Abstract
An analysis is carried out to investigate the peristaltic pumping of a non-Newtonian Ellis fluid in a planar channel. The coupled nonlinear partial differential equations governing the problem are simplified under the widely used assumption of long wavelength and low Reynolds number. A semi- analytical approach is adopted to obtain the expressions for stream function, longitudinal velocity, pressure gradient and pressure rise per wavelength. The important characteristics of the peristaltic motion are explained graphically for several values of the material parameter of the Ellis fluid.
Highlights
In recent years the peristaltic flow has been widely discussed because of its relevance in industry and physiology
The Ellis model fall in the category generalized Newtonian fluid (GNF) models
The region where Θ > 0 ∆Pλ > 0 is known as peristaltic pumping region. In this region the peristalsis has to work against the pressure rise to propel the fluid
Summary
In recent years the peristaltic flow has been widely discussed because of its relevance in industry and physiology. Some interesting studies on these flows have been carried out by Siddiqui and Schwarz,[2,3] Mekheimer, Mekheimer et al.[4] Mekheimer and Elmaboud[5,6,7,8,9] Hayat et al.[10,11,12,13] Hayat and Ali,[14,15,16] Wang et al.,[17] Ali et al.,[18,19] Srinivas and Kothandapani,[20] Tripathi et al.[21] and Abbasi et al.[22] All the above cited investigations cover the peristaltic flows of different non-Newtonian fluids In some of these articles the magnetic field and heat transfer effects have been discussed.
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