The effect of a transition layer between a fluid and a porous medium: shear flow in a channel |
| |
Authors: | D. A. Nield A. V. Kuznetsov |
| |
Affiliation: | (1) Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland, 1142, New Zealand;(2) Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC 27695-7910, USA |
| |
Abstract: | Flow in a three-layer channel is modeled analytically. The channel consists of a transition layer sandwiched between a porous medium and a fluid clear of solid material. Within the transition layer, the reciprocal of the permeability varies linearly across the channel. The Brinkman model is used for the momentum equations for the porous medium layer and the transition layer. The velocity profile is obtained in closed form in terms of Airy, exponential, and polynomial functions. The overall volume flux and boundary friction factors are calculated and compared with values obtained with a two-layer model employing the Beavers–Joseph condition at the interface between a Darcy porous medium and a clear fluid. |
| |
Keywords: | Transition layer Beavers– Joseph condition Shear flow Channel |
本文献已被 SpringerLink 等数据库收录! |
|