Re: Density functional theory in hydrodynamics

From: DFT (www_valera_at_yahoo.com)
Date: 07/20/04 

Date: 20 Jul 2004 01:19:00 -0700

Andrew Resnick <andy.resnick@NOSPAM.grc.nasaDOTgov> wrote in message news:<20040715125803769-0400@newsread.grc.nasa.gov>...
> In <99d8770e.0407150507.30796580@posting.google.com> DFT wrote:
> > www.densfunc.com
> >
> > Density functional theory,
> > describes the multicomponent multiphase
> > mixture continuously without density
> > jumps at interfacial surfaces.
> > This is achieved by the introduction into the
> > Helmholz energy, or into the entropy, square component
> > density gradient terms. As a result the hydrodynamics
> > of multiphase mixtures is described in a unified way
> > meaning the governing system of equations is the same
> > at any point in space.
>
> Interesting-I was unable to retrieve the Journal articles. How do you
> handle the jump conditions across a material interface?
>
> How do you handle Marangoni flow?

Dear Andrew,

these are the answers to your questions.

Question 1. How do you handle the jump conditions across a material
interface?

In density functional theory there are no jumps across interface
between two phases. The transition region and the flow inside it are
continuous. The capillary pressure jump is the result of the complex
behavior of the static stress tensor in the mixture; this tensor
provides for the tension along the interface inside the transition
region.

Question 2. How do you handle Marangoni flow?

In density functional theory the interfacial surface effects are
determined by coefficients at the square gradient terms in Helmholz
free energy functionals. The Marangoni flow is related to the specific
dependence of these coefficients on the composition of the mixture

Concerning the papers. You may send us your post address and we shall
send you reprints.

Regards,

Density Functional Team

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