This investigation deals with thermal diffusion and diffusion thermo effects on the peristaltic flow of a Sisko fluid in an asymmetric channel. The mode of dissipative heat transfer is taken into account with nonuniform wall temperatures. Long wavelength approximation is utilized. Solutions for the highly nonlinear coupled governing equations involving power law index as an exponent are derived by employing the perturbation technique in a Sisko fluid parameter. Closed form solutions for the stream function, the axial pressure gradient, the skin friction, the temperature, the concentration, and the Nusselt number are presented. Effects of various interesting parameters are graphically interpreted. A comparative study between Newtonian, shear thinning, and shear thickening fluids is also presented. Comparison with published results for the case of viscous fluid is observed in good agreement.

References

1.
Guyton
,
G. C.
,
1986
,
Text Book of Medical Physiology
,
Saunders
,
Philadelphia
.
2.
Mekheimer
,
Kh. S.
,
2004
, “
Peristaltic Flow of Blood Under Effects of a Magnetic Field in a Non-Uniform Channels
,”
Appl. Math. Comput.
,
153
, pp.
763
777
.10.1016/S0096-3003(03)00672-6
3.
de Vries
,
K.
,
Lyons
,
E. A.
,
Ballard
,
G.
,
Levi
,
C. S.
, and
Lindsay
,
D. J.
,
1990
, “
Contractions of the Inner Third of the Myometrium
,”
Am. J. Obstet. Gynecol.
,
162
, pp.
679
682
.10.1016/0002-9378(90)90983-E
4.
Eytan
,
O.
, and
Elad
,
D.
,
1999
, “
Analysis of Intra-Uterine Fluid Motion Induced by Uterine Contractions
,”
Bull. Math. Biol.
,
61
, pp.
221
238
.10.1006/bulm.1998.0069
5.
Shapiro
,
A. H.
,
Jaffrin
,
M. Y.
, and
Weinberg
,
S. L.
,
1969
, “
Peristaltic Pumping With Long Wavelength at Low Reynolds Number
,”
J. Fluid Mech.
,
37
, pp.
799
825
.10.1017/S0022112069000899
6.
Hayat
,
T.
,
Farooq
,
M.
,
Iqbal
,
Z.
, and
Alsaedi
,
A.
,
2012
, “
Mixed Convection Falkner–Skan Flow of a Maxwell Fluid
,”
ASME J. Heat Transfer
,
134
, pp.
1
6
.10.1115/1.4006897
7.
Hayat
,
T.
, and
Mehmood
,
O. U.
,
2011
, “
Slip Effects on MHD Flow of Third Order Fluid in a Planar Channel
,”
Commun. Nonlinear Sci. Numer. Simul.
,
16
, pp.
1363
1377
.10.1016/j.cnsns.2010.06.034
8.
Mehmood
,
O. U.
,
Mustapha
,
N.
, and
Shafie
,
S.
,
2012
, “
Heat Transfer on Peristaltic Flow of Fourth Grade Fluid in Inclined Asymmetric Channel With Partial Slip
,”
Appl. Math. Mech. Engl. Ed.
,
33
(
10
), pp.
1311
1326
.10.1007/s10483-012-1624-6
9.
Srinivas
,
S.
,
Reddy
,
A. S.
, and
Ramamohan
,
T. R.
,
2012
, “
A Study on Thermal-Diffusion and Diffusion-Thermo Effects in a Two-Dimensional Viscous Flow Between Slowly Expanding or Contracting Walls With Weak Permeability
,”
Int. J. Heat Mass Transfer
,
55
, pp.
3008
3020
.10.1016/j.ijheatmasstransfer.2012.01.050
10.
Postelnicu
,
A.
,
2004
, “
Influence of a Magnetic Field on Heat and Mass Transfer by Natural Convection From Vertical Surfaces in Porous Media Considering Soret and Dufour Effects
,”
Int. J. Heat Mass Transfer
,
47
, pp.
1467
1472
.10.1016/j.ijheatmasstransfer.2003.09.017
11.
Al-Odat
,
M. Q.
, and
Al-Ghamdi
,
A.
,
2012
, “
Numerical Investigation of Dufour and Soret Effects on Unsteady MHD Natural Convection Flow Past Vertical Plate Embedded in Non-Darcy Porous Medium
,”
Appl. Math. Mech. Engl. Ed.
,
33
(
2
), pp.
195
210
.10.1007/s10483-012-1543-9
12.
