[Getdp] Electrical conducting fluid with getdp

Christophe Geuzaine geuzaine at acm.caltech.edu
Tue Apr 15 23:42:31 CEST 2003


Almanstoetter, Juergen wrote:
> Hello,
> 
> I would like to calculate the fluid flow in an electrical conducting fluid
> with an applied current between two electrodes. 
> 
> For this the heat transport equation with an additional Joule heating 
> term (sigma E^2, E0 electrical field),
> 
>             dT                              
>  rho Cp  -- = div ( k grad T) + sigma E^2 - rho Cp v.grad T
>             dt
> 
> the Navier-Stokes equation (for the fluid vleocity),
> 
>       dv
> rho  --  + rho v (div v) + grad p -  div (rho v x v)  = rho g
>       dt
> 
> the mass conservation,
> 
> d rho
>  ---    = - div (rho v)
>  dt
> 
> and Ohm's law:
> 
>           I(t)
> E= ----------------------------------
>       Integral( sigma(T) dV)
> 
> have to be solved coupled together. 
> 
> Is there anybody who has already solved this kind of problem with getdp ?
> 
> If not, are there any instructive examples on how to solve the Navier-Stokes equation
> with getdp available ? 
> Such an example would help me a lot on tackling the above problem.
> 

I don't have any.

You may have more luck with my colleague Francois Henrotte from the
University of Leuven <fhenrott at esat.kuleuven.ac.be>. You may also find
other people interested in this problem by searching the mailing list
archive.

Cheers,

Christophe

-- 
Christophe Geuzaine

Tel: (626) 395-4552    http://www.geuz.org
Fax: (626) 578-0124    mailto:geuzaine at acm.caltech.edu