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Technical Briefs

Peristaltic Flow of Pseudoplastic Fluid in a Curved Channel With Wall Properties

[+] Author and Article Information
S. Hina

Department of Mathematical Sciences,
Fatima Jinnah Women University,
Rawalpindi 46000, Pakistan
e-mail: quaidan85@yahoo.com

M. Mustafa

Research Centre for Modeling and Simulation (RCMS),
National University of Sciences and Technology (NUST),
Sector H-12,
Islamabad 44000, Pakistan

T. Hayat

Department of Mathematics,
Quaid-I-Azam University 45320,
Islamabad 44000, Pakistan;
Department of Mathematics,
Faculty of Science,
King Abdulaziz University,
P.O. Box 80257,
Jeddah 21589, Saudi Arabia

A. Alsaedi

Department of Mathematics,
Faculty of Science,
King Abdulaziz University,
P.O. Box 80257,
Jeddah 21589, Saudi Arabia

1Corresponding author.

Manuscript received February 2, 2012; final manuscript received August 2, 2012; accepted manuscript posted August 23, 2012; published online January 22, 2013. Assoc. Editor: Nesreen Ghaddar.

J. Appl. Mech 80(2), 024501 (Jan 22, 2013) (7 pages) Paper No: JAM-12-1048; doi: 10.1115/1.4007433 History: Received February 02, 2012; Revised August 02, 2012; Accepted August 23, 2012

The effects of wall properties on the peristaltic flow of an incompressible pseudoplastic fluid in a curved channel are investigated. The relevant equations are modeled. Long wavelength and low Reynolds number approximations are adopted. The stream function and axial velocity are derived. The variations of the embedding parameters into the problem are carefully discussed. It is noted that the velocity profiles are not symmetric about the central line of the curved channel.

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References

Figures

Grahic Jump Location
Fig. 1

Variation of k on u when E1=0.02, E2=0.01, E3=0.01, ε=0.2, ξ=0.02, x=0.2, and t=0.1; solid lines: approximate analytic solution; points: numerical solution

Grahic Jump Location
Fig. 5

Variation of k on ψ when E1=0.2, E2=0.05, E3=0.15, ε=0.1, t=0, and ξ=-0.02; (a) k=3.5, (b) k=5, and (c) k→∞

Grahic Jump Location
Fig. 6

Variation of ξ on ψ when E1=0.2, E2=0.05, E3=0.15, ε=0.1, k=3.5, and t=0; (a) ξ=0, (b) ξ=0.0025, and (c) ξ=-0.0025

Grahic Jump Location
Fig. 7

Variation of compliant wall parameters on ψ when ε=0.1, k=3.5, t=0, and ξ=-0.025; (a) E1=0.15, E2=0.05, and E3=0.15, (b) E1=0.2, E2=0.05, and E3=0.15, (c) E1=0.15, E2=0.09, and E3=0.15, and (d) E1=0.15, E2=0.05, and E3=0.2

Grahic Jump Location
Fig. 2

Variation of ξ on u when E1=0.02, E2=0.01, E3=0.01, ε=0.2, x=0.2, and t=0.1; (a) k=3.5, and (b) k→∞

Grahic Jump Location
Fig. 3

Variation of ξ on u when E1=0.02, E2=0.01, E3=0.01, ε=0.2, x=0.2, and t=0.1; (a) k=3.5, and (b) k→∞

Grahic Jump Location
Fig. 4

Variation of compliant wall parameters on u when ξ=0.1, ε=0.2, x=0.2, and t=0.1; (a) k=3.5, and (b) k→∞

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