Bég
,
O. A.
,
Bakier
,
A. Y.
, and
Prasad
,
V. R.
,
2009
,
Numerical Study of Free Convection Magnetohydrodynamic Heat and Mass Transfer From a Stretching Surface to a Saturated Porous Medium With Soret and Dufour Effects
,”
Comput. Mater. Sci.
,
46
, pp.
57
65
.10.1016/j.commatsci.2009.02.004
13.
Srinivas
,
S.
,
Muthuraj
,
R.
, and
Sakina
,
J.
,
2012
, “
A Note on the Influence of Heat and Mass Transfer on a Peristaltic Flow of a Viscous Fluid in a Vertical Asymmetric Channel With Wall Slip
,”
Chem. Ind. Chem. Eng. Q.
,
18
(
3
), pp.
483
493
.10.2298/CICEQ111213028S
14.
Hayat
,
T.
,
Shehzad
,
S. A.
, and
Alsaedi
,
A.
,
2012
, “
Soret and Dufour Effects on Magnetohydrodynamic (MHD) Flow of Casson Fluid
,”
Appl. Math. Mech. Engl. Ed.
,
33
(
10
), pp.
1301
1312
.10.1007/s10483-012-1623-6
15.
Eldabe
,
N. T. M.
,
El-Sayed
,
M. F.
,
Ghaly
,
A. Y.
, and
Sayed
,
H. M.
,
2007
, “
Mixed Convective Heat and Mass Transfer in a Non-Newtonian Fluid at a Peristaltic Surface With Temperature-Dependent Viscosity
,”
Arch. Appl. Mech.
,
78
, pp.
599
610
.10.1007/s00419-007-0181-6
16.
Muthuraj
,
R.
, and
Srinivas
,
S.
,
2010
, “
Mixed Convective Heat and Mass Transfer in a Vertical Wavy Channel With Travelling Thermal Waves With Porous Medium
,”
Comput. Math. Appl.
,
59
, pp.
3516
3528
.10.1016/j.camwa.2010.03.045
17.
Nadeem
,
S.
, and
Akbar
,
N. S.
,
2011
, “
Influence of Heat and Mass Transfer on the Peristaltic Flow of a Johnson Segalman Fluid in a Vertical Asymmetric Channel With Induced MHD
,”
J. Taiwan Inst. Chem. Eng.
,
42
, pp.
58
66
.10.1016/j.jtice.2010.03.006
18.
Mehmood
,
O. U.
,
Mustapha
,
N.
, and
Shafie
,
S.
,
2012
, “
Nonlinear Peristaltic Flow of Walter's B Fluid in an Asymmetric Channel With Heat Transfer and Chemical Reactions
,”
Therm. Sci.
(in press).10.2298/TSCI110921096M
19.
Wang
,
Y.
,
Hayat
,
T.
,
Ali
,
N.
, and
Oberlack
,
M.
,
2008
, “
Magnetohydrodynamic Peristaltic Motion of a Sisko Fluid in a Symmetric or Asymmetric Channel
,”
Physica A
,
387
, pp.
347
362
.10.1016/j.physa.2007.10.020
20.
Nadeem
,
S.
, and
Akbar
,
N. S.
,
2011
, “
Peristaltic Flow of Sisko Fluid in a Uniform Inclined Tube
,”
Acta Mech. Sin.
,
26
, pp.
675
683
.10.1007/s10409-010-0356-1
21.
Nadeem
,
S.
,
Akbar
,
N. S.
, and
Vajravelu
,
K.
,
2011
, “
Peristaltic Flow of a Sisko Fluid in an Endoscope: Analytical and Numerical Solutions
,”
Int. J. Comput. Math.
,
5
, pp.
1013
1023
.10.1080/00207160.2010.489640
22.
Mishra
,
M.
, and
Rao
,
A. R.
,
2003
, “
Peristaltic Transport of a Newtonian Fluid in an Asymmetric Channel
,”
Z. Angew. Math. Phys.
,
54
, pp.
532
550
.10.1007/s00033-003-1070-7
23.
Sisko
,
A. W.
,
1958
, “
The Flow of Lubricating Greases
,”
Ind. Eng. Chem.
,
50
, pp.
1789
1792
.10.1021/ie50588a042
24.
Muthuraj
,
R.
, and
Srinivas
,
S.
,
2010
, “
A Note on Heat Transfer to MHD Oscillatory Flow in an Asymmetric Wavy Channel
,”
Int. Commun. Heat Mass Transfer
,
37
, pp.
1255
1260
.10.1016/j.icheatmasstransfer.2010.08.009
You do not currently have access to this content.