Effects of curvature and inertia on the peristaltic transport in a two-fluid system

Peristaltic transport of multilayered power-law fluids with distinct viscosities: A mathematical model for intestinal flows

“…The analysis of flow characteristics disclosed that a thinner peripheral layer enhances the flow rate which reduces with increasing yield stress. Usha and Rao (2000) Contents lists available at ScienceDirect investigated effects of curvature and inertia on peristaltic transport of two-fluid-system. Mishra and Rao (2005) analysed effects of a porous peripheral layer on peristaltic transport and reported that pumping decreases with the Darcy number.…”

Peristaltic transport in a channel with a porous peripheral layer: model of a flow in gastrointestinal tract

“…shear-stress jump constant f ratio of amplitude of the wave to the half mean width of the channel r ratio of density of peripheral layer to the core layer m the ratio of viscosity of peripheral layer to the core layer h; h 1 non-dimensional peristaltic wave form and the interface wave form d ratio of half mean width of the channel to the wavelength DP dimensionless pressure drop across the wavelength % Q dimensionless time averaged flux in the laboratory frame g the initial value of the interface the deformed interface separating the core and the peripheral region is denoted by Y ¼ H 1 ðX À ctÞ: Under the assumptions that the tube length is an integral multiple of the wavelength and the pressure difference across the ends of the channel is constant (Shapiro et al, 1969), and an additional condition of periodicity of the interface with the same period as the peristaltic wave (Usha and Ramachandra Rao, 2000), the flow becomes steady in a wave frame of reference ðx; yÞ moving with speed c in the direction of the wave propagation. The wave frame is connected to the fixed frame by…”

Peristaltic Transport of a Couple Stress Fluid: Some Applications to Hemodynamics

“…Much of the early literature of theoretical investigations, arranged according to the geometry, the type of fluids, the Reynolds number, wave amplitude, wavelength and the wave shape, along with an account of experimental studies on peristaltic transport have been reviewed by Srivastava and Srivastava [1]. Some of the important theoretical studies on peristalsis have been discussed by Eytan et al [2], Jimenez-Lozano et al [3], Misra et al [4,5,6,7,8,9,10,11], Maiti and Misra [12], Usha and Rao [13], Mishra and Rao [14], Rao and Mishra [15], Park et al [16] as well as by Akbar and Nadeem [17]. A few of these studies have been carried out by using the lubrication theory by neglecting the fluid inertia and wall curvature without any restriction of the wave amplitude.…”