Peristaltic transport due to a sinusoidal wave traveling on the boundary of a tube filled with an incompressible fluid is presented. Solution is obtained under infinite wavelength and zero Reynolds number in a finite length tube which extends the study of Li and Brasseur (1993, “Non-Steady Peristaltic Transport in Finite-Length Tubes,” J. Fluid Mech., 248, pp. 129–151). Boundary conditions are changed to include wall permeability. Analysis of pressure profile is described.

1.
Nicoll
,
P. A.
, and
Webb
,
R. L.
, 1946,
Ann. N.Y. Acad. Sci.
0077-8923,
46
, pp.
697
711
.
2.
Nicoll
,
P. A.
, 1954, “
The Anatomy and Behavior of the Vascual Systems in Neresis Virens and Neresis Limbata
,”
Biological Bulletin
0006-3185,
106
, pp.
69
82
.
3.
Latham
,
T. W.
, 1966, “
Fluid Motions in Peristaltic Pump
,” MS thesis, MIT, Cambridge, MA.
4.
Shapiro
,
A. H.
, 1967, “
Pumping and Retrograde Diffusion in Peristaltic Waves
,”
Proceedings of the Workshop in Ureteral Reflux in Children
, Washington, DC, pp.
109
126
.
5.
Gupta
,
B. B.
, and
Seshadri
,
V.
, 1976, “
Peristaltic Pumping in Non-Uniform Tubes
,”
J. Biomech.
0021-9290,
9
, pp.
105
109
.
6.
Misra
,
J. C.
, and
Pandey
,
S. K.
, 1995, “
Peristaltic Transport in a Tapered Tube
,”
Math. Comput. Modell.
0895-7177,
22
, pp.
137
151
.
7.
Vajravelu
,
K.
,
Sreenadh
,
S.
, and
Ramesh Babu
,
V.
, 2005, “
Peristaltic Transport of Herschel–Bulkley Fluid in an Inclined Tube
,”
Int. J. Non-Linear Mech.
0020-7462,
40
(
1
), pp.
83
90
.
8.
Subba Reddy
,
M. V.
,
Mishra
,
M.
,
Sreenadh
,
S.
, and
Ramachandra Rao
,
A.
, 2005, “
Influence of Lateral Walls on Peristaltic Flow in a Rectangular Duct
,”
ASME J. Fluids Eng.
0098-2202,
127
, pp.
824
827
.
9.
Tang
,
H. T.
, and
Fung
,
Y. C.
, 1975, “
Fluid Movement in a Channel With Permeable Walls Covered by Porous Media: A Model of Alveolar Sheet
,”
ASME J. Appl. Mech.
0021-8936,
97
, pp.
45
50
.
10.
Gopalan
,
N. P.
, 1981, “
Pulsatile Blood Flow in a Rigid Pulmonary Alveolar Sheet With Porous Walls
,”
Bull. Math. Biol.
0092-8240,
43
(
5
), pp.
63
577
.
11.
Chaturani
,
P.
, and
Ranganatha
,
T. R.
, 1993, “
Solute Transfer in Fluid Flow in Permeable Tubes With Application to Flow in Glomerular Capillaries
,”
Acta Mech.
0001-5970,
96
, pp.
139
154
.
12.
Li
,
M.
, and
Brasseur
,
J. B.
, 1993, “
Non-Steady Peristaltic Transport in Finite-Length Tubes
,”
J. Fluid Mech.
0022-1120,
248
, pp.
129
151
.
13.
Eytan
,
O.
, and
Elad
,
D.
, 1999, “
Analysis of Intra-Uterine Fluid Motion Induced by Uterine Contractions
,”
Bull. Math. Biol.
0092-8240,
61
, pp.
221
238
.
14.
Eytan
,
O.
,
Jaffa
,
A. J.
, and
Elad
,
D.
, 2001, “
Peristaltic Flow in a Tapered Channel: Application to Embryo Transport Within the Cavity
,”
Med. Eng. Phys.
1350-4533,
23
, pp.
475
484
.
15.
Saffman
,
P. G.
, 1971, “
On the Boundary Conditions at the Surface of a Porous Medium
,”
Stud. Appl. Math.
0022-2526,
1
(
2
), pp.
93
101
.
You do not currently have access to this content.