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/content/aip/journal/adva/6/1/10.1063/1.4940896
1.
1.T.W. Latham, “Fluid motion in peristaltic pump,” M. S .Thesis, MIT, Cambridge, MA(1966).
2.
2.A.H. Shapiro, M.Y. Jaffrin, and S. L. Weinberg, “Peristaltic pumping with long wavelength at low Reynolds number,” J. Fluid Mech. 37, 799 (1969).
http://dx.doi.org/10.1017/S0022112069000899
3.
3.Y.C. Fung and C.S. Yih, “Peristaltic transport,” Trans ASME J. Appl. Mech. 33, 669675 (1968).
http://dx.doi.org/10.1115/1.3601290
4.
4.Y. Wang, T. Hayat, and K. Hutter, “Peristaltic flow of a Johnson-Segalman fluid through a deformable tube,” Theor. Comput. Fluid Dyn. 21, 369-380 (2007).
http://dx.doi.org/10.1007/s00162-007-0054-1
5.
5.T. Hayat, N. Ali, and S. Asgher, “Hall effects on peristaltic flow of a Maxwell fluid in a porous medium,” Phys. Lett. A 363, 397-403 (2007).
http://dx.doi.org/10.1016/j.physleta.2006.10.104
6.
6.A. Ebaid, “Effects of magnetic field and wall slip conditions on the peristaltic transport of a Newtonian fluid in an asymmetric channel,” Phys. Lett. A. 372, 44934499 (2008).
http://dx.doi.org/10.1016/j.physleta.2008.04.031
7.
7.D. Tripathi, S. K. Pandey, and S. Das, “Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel,” Appl. Math. Comput. 215, 3645-3654 (2010).
http://dx.doi.org/10.1016/j.amc.2009.11.002
8.
8.A.M. Abd-Alla, S.M. Abo-Dahab, and A. Kilicman, “Peristaltic flow of a Jeffrey fluid under the effect of radially varying magnetic field in a tube with an endoscope,” Journal of Magnetism and Magnetic Materials 384, 79-86 (2015).
http://dx.doi.org/10.1016/j.jmmm.2015.02.017
9.
9.N.S. Gad, “Effects of hall currents on peristaltic transport with compliant walls,” Applied Mathematics and Computation 235, 546-554 (2014).
http://dx.doi.org/10.1016/j.amc.2014.02.081
10.
10.Y. Abd elmaboud and Kh.S. Mekheimer, “Non-linear peristaltic transport of a second-order fluid through a porous medium,” Applied Mathematical Modelling 35, 2695-2710 (2011).
http://dx.doi.org/10.1016/j.apm.2010.11.031
11.
11.N. Ali, M. Sajid, T. Javed, and Z. Abbas, “Heat transfer analysis of peristaltic flow in a curved channel,” International Journal of Heat and Mass Transfer 53(15–16), 3319-3325 (2010).
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2010.02.036
12.
12.Abdelhalim Ebaid, “Remarks on the homotopy perturbation method for the peristaltic flow of Jeffrey fluid with nano-particles in an asymmetric channel,” Computers & Mathematics with Applications 68(3), 77-85 (2014).
http://dx.doi.org/10.1016/j.camwa.2014.05.008
13.
13.N. Ali, M. Sajid, Z. Abbas, and T. Javed, “Non-Newtonian fluid flow induced by peristaltic waves in a curved channel,” European Journal of Mechanics - B/Fluids 29(5), 387-394 (2010).
http://dx.doi.org/10.1016/j.euromechflu.2010.04.002
14.
14.D. Tsiklauri and I. Beresnev, “Non-Newtonian effects in the peristaltic flow of a Maxwell fluid,” Phys. Rev. E. 64, 036303 (2001).
http://dx.doi.org/10.1103/PhysRevE.64.036303
15.
15.T. Hayat, N. Ali, and S. Asghar, “An analysis of peristaltic transport for flow of a Jeffrey fluid,” Acta Mechanica 193, 101-112 (2007).
http://dx.doi.org/10.1007/s00707-007-0468-2
16.
16.E. F. El-Shehawy, N. T. El-Dabe, and I.M El-Desoky, “Slip effects on the Peristaltic flow of a non-Newtonian Maxwellian fluid,” Acta Mech. 186, 141-159 (2006).
http://dx.doi.org/10.1007/s00707-006-0343-6
17.
17.Kh. S. Mekheimer and A. N. Abd-El-Wahab, “Effect of wall compliance on compressible fluid transport induced by a surface acoustic wave in a micro-channel,” Num. Meth. Par. Diff. Eq. 27, 621-636 (2009).
http://dx.doi.org/10.1002/num.20542
18.
18.J. Harris, Rheology and Non-Newtonian Flow (Longman, London, 1977).
19.
19.R. B. Bird, C. F. Curtiss, R. C. Armstrong, and O. Hassager, Dynamics of polymeric liquids volume 1 (Fluid Mechanics) (Wiley, 1987).
20.
20.F. A. Morrison, Understanding Rheology (Oxford university press, New York Oxford, 2001).
21.
21.L.F. Shampine, J. Kierzenka, and M. W. Reichelt, Solving Boundary Value Problems for Ordinary Differential Equations in Matlab with bvp4c. (2000), ftp://ftp.mathworks.com/pub/doc/papers/bvp/.
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/content/aip/journal/adva/6/1/10.1063/1.4940896
2016-01-29
2016-09-28

Abstract

This paper presents a theoretical study for peristaltic flow of a non-Newtonian compressible Maxwell fluid through a tube of small radius. Constitutive equation of upper convected Maxwell model is used for the non-Newtonian rheology. The governing equations are modeled for axisymmetric flow. A regular perturbation method is used for the radial and axial velocity components up to second order in dimensionless amplitude. Exact expressions for the first-order radial and axial velocity components are readily obtained while second-order mean axial velocity component is obtained numerically due to presence of complicated non-homogenous term in the corresponding equation. Based on the mean axial velocity component, the net flow rate is calculated through numerical integration. Effects of various emerging parameters on the net flow rate are discussed through graphical illustrations. It is observed that the net flow rate is positive for larger values of dimensionless relaxation time. This result is contrary to that of reported by [D. Tsiklauri and I. Beresnev, “Non-Newtonian effects in the peristaltic flow of a Maxwell fluid,” Phys. Rev. E. 64 (2001) 036303].” i.e. in the extreme non-Newtonian regime, there is a possibility of reverse flow.

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