In a previous paper, we have studied the asymptotic behavior of a viscous fluid satisfying Navier's law on a periodic rugous boundary of period e and amplitude d e , with d e / e tending to zero. In the critical size, d e ∼e 3/2 , in order to obtain a strong approximation of the velocity and the pre
Average of the Navier's Law on the Rapidly Oscillating Boundary
✍ Scribed by Eduard Marušić-Paloka
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 131 KB
- Volume
- 259
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
We study the flow of Newtonian fluid in a domain with periodically wrinkled Ž . boundary with slip Navier's boundary condition. The goal of this paper is to replace a microscopic boundary condition, posed on the rough boundary, by some macroscopic boundary condition, posed on the middle surface of the oscillating boundary. Depending on the shape of wrinkles and the friction coefficient we get four different effective models.
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