The effect of the boundary slip on the stability of shear flow

Abstract

AbstractWe study the linearized stability of shear flow satisfying Navier slip boundary conditions. The Orr‐Sommerfeld equation for the plane Poiseuille flow with Navier slip boundary conditions is solved numerically by the Chebyshev collocation method. Our numerical results show that slip at the boundary increases the critical Reynolds number Rc for instability. The dependence of the this critical Reynolds number on the slip length ls is found to be Rc(ls)‐ Rc(0) ≈ C ls2.