A theoretical investigation of the unsteady flow of a Newtonian fluid through a channel is presented using an alternative boundary condition to the standard no-slip condition, namely the Navier boundary condition, independently proposed over a hundred years ago by both Navier and Maxwell. This boundary condition contains an extra parameter called the slip length, and the most general case of a constant but different slip length on each channel wall is studied. An analytical solution for the velocity distribution through the channel is obtained via a Fourier series, and is used as a benchmark for numerical simulations performed utilizing a finite element analysis modified with a penalty method to implement the slip boundary condition. Comparison between the analytical and numerical solution shows excellent agreement for all combinations of slip lengths considered. doi:10.1017/S1446181112000272
@article{5544,
title = {An analytic and numerical study of unsteady channel flow with slip},
journal = {ANZIAM Journal},
volume = {53},
year = {2013},
doi = {10.21914/anziamj.v53i0.5544},
language = {EN},
url = {http://dml.mathdoc.fr/item/5544}
}
Matthews, Miccal T; Hastie, Karen M. An analytic and numerical study of unsteady channel flow with slip. ANZIAM Journal, Tome 53 (2013) . doi : 10.21914/anziamj.v53i0.5544. http://gdmltest.u-ga.fr/item/5544/