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The convection-diffusion equation with periodic boundary conditions

โœ Scribed by J.D. Logan; V. Zlotnik

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
376 KB
Volume
8
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

Solutions of the convection-diffusion equation with decay are obtained for periodic boundary conditions on a semi-infinite domain. The boundary conditions take the form of a periodic concentration or a periodic flux, and a transformation is obtained that relates the solutions of the two, pure boundary value problems. Solution representations, which do not seem to appear in the literature, are obtained. Explicit, simple forms are derived when the boundary condition consists of a single harmonic, and it is determined how the phase shift depends upon the diffusion, convection, and decay factors, as well as frequency.

๐Ÿ“œ SIMILAR VOLUMES

On boundary conditions to the diffusion
On boundary conditions to the diffusion equation
โœ A.A. Lushnikov; V.A. Zagainov; A.G. Sutugin ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 216 KB

The boundary conditions to the diffusion eqti3tion are obtained in the case of a diffusing particle which, in a singIe collision, may either recoil from or stick to the boundary wall with a priori known probabilities q andp. It is shown that the valuep may be determined from diffusion penetration me