In the present investigation we have studied the peristaltic flow of a Carreau fluid in a rectangular duct. The flow is investigated in the wave frame of reference moving with the velocity c away from the fixed frame. The peristaltic wave propagating on the horizontal side walls of a rectangular duct is studied under long wave length and low Reynolds number approximation. The analytical solutions of velocity and pressure gradient have been found under lubrication approach with the help of Homotopy perturbation method. Graphical results are displayed to see the behavior of various emerging parameters of Carreau fluid. The comparison of the present work is also made with the existing literature.

References

1.
Brown
,
T. D.
, and
Hung
,
T. K.
, 1977, “
Computational and Experimental Investigations of Two Dimensional NonLinear Peristaltic Flows
,”
J. Fluid Mech.
,
83
(
2
), pp.
249
272
.
2.
Mitra
,
T. K.
, and
Prasad
,
S. N.
, 1973, “
On the Influence of Wall Properties and Poiseuille Flow in Peristalsis
,”
J. Biomech.
,
6
(
6
), pp.
681
693
.
3.
Latham
,
T. W.
, 1966, “
Fluid Motion in a Peristaltic Pump
,” M. S. Thesis, Massachusetts Institute of Technology, Cambridge, MA.
4.
Nadeem
,
S.
, and
Noreen
,
S.
, 2010, “
Influence of Radially Varying MHD on the Peristaltic Flow in an Annulus with Heat and Mass Transfer
,”
J. Taiwan Institute Chem. Eng.
,
41
(
3
), pp.
286
294
.
5.
Nadeem
,
S.
, and
Noreen
,
S.
, 2010, “
Influence of Heat Transfer on Peristaltic Transport of a Johnson–Segalman Fluid in an Inclined Asymmetric Channel
,”
Commun. Nonlinear Sci. Numer. Simul.
,
15
(
10
), pp.
2860
2877
.
6.
Nadeem
,
S.
, and
Safia
,
A.
, 2010, “
Influence of Inclined Magnetic Field on Peristaltic Flow of a Jeffrey Fluid with Heat and Mass Transfer in an Inclined Symmetric or Asymmetric Channel
,”
Asia-Pac. J. Chem. Eng.
,
7
(
1
), pp.
33
44
.
7.
Shapiro
,
A. H.
,
Jaffrin
,
M. Y.
, and
Weinberg
,
S. L.
, 1969, “
Peristaltic Pumping with Long Wavelengths at Low Reynolds Number
,”
J. Fluid Mech.
,
37
(
4
), pp.
799
825
.
8.
Nadeem
,
S.
, and
Akram
,
S.
, 2010, “
Influence of Heat Transfer and Magnetic Field on a Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel with Partial Slip
,”
Z. Naturforsch A
,
65a
, pp.
483
494
.
9.
Nadeem
,
S.
, and
Akram
,
S.
, 2010, “
Peristaltic Flow of a Williamson Fluid in an Asymmetric Channel
,”
Commun. Nonlinear Sci. Numer. Simul.
,
15
(
7
), pp.
1705
1716
.
10.
Mekheimer
,
Kh. S.
,
Shehawey
,
E. F. El.
, and
Alaw
,
A. M.
, 1998, “
Peristaltic Motion of a Particle Fluid Suspension in a Planar Channel
,”
Int. J. Theor. Phys.
,
37
(
11
), pp.
2895
2920
.
11.
Kothandapani
,
M.
, and
Srinivas
,
S.
, 2008, “
Peristaltic Transport of a Jeffrey Fluid under the Effect of Magnetic Field in an Asymmetric Channel
,”
Int. J. Nonlinear Mech.
,
43
(
9
), pp.
915
924
.
12.
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.
,
127
(
4
), pp.
824
827
.
13.
Tsangaris
,
S.
, and
Vlachakis
,
N. W.
, 2003, “
Exact Solution of the Navier-Stokes Equations for the Fully Developed. Pulsating Flow in a Rectangular Duct with Constant Cross-Sectional Velocity
,”
ASME J. Fluids Eng.
,
125
(
2
), pp.
382
385
.
14.
Nadeem
,
S.
, and
Akram
,
S.
, 2010, “
Peristaltic Flow of a Jeffrey Fluid in a Rectangular Duct
,”
Nonlinear Anal.: Real World Appl.
,
11
(
5
), pp.
4238
4247
.
15.
Hakeem
,
A. E.
,
Naby
,
A. E.
,
El Misery
,
A. E. M.
,
Abd El Kareem
,
M. F.
, 2004, “
Separation in the Flow Through Peristaltic Motion of a Carreau Fluid in Uniform Tube
,”
Physica A
,
343
(
15
), pp.
1
14
.
You do not currently have access to this content.