# Analytic Approximate Solution for a Flow of a Second-Grade Viscoelastic Fluid in a Converging Porous Channel

Analytic Approximate Solution for a Flow of a Second-Grade Viscoelastic Fluid in a Converging... The problem of a two-dimensional steady flow of a second-grade fluid in a converging porous channel is considered. It is assumed that the fluid is injected into the channel through one wall and sucked from the channel through the other wall at the same velocity, which is inversely proportional to the distance along the wall from the channel origin. The equations governing the flow are reduced to ordinary differential equations. The boundary-value problem described by the latter equations is solved by the homotopy perturbation method. The effects of the Reynolds and crossflow Reynolds number on the flow characteristics are examined. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Mechanics and Technical Physics Springer Journals

# Analytic Approximate Solution for a Flow of a Second-Grade Viscoelastic Fluid in a Converging Porous Channel

, Volume 59 (1) – Mar 23, 2018
7 pages

Publisher
Subject
Physics; Classical Mechanics; Fluid- and Aerodynamics; Classical and Continuum Physics; Applications of Mathematics; Mathematical Modeling and Industrial Mathematics; Mechanical Engineering
ISSN
0021-8944
eISSN
1573-8620
D.O.I.
10.1134/S0021894418010091
Publisher site
See Article on Publisher Site

### Abstract

The problem of a two-dimensional steady flow of a second-grade fluid in a converging porous channel is considered. It is assumed that the fluid is injected into the channel through one wall and sucked from the channel through the other wall at the same velocity, which is inversely proportional to the distance along the wall from the channel origin. The equations governing the flow are reduced to ordinary differential equations. The boundary-value problem described by the latter equations is solved by the homotopy perturbation method. The effects of the Reynolds and crossflow Reynolds number on the flow characteristics are examined.

### Journal

Journal of Applied Mechanics and Technical PhysicsSpringer Journals

Published: Mar 23, 2018

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