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Research Papers: Fundamental Issues and Canonical Flows

Unsteady Peristaltic Pumping in a Finite Length Tube With Permeable Wall

[+] Author and Article Information
Y. V. K. Ravi Kumar1

Department of Mathematics, Stanley College of Engineering and Technology for Women, Hyderabad 500001, Indiayvkravi@rediffmail.com

S. V. H. N. Krishna Kumari.P

Department of Mathematics, Osmania University, Hyderabad 500007, Indiakrishnagannamaraju@gmail.com

M. V. Ramana Murthy

Department of Mathematics, Osmania University, Hyderabad 500007, Indiamv.rm50@gmail.com

S. Sreenadh

Department of Mathematics, Sri Venkateswara University, Tirupati 517502, Indiadrsreenadh@yahoo.co.in

1

Corresponding author.

J. Fluids Eng 132(10), 101201 (Oct 06, 2010) (4 pages) doi:10.1115/1.4002518 History: Received June 26, 2009; Revised September 04, 2010; Published October 06, 2010; Online October 06, 2010

Peristaltic transport due to a sinusoidal wave traveling on the boundary of a tube filled with an incompressible fluid is presented. Solution is obtained under infinite wavelength and zero Reynolds number in a finite length tube which extends the study of Li and Brasseur (1993, “Non-Steady Peristaltic Transport in Finite-Length Tubes,” J. Fluid Mech., 248, pp. 129–151). Boundary conditions are changed to include wall permeability. Analysis of pressure profile is described.

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Figures

Grahic Jump Location
Figure 1

Pressure distributions with z along the tube for α=0, α=0.1 with ε/a=0.018, A=1.609, and (L/λ=2) when t=0

Grahic Jump Location
Figure 2

Pressure distributions with z along the tube for α=0, α=0.1 with ε/a=0.018, A=1.609, and (L/λ=2) when t=0.02

Grahic Jump Location
Figure 3

Pressure distributions with z along the tube for α=0, α=0.1 with ε/a=0.018, A=1.609, and (L/λ=2) when t=0.04

Grahic Jump Location
Figure 4

Pressure distributions with z along the tube for α=0, α=0.1 with ε/a=0.018, A=1.609, and (L/λ=2) when t=0.49

Grahic Jump Location
Figure 5

Pressure distributions with z along the tube for α=0, α=0.1 with ε/a=0.018, A=1.609, and (L/λ=1.82) when t=0

Grahic Jump Location
Figure 6

Pressure distributions with z along the tube for α=0, α=0.1 with ε/a=0.018, A=1.609, and (L/λ=1.82) when t=0.02

Grahic Jump Location
Figure 7

Pressure distributions with z along the tube for α=0, α=0.1 with ε/a=0.018, A=1.609, and (L/λ=1.82) when t=0.49

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