The effects of wall properties on the peristaltic flow of an incompressible pseudoplastic fluid in a curved channel are investigated. The relevant equations are modeled. Long wavelength and low Reynolds number approximations are adopted. The stream function and axial velocity are derived. The variations of the embedding parameters into the problem are carefully discussed. It is noted that the velocity profiles are not symmetric about the central line of the curved channel.

References

References
1.
Latham
,
T. W.
,
1966
, “
Fluid Motion in a Peristaltic Pump
,” M.S. thesis,
MIT
,
Cambridge, MA
.
2.
Radhakrishnamacharya
,
G.
, and
Murty
,
V. R.
,
1993
, “
Heat Transfer to Peristaltic Transport in a Non-Uniform Channel
,”
Def. Sci. J.
,
43
, pp.
275
280
.
3.
Vajravelu
,
K.
,
Radhakrishnamacharya
,
G.
, and
Murty
,
V. R.
,
2007
, “
Peristaltic Flow and Heat Transfer in a Vertical Annulus, With Long Wave Approximation
,”
Int. J. Non-Linear Mech.
,
42
, pp.
754
759
.10.1016/j.ijnonlinmec.2007.02.014
4.
Srinivas
,
S.
, and
Kothandapani
,
M.
,
2008
, “
Peristaltic Transport in an Asymmetric Channel With Heat Transfer—A Note
,”
Int. Comm. Heat Mass Transfer
,
35
, pp.
514
522
.10.1016/j.icheatmasstransfer.2007.08.011
5.
Mekheimer
,
Kh. S.
, and
Abd elmaboud
,
Y.
,
2008
, “
The Influence of Heat Transfer and Magnetic Field on Peristaltic Transport of a Newtonian Fluid in a Vertical Annulus: Application of an Endoscope
,”
Phys. Lett. A
,
372
, pp.
1657
1665
.10.1016/j.physleta.2007.10.028
6.
Hayat
,
T.
,
Qureshi
,
M. U.
, and
Hussain
,
Q.
,
2009
, “
Effect of Heat Transfer on the Peristaltic Flow of an Electrically Conducting Fluid in a Porous Space
,”
Appl. Math. Model.
,
33
, pp.
1862
1873
.10.1016/j.apm.2008.03.024
7.
Nadeem
,
S.
, and
Akbar
,
N. S.
,
2010
, “
Influence of Temperature Dependent Viscosity on Peristaltic Transport of a Newtonian Fluid: Application of an Endoscope
,”
Appl. Math. Comput.
,
216
, pp.
3606
3619
.10.1016/j.amc.2010.05.006
8.
Srinivas
,
S.
,
Gayathri
,
R.
, and
Kothandapani
,
M.
,
2011
, “
Mixed Convective Heat and Mass Transfer in an Asymmetric Channel With Peristalsis
,”
Commun. Nonlinear Sci. Numer. Simul.
,
16
, pp.
1845
1862
.10.1016/j.cnsns.2010.08.004
9.
Srinivas
,
S.
, and
Muthuraj
,
R.
,
2011
, “
Effects of Chemical Reaction and Space Porosity on MHD Mixed Convective Flow in a Vertical Asymmetric Channel With Peristalsis
,”
Math. Comput. Modell.
,
54
, pp.
1213
1227
.10.1016/j.mcm.2011.03.032
10.
Abd
elmaboud
,
Y.
,
2012
, “
Influence of Induced Magnetic Field on Peristaltic Flow in an Annulus
,”
Commun. Nonlinear Sci. Numer. Simul.
,
17
, pp.
685
698
.10.1016/j.cnsns.2011.05.039
11.
Rao
,
A. R.
, and
Mishra
,
M.
,
2004
, “
Peristaltic Transport of a Power-Law Fluid in a Porous Tube
,”
J. Non-Newtonian Fluid Mech.
,
121
, pp.
163
174
.10.1016/j.jnnfm.2004.06.006
12.
Abd El Hakeem
,
A. E. N.
,
El Misery
,
A. E. M.
, and
Abd El Kareem
,
M. F.
,
2006
, “
Effects of a Magnetic Field on Trapping Through Peristaltic Motion for Generalized Newtonian Fluid in Channel
,”
Physica A
,
367
, pp.
79
92
.10.1016/j.physa.2005.10.045
13.
Vajravelu
,
K.
,
Sreenadh
,
S.
, and
Lakshminarayana
,
P.
,
2011
, “
The Influence of Heat Transfer on Peristaltic Transport of a Jeffrey Fluid in a Vertical Porous Stratum
,”
Commun. Nonlinear Sci. Numer. Simul.
,
16
, pp.
3107
3125
.10.1016/j.cnsns.2010.11.001
14.
Pandey
,
S. K.
, and
Chaube
,
M. K.
,
2010
, “
Peristaltic Transport of a Visco-Elastic Fluid in a Tube of Non-Uniform Cross Section
,”
Math. Comput. Modell.
,
52
, pp.
501
514
.10.1016/j.mcm.2010.03.047
15.
Nadeem
,
S.
,
Akbar
,
N. S.
,
Bibi
,
N.
, and
Ashiq
,
S.
,
2010
, “
Influence of Heat and Mass Transfer on Peristaltic Flow of a Third Order Fluid in a Diverging Tube
,”
Commun. Nonlinear Sci. Numer. Simul.
