Outputs (2)

The destabilizing effect of boundary slip on Benard convection (2006)
Journal Article
Webber, M. (2006). The destabilizing effect of boundary slip on Benard convection. Mathematical Methods in the Applied Sciences, 29(7), 819-838. https://doi.org/10.1002/mma.711

We investigate the influence of slip boundary conditions on the onset of Bénard convection in an infinite fluid layer. It is shown that the critical Rayleigh number is a decreasing function of the slip length, and therefore boundary slip is seen to h... Read More about The destabilizing effect of boundary slip on Benard convection.

Stability of pressure driven flow in a microchannel (2006)
Journal Article
Webber, M., & Straughan, B. (2006). Stability of pressure driven flow in a microchannel. Rendiconti del Circolo Matematico di Palermo Series 2, 78(2), 343-357

We present the problem of stability of Poiseuille flow in the plane, with slip boundary conditions. We review existing work on the linear theory, and present new results from the nonlinear analysis. For the linear case, the critical Reynolds number i... Read More about Stability of pressure driven flow in a microchannel.