The effects of slip boundary condition on peristaltic transport of incompressible Newtonian viscous fluid in an asymmetric channel is investigated, under the conditions of low Reynolds number and long wavelength. The pumping characteristics, trapping and reflux limits are studied for different values of the dimensionless slip parameterβ.
A modified slip boundary condition is obtained to represent the effects of small roughness-like perturbations to an otherwise-plane fixed wall which is acting as a boundary to steady laminar flow of a viscous fluid. In its simplest form, for low local Reynolds number and small roughness slope, this boundary condition involves a constant apparent backflow at the mean surface or, equivalently, represents a shift of the apparent plane boundary toward the flow domain. Extensions of the theory are also made to include finite local Reynolds number and finite roughness slope.
A kinetic theory-based first-order slip boundary condition for micro/nano-gas flows with heat transfer is presented analytically using the Chapman—Enskog solution of the Boltzmann equation. This slip model is investigated by studying heat transfer for laminar Newtonian fluid in a Poiseuille flow. The problem is solved for two different thermal boundary conditions, namely, constant heat flux and constant wall temperature with different Knudsen numbers. The interactive effects of the Knudsen number on the Nusselt numbers are determined analytically, and for both cases, the temperature profile and the Nusselt number are compared with previous published results.
The Influence of Slippage on Trapping and Reflux Limits with Peristalsis through an Asymmetric Channel