,
15
, pp.
2916
2931
.10.1016/j.cnsns.2009.11.009
16.
Tripathi
,
D.
,
2011
, “
Peristaltic Transport of a Viscoelastic Fluid in a Channel
,”
Acta Astronaut.
,
68
, pp.
1379
1385
.10.1016/j.actaastro.2010.09.012
17.
Hayat
,
T.
,
Noreen
,
S.
,
Alhothualib
,
M. S.
,
Asghar
,
S.
, and
Alhomaidan
,
A.
,
2012
, “
Peristaltic Flow Under the Effects of an Induced Magnetic Field and Heat and Mass Transfer
,”
Int. J. Heat Mass Tranfer
,
55
, pp.
443
452
.10.1016/j.ijheatmasstransfer.2011.09.044
18.
Radhakrishnamacharya
,
G.
, and
Srinivasulu
,
C.
,
2007
, “
Influence of Wall Properties on Peristaltic Transport With Heat Transfer
,”
C. R. Mec.
,
334
, pp.
369
373
.10.1016/j.crme.2007.05.002
19.
Muthu
,
P.
,
Kumar
,
B. V. R.
, and
Chandra
,
P.
,
2008
, “
Peristaltic Motion of Micropolar Fluid in Circular Cylindrical Tubes: Effect of Wall Properties
,”
Appl. Math. Model.
,
32
, pp.
2019
2033
.10.1016/j.apm.2007.06.034
20.
Hayat
,
T.
,
Javed
,
M.
, and
Ali
,
N.
,
2008
, “
MHD Peristaltic Transport of Jeffery Fluid in a Channel With Compliant Walls and Porous Space
,”
Transp. Porous Media
,
74
, pp.
259
274
.10.1007/s11242-007-9196-2
21.
Hayat
,
T.
,
Javed
,
M.
, and
Asghar
,
S.
,
2008
, “
MHD Peristaltic Motion of Johnson-Segalman Fluid in a Channel With Compliant Walls
,”
Phys. Lett. A
,
372
, pp.
5026
5036
.10.1016/j.physleta.2008.03.065
22.
Ali
,
N.
,
Hayat
,
T.
, and
Asghar
,
S.
,
2009
, “
Peristaltic Flow of a Maxwell Fluid in a Channel With Compliant Walls
,”
Chaos, Solitons Fractals
,
39
, pp.
407
416
.10.1016/j.chaos.2007.04.010
23.
Srinivas
,
S.
, and
Kothandapani
,
M.
,
2009
, “
The Influence of Heat and Mass Transfer on MHD Peristaltic Flow Through a Porous Space With Compliant Walls
,”
Appl. Math. Comput.
,
213
, pp.
197
208
.10.1016/j.amc.2009.02.054
24.
Hayat
,
T.
, and
Hina
,
S.
,
2010
, “
The Influence of Wall Properties on the MHD Peristaltic Flow of a Maxwell Fluid With Heat and Mass Transfer
,”
Nonlinear Anal.: Real World Appl.
,
11
, pp.
3155
3169
.10.1016/j.nonrwa.2009.11.010
25.
Sato
,
H.
,
Kawai
,
T.
,
Fujita
,
T.
, and
Okabe
,
M.
,
2000
, “
Two Dimensional Peristaltic Flow in Curved Channels
,”
Trans. Jpn. Soc. Mech. Eng., Ser. B
,
66
, pp.
679
685
.10.1299/kikaib.66.679
26.
Ali
,
N.
,
Sajid
,
M.
, and
Hayat
,
T.
,
2010
, “
Long Wavelength Flow Analysis in a Curved Channel
,”
Z. Naturforsch. A
,
65
, pp.
191
196
.
27.
Ali
,
N.
,
Sajid
,
M.
,
Javed
,
T.
, and
Abbas
,
Z.
,
2010
, “
Heat Transfer Analysis of Peristaltic Flow in a Curved Channel
,”
Int. J. Heat Mass Transfer
,
53
, pp.
3319
3325
.10.1016/j.ijheatmasstransfer.2010.02.036
28.
Ali
,
N.
,
Sajid
,
M.
,
Javed
,
T.
, and
Abbas
,
Z.
,
2010
, “
Non-Newtonian Fluid Flow Induced by Peristaltic Waves in a Curved Channel
,”
Eur. J. Mech. B/Fluids
29
, pp.
387
394
.10.1016/j.euromechflu.2010.04.002
29.
Hayat
,
T.
,
Javed
,
M.
, and
Hendi
,
A. A.
,
2011
, “
Peristaltic Transport of Viscous Fluid in a Curved Channel With Compliant Walls
,”
Int. J. Heat Mass Transfer
,
54
, pp.
1615
1621
.10.1016/j.ijheatmasstransfer.2010.11.022
30.
Hayat
,
T.
,
Hina
,
S.
,
Hendi
,
A. A.
, and
Asghar
,
S.
,
2011
, “
Effect of Wall Properties on the Peristaltic Flow of a Third Grade Fluid in a Curved Channel With Heat and Mass Transfer
,”
Int. J. Heat Mass Transfer
,
54
, pp.
5126
5136
.10.1016/j.ijheatmasstransfer.2011.07.036
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