0
Fundamental Issues and Canonical Flows

Peristaltic Flow of a Carreau Fluid in a Rectangular Duct

[+] Author and Article Information
S. Nadeem1

Department of Mathematics,  Quaid-i-Azam University, 45320, Islamabad, 44000 Pakistansnqau@hotmail.com

Safia Akram

Department of Humanities and Basic Sciences,  Military College of Signals, National University of Sciences and Technology, Rawalpindi 46000, Pakistan

T. Hayat

Department of Mathematics,  Quaid-i-Azam University, 45320, Islamabad, 44000 Pakistan; Department of Mathematics, College of Sciences,  King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Awatif A. Hendi

Department of Mathematics, College of Sciences,  King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

1

Corresponding author.

J. Fluids Eng 134(4), 041201 (Mar 27, 2012) (7 pages) doi:10.1115/1.4005727 History: Received December 15, 2010; Revised March 05, 2011; Published March 27, 2012; Online March 27, 2012

In the present investigation we have studied the peristaltic flow of a Carreau fluid in a rectangular duct. The flow is investigated in the wave frame of reference moving with the velocity c away from the fixed frame. The peristaltic wave propagating on the horizontal side walls of a rectangular duct is studied under long wave length and low Reynolds number approximation. The analytical solutions of velocity and pressure gradient have been found under lubrication approach with the help of Homotopy perturbation method. Graphical results are displayed to see the behavior of various emerging parameters of Carreau fluid. The comparison of the present work is also made with the existing literature.

FIGURES IN THIS ARTICLE
<>
Copyright © 2012 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Schematic diagram of peristaltic flow with waves propagating on horizontal walls in a rectangular duct

Grahic Jump Location
Figure 2

Variation of Δp with Q for different values of β at φ = 0.8,n = 0.8 and We = 0.03

Grahic Jump Location
Figure 3

Variation of Δp with Q for different values of φ at n = 0.5,6(2010)63 - 76. and We = 0.03.

Grahic Jump Location
Figure 4

Variation of dp/dx with x for different values of 11(2010)4238 - 4247, at n = 0.8, Q = 2, 125(2003) 382 - 385, and We = 0.03

Grahic Jump Location
Figure 5

Variation of dp/dx with 43(2008)915 -  for different values of φ at Q = 2, β = 2,37(1998)2895-2920 and φ = 0.6

Grahic Jump Location
Figure 6

Variation of dp/dx with x for different values of 65a,(2010)483 - 494 at β = 2, n = 0.8,37(1969) 799 - 825, and φ = 0.8

Grahic Jump Location
Figure 7

Velocity profile for different values of Q for fixed y = 1, x = 0, β = 0.3, φ = 0.6, n = 0.5, and We = 0.03. Fig. (a) for two-dimensional, Fig. (b) for three-dimensional.

Grahic Jump Location
Figure 8

Velocity profile for different values of β for fixed y = 1, x = 0, Q = 1.5, φ = 0.6, n = 0.5, and We = 0.03. Fig. (a) for two-dimensional, Fig. (b) for three- dimensional.

Grahic Jump Location
Figure 9

Velocity profile for different values of We for fixed y = 1, x = 0, β = 0.3, φ = 0.6, n = 0.5, and β = 0.3. Fig. (a) for two-dimensional, Fig. (b) for three-dimensional.

Grahic Jump Location
Figure 10

Velocity profile for different values of n for fixed y = 1, x = 0, β = 0.3, φ = 0.6, We = 0.03, and β = 0.3. Fig. (a) for two- dimensional, Fig. (b) for three-dimensional.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In