Peristaltic transport of two immiscible viscous fluids in a circular tube. (English) Zbl 0848.76100

Peristaltic motion of two immiscible viscous incompressible fluids in a circular tube is studied in pumping and copumping ranges under long-wavelength and low-Reynolds-number assumptions. The effect of the peripheral-layer viscosity on the time-averaged flux and the mechanical efficiency is studied. The formation and growth of the trapping zone in the core and the peripheral layer are also explained.


76Z10 Biopropulsion in water and in air
76D08 Lubrication theory
Full Text: DOI


[1] Burns, J. Fluid Mech. 29 pp 731– (1967)
[2] Brasseur, J. Fluid Mech. 174 pp 495– (1987)
[3] Barton, Bull. Math. Biophys. 30 pp 663– (1968)
[4] Takabatake, J. Fluid Mech. 193 pp 267– (1988)
[5] DOI: 10.1016/0021-9290(84)90140-4
[6] Shukla, J. Fluid Mech. 97 pp 225– (1980)
[7] Shapiro, J. Fluid Mech. 37 pp 799– (1969)
[8] Pozrikidis, J. Fluid Mech. 180 pp 515– (1987)
[9] DOI: 10.1016/S0092-8240(76)80001-8
[10] DOI: 10.1016/S0092-8240(74)80016-9
[11] Manton, J. Fluid Mech. 68 pp 467– (1975)
[12] DOI: 10.1146/annurev.fl.03.010171.000305
[13] DOI: 10.1016/0020-7225(73)90029-3
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.