A unified slip boundary condition for flow over a surface

Abstract

Interface between two phases of matter are ubiquitous in nature and technology. Determining the correct velocity condition at an interface is essential for understanding and designing of flows over a surface. We demonstrate that both the widely used no-slip and the Navier and Maxwell slip boundary conditions do not capture the complete physics associated with complex problems, such as spreading of liquids or corner flows. Hence, we present a unified boundary condition that is applicable to a wide-range of flow problems.

11 pages, 14 figure

References in corpus (3)

• Effect of surface roughness on rate-dependent slip in simple fluids
• Velocity slip on curved surfaces
• Analysis of Boundary Slip in a Flow with an Oscillating Wall

Cited by in corpus (1)

• A canonical Hamiltonian formulation of the Navier-Stokes problem