Evolution of channel flow and Darcy's law beyond the critical Reynolds number.

ABSTRACT: For incompressible channel flow, there is a critical state, characterized by a critical Reynolds number Re_c and a critical wavevector m_c along the channel direction, beyond which the channel flow becomes unstable in the linear regime. In this work, we investigate the channel flow beyond the critical state and find the existence of a new fluctuating, quasi-stationary flow that comprises the laminar Poiseuille flow superposed with a counter-flow component, accompanied by vortices and anti-vortices. The net flow rate is reduced by  ~ 15% from the linear, laminar regime. Our study is facilitated by the analytical solution of the linearized, incompressible, three-dimensional (3D) Navier-Stokes (NS) equation in the channel geometry, with the Navier boundary condition, alter

SUBMITTER: Deng X 

PROVIDER: S-EPMC10229703 | biostudies-literature | 2023 May

REPOSITORIES: biostudies-literature