Research PapersNo Access

THE NUMERICAL AND ANALYTICAL SOLUTION OF PERISTALTIC FLOW OF A JEFFREY FLUID IN AN INCLINED TUBE WITH PARTIAL SLIP

S. NADEEM

Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan

Corresponding author.

Search for more papers by this author

NOREEN SHER AKBAR

Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan

Search for more papers by this author

, and

TABINDA NAZ

Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan

Search for more papers by this author

https://doi.org/10.1142/S0219519411003946Cited by:13 (Source: Crossref)

Abstract

In the present article, we have discussed the closed-form analytical and numerical solutions of the peristaltic flow of a Jeffrey fluid in an inclined tube with different viscosities and with different wave shapes. The closed-form analytical solutions have been computed by Adomian decomposition method and the numerical solutions have been calculated using finite difference technique. A comparison of numerical and analytical solutions have been presented and found a very good agreement between the two solutions. The expressions for pressure rise and friction forces are computed using numerical integration with the help of mathematics software. At the end various physical parameters appearing in the problem are shown pictorially and the results have been discussed in detail. The phenomena for different wave shape are also discussed.

Keywords:

References

S. Srinivas and M. Kothandapani, Int. Commun. Heat. Mass. Tran. 35, 514 (2008). Crossref, Web of Science, Google Scholar
M. Kothandapani and S. Srinivas, Phys. Lett. A. 372, 4586 (2008), DOI: 10.1016/j.physleta.2008.04.050. Crossref, Web of Science, Google Scholar
S. Srinivas and R. Gayathri, Appl. Math. Comput. 215, 185 (2009), DOI: 10.1016/j.amc.2009.04.067. Crossref, Web of Science, Google Scholar
S. Srinivas, R. Gayathri and M. Kothandapani, Comput. Phys. Commun. 180, 2115 (2009), DOI: 10.1016/j.cpc.2009.06.015. Crossref, Web of Science, Google Scholar
M. Kothandapani and S. Srinivas, Int. J. Non-linear Mech. 43, 915 (2008). Crossref, Web of Science, Google Scholar
L. B. Bergstrom, Fluid. Dyn. Res. 32, 29 (2005). Crossref, Web of Science, Google Scholar
Latham TW, Fluid motion in a peristaltic pump, M.Sc, Thesis, Massachusetts Institute of Technology, Cambridge, 1966 . Google Scholar
K. H. S. Mekheimer, Appl. Math. Comput. 153, 763 (2004). Crossref, Web of Science, Google Scholar
E. F. Elshehawayet al., Appl. Math. Comput. 182, 140 (2006). Crossref, Web of Science, Google Scholar
K. H. S. Mekheimer and Y. Abd Elmaboud, Phys. Lett. A. 372, 1657 (2008), DOI: 10.1016/j.physleta.2007.10.028. Crossref, Web of Science, Google Scholar
N. T. Eldabe, E. M. Elghazy and A. Ebaid, Phys. A. 363, 257 (2007). Google Scholar
A. Ebaid, Phys. A. 372, 5321 (2008). Google Scholar
S. Nadeem and N. S. Akbar, Commun. Nonlinear. Sci. Numer. Simul. 14, 3844 (2009), DOI: 10.1016/j.cnsns.2008.09.010. Crossref, Web of Science, Google Scholar
A. El. Hakeemet al., J. Phys. A. 36, 8535 (2003). Google Scholar
A. El. Hakeemet al., Appl. Math. Comput. 158, 497 (2004). Web of Science, Google Scholar
N. T. M. Eldabeet al., Arch. Mech. 28, 599 (2008). Google Scholar