
pp1333-1341, 1987

A
-- 
-------------------------------------------------------------------------------
Andy Mell, Applied Physics Department,  |   andy@santafe.edu
University of Hull, Hull, HU7 6RX       |   amell@nyx.cs.du.edu
England.                                |   torq@gnu.ai.mit.edu

Re: Natural Convection and FEM

#840

Author: W. Donald Rolph
Date: Wed, 23 Dec 1992 14:43

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In article <a1grvn-@SantaFe.edu>, andy@laguna.santafe.edu (Andy Mell) writes:
|> In article <Bzn6oH.1HE@news.cso.uiuc.edu> hmiller@osiris.cso.uiuc.edu (Harry Miller) writes:
|> >I'm looking for any refernces, tips, examples, etc. of 
|> >natural convective heat transfer using FEM.
|> >
|> >I'm doing work on a FEM program to calculate velocity and
|> >temperature profiles along the boundary layer of a flow along
|> >the length of a heated cylinder.
|> 
|> Dont bother with FEM, its overcomplicated for problems such as this. I suggest
|> you take a look at this paper, which deals with exactly what you want.
|> 
|> Pulko, Green, Johns - TLM and thermal diffusion, Int.J.Num.Meth.Eng, vol.24
|> pp1333-1341, 1987
|> 
|> A
|> -- 
|> -------------------------------------------------------------------------------
|> Andy Mell, Applied Physics Department,  |   andy@santafe.edu
|> University of Hull, Hull, HU7 6RX       |   amell@nyx.cs.du.edu
|> England.                                |   torq@gnu.ai.mit.edu


I always get amused by comments such as this.  FEA is merely the establishment of
a set of trial functions which are valid over a specific region in the domain
(rather than the total domain), and which are typically constructed in such a
way that the valid domain need not be rectilinear.  As such, virtually every
numerical method is a subset of FEA (I admit to some issues with Boundary
Element Methods).  I am unsure of the details of your transmission line method,
but the implications are that it is a specific class of FEA.  I would be
interested in more comments (and I will dredge up the journal article!).
-- 

Regards.
 
Don Rolph  a722756@pan.mc.ti.com WD3 MS10-13 (508)-699-1263

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