Exact Solution of the Navier-Stokes Equations for the Fully Developed, Pulsating Flow in a Rectangular Duct With a Constant Cross-Sectional Velocity1-Reference-Cited by-同舟云学术

Exact Solution of the Navier-Stokes Equations for the Fully Developed, Pulsating Flow in a Rectangular Duct With a Constant Cross-Sectional Velocity1

Published:2003-03-01 Issue:2 Volume:125 Page:382-385
ISSN:0098-2202
Container-title:Journal of Fluids Engineering
language:en
Short-container-title:

Author:

Tsangaris S.¹,Vlachakis N. W.¹

Affiliation:

1. Department of Mechanical Engineering, National Technical University of Athens, Fluids Section, 15710 Zografou, Athens, Greece

Abstract

The Navier-Stokes equations have been solved in order to obtain an analytical solution of the fully developed laminar flow in a duct having a rectangular cross section with two opposite equally porous walls. We obtained solutions both for the case of steady flow as well as for the case of oscillating pressure gradient flow. The pulsating flow is obtained by the superposition of the steady and oscillating pressure gradient solutions. The solution has applications for blood flow in fiber membranes used for the artificial kidney.

Publisher

ASME International

Subject

Mechanical Engineering

Link

http://asmedigitalcollection.asme.org/fluidsengineering/article-pdf/125/2/382/5901412/382_1.pdf

Reference7 articles.

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3. Drake, D. G. , 1965, “On the Flow in a Channel Due to a Periodic Pressure Gradient,” Q. J. Mech. Appl. Math., 18(1), pp. 1–10.

4. Fan, C., and Chao, B. T., 1965, “Unsteady, Laminar, Incompressible Flow Through Rectangular Ducts,” Z. Angew. Math. Phys., 16, pp. 351–360.

5. O’Brien, V. , 1975, “Pulsatile Fully Developed Flow in Rectangular Channels,” J. Franklin Inst., 300(3), pp. 225–230.

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