𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Green function for potential flow in a rectangular channel

✍ Scribed by J. N. Newman

Publisher
Springer
Year
1992
Tongue
English
Weight
500 KB
Volume
26
Category
Article
ISSN
0022-0833

No coin nor oath required. For personal study only.

✦ Synopsis

The evaluation of the Green function is considered for the three-dimensional Laplace equation, in the interior of a rectangular channel subject to homogeneous Neumann conditions on the boundaries. To complement the Fourier eigenfunction expansion which is effective in the far-field, a near-field algorithm is developed based on the simpler Green function for a channel of infinite width, using images to account for the channel sides. Examples are given of numerical applications including the added mass of a sphere in a square channel, and the interaction force between a ship and an adjacent canal wall.

πŸ“œ SIMILAR VOLUMES

Electroosmotic flow in a rectangular cha
Electroosmotic flow in a rectangular channel with variable wall zeta-potential: Comparison of numerical simulation with asymptotic theory
✍ Subhra Datta; Sandip Ghosal; Neelesh A. Patankar πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 159 KB πŸ‘ 1 views

## Abstract Electroosmotic flow in a straight micro‐channel of rectangular cross‐section is computed numerically for several situations where the wall zeta‐potential is not constant but has a specified spatial variation. The results of the computation are compared with an earlier published asymptot