Endoscopic Effects on the Peristaltic Flow of a Jeffrey Six-Constant Fluid Model with Variable Viscosity
Publication: Journal of Aerospace Engineering
Volume 26, Issue 3
Abstract
In the present paper, the solution for peristaltic flow of a six-constant Jeffreys fluid model in an endoscope is discussed. Perturbation and numerical solutions are calculated for nonlinear differential equations. A comparative study is also performed to examine the validity of both results. The results for pressure rise frictional forces and pressure gradient are calculated using numerical integration and presented graphically to interpret the behavior of various physical quantities of the six-constant Jeffreys fluid model.
Get full access to this article
View all available purchase options and get full access to this article.
References
Aristov, S. N., and Skul’skii, O. I. (2002). “Exact solution of the problem on a six-constant Jeffreys fluid in a plane channel.” J. Appl. Mech. Tech. Phys., 43(6), 817–822.
Ebaid, A. (2008). “A new numerical solution for the MHD peristaltic flow of a biofluid with variable viscosity in circular cylindrical tube via Adomian decomposition method.” Physica A, 372(32), 5321–5328.
El Hakeem, A., El Naby, A., El Misery, A. E. M., and El Shamy, I. I. (2003). “Hydromagnetic flow of fluid with variable viscosity in a uniform tube with peristalsis.” J. Phys. A: Math. Gen. 37(4), 1461.
El Hakeem, A., El Naby, A., El Misery, A. E. M., and El Shamy, I. I. (2004). “Effects of an endoscope and fluid with variable viscosity on peristaltic motion.” Appl. Math. Comput., 158(2), 497–511.
Elshahed, M., and Haroun, M. H. (2005). “Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field.” Math. Probl. Eng., 2005(6), 663–677.
Hariharan, P., Seshadri, V., and Banerjee, R. K. (2008). “Peristaltic transport of non-Newtonian fluid in a diverging tube with different wave forms.” Math. Comput. Model., 48(7–8), 998–1017.
Haroun, M. H. (2007). “Non-linear peristaltic flow of a fourth grade fluid in an inclined asymmetric channel.” Comput. Mater. Sci., 39(2), 324–333.
Kothandapani, M., and Srinivas, S. (2008a). “On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium.” Phys. Lett. A, 372(25), 4586–4591.
Kothandapani, M., and Srinivas, S. (2008b). “Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel.” Int. J. Non-linear Mech., 43(9), 915–924.
Mathematica 7 [Computer software]. Champaign, IL, Wolfram Research.
Mekheimer, Kh. S., and Elmaboud, Y. A. (2008a). “Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope.” Physica A, 387(11), 2403–2415.
Mekheimer, Kh. S., and Elmaboud, Y. A. (2008b). “The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: An application of an endoscope.” Phys. Lett. A, 372(10), 1657–1665.
Nadeem, S., and Akbar, N. S. (2009a). “Effects of heat transfer on the peristaltic transport of MHD Newtonian fluid with variable viscosity: Application of Adomian decomposition method.” Commun. Nonlinear Sci. Numer. Simul., 14(11), 3844–3855.
Nadeem, S., and Akbar, N. S. (2009b). “Influence of heat transfer on a peristaltic transport of Herschel Bulkley fluid in a non-uniform inclined tube.” Commun. Nonlinear Sci. Numer. Simul., 14(12), 4100–4113.
Raftari, B., and Yildrim, A. (2010). “The application of homotopy perturbation method for MHD flows of UCM fluids above porous stretching sheets.” Comput. Math. Appl., 59(10), 3328–3337.
Srinivas, S., Gayathri, R., and Kothandapani, M. (2009). “The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport.” Comput. Phys. Commun., 180(11), 2115–2122.
Srinivas, S., and Kothandapani, M. (2008). “Peristaltic transport in an asymmetric channel with heat transfer, A note.” Int. Commun. Heat Mass Transf., 35(4), 514–522.
Yildirim, A., and Mohyud-Din, S. T. (2010). “Analytical approach to space- and time-fractional Burgers equations.” Chinese Phys. Lett., 27(9), 090501.
Yildirim, A., and Sezer, S. A. (2010a). “Analytical solution of linear and non-linear space-time fractional reaction-diffusion equations.” Int. J. Chem. Reactor Eng., 8(1), 1–21.
Yildirim, A., and Sezer, S. A. (2010b). “Effects of partial slip on the peristaltic flow of a MHD Newtonian fluid in an asymmetric channel.” Math. Comput. Model., 52(3–4), 618–625.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 26 • Issue 3 • July 2013
Pages: 535 - 543
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Aug 11, 2010
Accepted: Sep 30, 2011
Published online: Jun 14, 2013
Published in print: Jul 1, 2013
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.