Flow of a second grade fluid through a cylindrical permeable tube

Saadet Özer; Erdoǧan S. Şuhubi

doi:10.1016/j.amc.2005.12.008

Flow of a second grade fluid through a cylindrical permeable tube

Saadet Özer^*, Erdoǧan S. Şuhubi

^*Corresponding author for this work

Yeditepe University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In the present work, a second grade fluid flow in a cylindrical tube is investigated. The perturbations were expanded in terms of the second order material coefficient, which means that either the second order parameter is sufficiently small or the characteristic diameter is very large. After obtaining the solutions for the impermeable tube, problem is examined for suction or injection through the surfaces of the tube. The general solutions are obtained for a tube of circular cross-section and also applied to a tube of arbitrary cross-section by using conformal transformation.

Original language	English
Pages (from-to)	672-687
Number of pages	16
Journal	Applied Mathematics and Computation
Volume	179
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2005.12.008
Publication status	Published - 15 Aug 2006
Externally published	Yes

Funding

One of the authors (E.S. Şuhubi) acknowledges the support provided by Turkish Academy of Sciences.

Funders	Funder number
Türkiye Bilimler Akademisi

Keywords

Conformal mapping
Injection
Non-Newtonian fluids
Second grade fluid
Suction

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10.1016/j.amc.2005.12.008

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AU - Şuhubi, Erdoǧan S.

PY - 2006/8/15

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N2 - In the present work, a second grade fluid flow in a cylindrical tube is investigated. The perturbations were expanded in terms of the second order material coefficient, which means that either the second order parameter is sufficiently small or the characteristic diameter is very large. After obtaining the solutions for the impermeable tube, problem is examined for suction or injection through the surfaces of the tube. The general solutions are obtained for a tube of circular cross-section and also applied to a tube of arbitrary cross-section by using conformal transformation.

AB - In the present work, a second grade fluid flow in a cylindrical tube is investigated. The perturbations were expanded in terms of the second order material coefficient, which means that either the second order parameter is sufficiently small or the characteristic diameter is very large. After obtaining the solutions for the impermeable tube, problem is examined for suction or injection through the surfaces of the tube. The general solutions are obtained for a tube of circular cross-section and also applied to a tube of arbitrary cross-section by using conformal transformation.

KW - Conformal mapping

KW - Injection

KW - Non-Newtonian fluids

KW - Second grade fluid

KW - Suction

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ER -

Flow of a second grade fluid through a cylindrical permeable tube

Abstract

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Keywords

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