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Journal
2015 | 13 | 1 |
Article title

Peristaltic transport of a fractional Burgers’ fluid with variable
viscosity through an inclined tube

Authors
Content
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Languages of publication
EN
Abstracts
EN
In the present study,we investigate the unsteady
peristaltic transport of a viscoelastic fluid with fractional
Burgers’ model in an inclined tube. We suppose that the
viscosity is variable in the radial direction. This analysis
has been carried out under low Reynolds number and
long-wavelength approximations. An analytical solution
to the problem is obtained using a fractional calculus approach.
Figures are plotted to show the effects of angle
of inclination, Reynolds number, Froude number, material
constants, fractional parameters, parameter of viscosity
and amplitude ratio on the pressure gradient, pressure
rise, friction force, axial velocity and on the mechanical efficiency.
Publisher

Journal
Year
Volume
13
Issue
1
Physical description
Dates
online
15 - 12 - 2015
received
17 - 5 - 2015
accepted
19 - 11 - 2015
Contributors
author
  • Department of Physics,
    Faculty of Sciences Ain Chock, University Hassan II, Maarif,
    Casablanca 5366, Morocco
References
  • [1] T.W. Latham, MS Thesis, Fluid motion in a peristaltic pump,(Massachusetts Institute of Technology, Cambridge, 1966)
  • [2] M.Y. Jaffrin, A.H. Shapiro, Ann. Rev. Fluid Mech. 3, 13 (1971)[Crossref]
  • [3] J.C. Burns, T. Parkes, J. Fluid Mech. 29, 731 (1967)[Crossref]
  • [4] T. Hayat, N. Ali, Appl. Math. Mod. 32, 761 (2008)[Crossref]
  • [5] M.J. Manton, J. Fluid Mech. 68, 467 (1975)[Crossref]
  • [6] M. Mishra, A. Ramachandra Rao, Z. A. M. P. 54, 532 (2003)
  • [7] H. Rachid, M.T. Ouazzani, Eur. Phys. J. Plus 130, 122 (2015)
  • [8] A. Ramachandra Rao, M. Mishra, Acta Mechanica 168, 35 (2004)
  • [9] H. Rachid, M.T. Ouazzani, Int. J. Appl. Mech. 6, 1450061 (2014)[Crossref]
  • [10] M.H. Haroun, J. Applied Mech. Tech. Phys. 46, 842 (2005)[Crossref]
  • [11] M. Kothandapani, S. Srinivas, Int. J. Non-Linear Mech. 43, 915(2008)[Crossref]
  • [12] M. Elshahed, M.H. Haroun, Math. Prob. Eng. 2005, 663 (2005)[Crossref]
  • [13] Abd El Naby, Abd El Hakeem, J. Applied Mech. 76, 064504(2009)[Crossref]
  • [14] N. Ali, T. Hayat, Comput. Math. Appl. 55, 589 (2008)[Crossref]
  • [15] T. Hayat, Y. Wang, A.M. Siddiqui, K. Hutter, S. Asghar, J. Mech.Med. Biol. 12, 1691 (2002)
  • [16] O. U. Mehmood, N. Mustapha, S. Shafie, Applied Math. Mech.33, 1313 (2012)[Crossref]
  • [17] D. Tripathi, S.K. Pandey, S. Das, Appl.Math. Computer 215, 3645(2010)
  • [18] H. Rachid, Abstr. Appl. Anal. 2015, 360918 (2015)
  • [19] D. Tripathi, Math. BioSci. 233, 90 (2011)[Crossref]
  • [20] V.K. Narla, K.M. Prasad, J.V. Ramanamurthy, Chin. J. Eng. 2013,582390 (2013)
  • [21] A.R. Lee, A.H.D. Markwick, J. Soc. Chem. Ind. 56, 146 (1937)
  • [22] B.H. Tan, I. Jackson, J.D.F. Gerald, Phys. Chem. Miner. 28, 641(2001)[Crossref]
  • [23] T. Hayat, S.B. Khan, M. Khan, Appl.Math. Model., 32, 749 (2008)[Crossref]
  • [24] M. Khan, S. Hyder Ali, Haitao Qi, Nonlinear Aanal-Real., 10, 2286(2009)
  • [25] M. Khan, S. Asghar, T. Hayat, Nonlinear Aanal-Real., 10, 974(2009)
  • [26] A. M. Siddiqui, M.A. Rana, Naseer Ahmed, Appl. Math. Model.,34, 2881 (2010)[Crossref]
  • [27] J.-H. He, Z.-B. Li, J. King Saud Univ. Sci. ,DOI:10.1016/j.jksus.2015.07.001, (2015) in press[Crossref]
  • [28] F.-J. Liu, Z.-B. Li, S. Zhang, H.-Y. Liu, Therm. Sci., 19, 1155 (2015)[Crossref]
  • [29] A.H. Shapiro, M.Y. Jaffrin, S.L. Weinberg, J. Fluid Mech. 37, 799(1969)[Crossref]
  • [30] L.M. Srivastava, V.P. Srivastava, Biorheology 20, 153 (1983)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_1515_phys-2015-0046
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