Lumped circuit approximations for flux in systems governed by the laplace equation: The stoma of zero thickness
✍ Scribed by William F. Pickard
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 593 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0009-2509
No coin nor oath required. For personal study only.
✦ Synopsis
AMract-4 is pointed out that the mass transfer coefficients far two complicated geometries (well source in a plane; disc source over a plane) are well approximated by their standard lumped circuit approximations, although in the disc case this seems not to have been recognized. The lumped circuit method is then shown to work equally well for a tube containing a punctured diaphragm and for a plane with a circular aperture, one side of the plane being nonabsorbing and the other a source. The latter (and previously unsolved) problem, which is that of the thin stoma, is handled by formulating it in terms of coupled dual integral equations which are then treated by Neumann expansion techniques; explicit analytic and numerical details are provided in the hope that this little known-but powerful-method of solution will gain wider currency.