https://doi.org/10.1140/epjp/i2015-15122-5
Regular Article
Mechanical efficiency of peristaltic pumping of a Newtonian fluid between two deformable coaxial tubes with different phases and amplitudes
Laboratory of Mechanics, Department of Physics, Faculty of Sciences Ain Chock, University Hassan II, Maarif, BP 5366, Casablanca, Morocco
* e-mail: rhassan2@yahoo.fr
Received:
1
November
2014
Revised:
16
May
2015
Accepted:
26
May
2015
Published online:
30
June
2015
This article analytically investigates the peristaltic transport of a Newtonian fluid between two deformable coaxial tubes. Both the inner tube (endoscope) and the outer tube have sinusoidal waves travelling down their walls with different amplitudes and phases. This transport is studied under low Reynolds number and long wavelength approximations to obtain the expressions of the axial pressure gradient and the axial velocity profile. The effects of phases difference, amplitude ratio of the inner tube, amplitude ratio of the outer tube and the radius ratio on the pressure gradient, pressure rise, frictional forces, velocity field and on the mechanical efficiency are graphically discussed.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015
