Abstract
The peristaltic flow of Jeffrey fluid in a microchannel with compliant wall has been investigated. The rheological effects and compressibility of the fluid are given proper attention. Perturbation approach has been employed when the ratio of the wave amplitude to the radius of the pore is small. Expressions of perturbation function, mean axial velocity distribution, mean velocity at the boundaries and critical values are derived. The variations of various interesting parameters are shown and examined very carefully.