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Technical Briefs

Peristaltic Flow of Pseudoplastic Fluid in an Asymmetric Channel

[+] Author and Article Information
S. Noreen1

Department of Mathematics,  Comsats Institute of Information Technology, Attock 43600, Pakistan

A. Alsaedi

Department of Mathematics, Faculty of Science,  King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

T. Hayat

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

1

Corresponding author.

J. Appl. Mech 79(5), 054501 (Jun 29, 2012) (6 pages) doi:10.1115/1.4006259 History: Received August 15, 2011; Revised February 28, 2012; Posted March 03, 2012; Published June 28, 2012; Online June 29, 2012

Abstract

This research is concerned with the peristaltic flow of pseudoplastic fluid. The problem formulation is made and then the solution analysis is presented, subject to a long wavelength and a low Reynolds number. The stream function and pressure gradient have been computed. Pumping and trapping phenomena are analyzed in detail.

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Figures

Figure 1

(a) The pressure gradient dp/dx versus x when a=  0.2, b=  0.2, φ = π /4, d=  1.1, and θ =  1.2. (b) The pressure gradient dp/dx versus x when ξ =  0.05, b=  0.2, φ = π /4, d=  1.1, and θ =  1.2. (c) The pressure gradient dp/dx versus x when a=  0.2, ξ =  0.02, φ = π /4, d=  1.1, and θ =  1.2.

Figure 2

(a) The pressure rise Δ Pλ versus flow rate θ when a=  0.2, b=  0.1, φ = π /8, and d=  1.1. (b) The pressure rise Δ Pλ versus flow rate θ when ξ =  0.09, b=  0.1, φ = π /8, and d=  1.1. (c) The pressure rise ΔPλ versus flow rate θ when ξ =  0.09, a=  0.2, φ = π /8 and d=  1.1. (d) The pressure rise Δ Pλ versus flow rate θ when ξ =  0.01, a=  0.2, b=  0.2, and d=  1. (e) The pressure rise Δ Pλ versus flow rate θ when ξ =  0.01, a=  0.2, b=  0.2 and φ = π /6.

Figure 3

(a) The axial velocity u when x=  0.2, d=  1.1, a=  0.2, φ = π /4, b=  0.3, and θ =  2.2. (b) The axial velocity u when x=  0.2, d=  1.1, ξ =  0.05, φ = π /6, b=  0.3, and θ =  2.2. (c) The axial velocity u when x=  0.2, d=  1.1, ξ =  0.05, φ = π /6, a=  0.2, and θ =  2.2. (d) The axial velocity u when x=  0.2, d=  1.1, ξ =  0.05, φ = π /4, b=  0.3, and a=  0.2. (e) The axial velocity u when x=  0.2, d=  1.1, ξ =  0.05, φ = π /6, a=  0.2, and θ =  2.2.

Figure 4

Streamlines for different values of ξ =  0, 0.1, and 0.2 when the other parameters are a=  0.2, θ =  2.3, φ = π /6, b=  0.3, and d=  1

Figure 5

Streamlines for different values of φ =  0, π /4, and π /2. The other parameters are a=  0.2, θ =  2.3, ξ  = 0.05, b=  0.3, and d=  1.

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