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penja69
New member
Username: penja69

Post Number: 1
Registered: 03-2010
Posted on Monday, March 08, 2010 - 07:34 pm:   

Hello everybody, sorry for my bad english.
Iīve got this problem to solve, but there is one boundary condition that I donīt know how to write.
Thereīs a variation of one excercise in the gunnar backstromīs book (def50.pde)
a semicircular rod of cooper with electricity (it appears heating) its inside a concrete body. this concrete body has diferents temperatures (To, T1). Ok thatīs all right, but the problem appears in the left face of the concrete. There is a constant thermal flux... so there is where is donīt know how to continue.
I think iīm very close to the resolution but i have doubts.
So the question is that. How can apply a thermal flux (i.e. Fo) to that face?

Here is a drawing and the excercise

Thank you very much.

Benjamin Drawing

application/octet-stream
Uniforme heated roddd.pde (1.6 k)
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rgnelson
Moderator
Username: rgnelson

Post Number: 1334
Registered: 06-2003
Posted on Monday, March 08, 2010 - 08:38 pm:   

The "Natural(dtemp)" boundary condition will specify the outward normal component of fluxd_x on left and right faces (see Natural in the Help Index). So this is the BC you need to apply.

I should point out that this is a physically unrealizable condition. You would need to have a temperature control and a flux sensor on the left boundary and raise or lower the driving temperature to adapt to changing flux conditions. But FlexPDE will do it if you say so....
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penja69
New member
Username: penja69

Post Number: 2
Registered: 03-2010
Posted on Monday, March 08, 2010 - 10:25 pm:   

Thanks, but you mean that I should put this:

BOUNDARIES
region 'concret'
start 'externo' (-Lx,-Ly)
value(dtemp)=273 load(u)=0 load(v)=0 line to (Lx,-Ly)
value(dtemp)=100 value(u)=0 value(v)=0 line to (Lx,Ly)
value(dtemp)=273 load(u)=0 load(v)=0 line to (-Lx,Ly)
natural(dtemp)=Flux load(u)=0 load(v)=0 line to finish


region 'cooper' k=45 heat=1e6
start (-r0,0) line to(r0,0)
arc (center=0,0) angle=90 to (0,r0)
arc (center=0,0) angle=90 to finish

But how I define Flux? I go to DEFINITIONS and write Flux=Number or Flux= Some function.

Excusme but I'm reasonably new at Flex, and this problem is part of an examination (thatīs why itīs imposible in real life!). Thats why Iīm trying to understand every part of it.
Thanks a lot and I appreciate your answer.
By the way I canīt find the Help index

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