Group-theoretic approach to boundary layer equations of an Oldroy-B fluid

Mehmet Pakdemirli; Tasawar Hayat; Yiǧit Aksoy

doi:10.5560/ZNA.2013-0065

Group-theoretic approach to boundary layer equations of an Oldroy-B fluid

Mehmet Pakdemirli
, Tasawar Hayat
, Yiǧit Aksoy

Manisa Celal Bayar University
Quaid-I-Azam University

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

1 Scopus citations

Abstract

Boundary layer equations are derived for the first time for an Oldroy-B fluid. The symmetry analysis of the equations is performed using Lie Group theory and the partial differential system is transferred to an ordinary differential system via symmetries. Resulting equations are numerically solved for the case of the stretching sheet problem. Effects of non-Newtonian parameters on the solutions are discussed.

Original language	English
Pages (from-to)	785-790
Number of pages	6
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	68
Issue number	12
DOIs	https://doi.org/10.5560/ZNA.2013-0065
State	Published - 2013
Externally published	Yes

Keywords

Boundary layer theory
Lie group analysis
Non-Newtonian fluid
Oldroy-B fluid
Stretching sheet problem

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10.5560/ZNA.2013-0065

Cite this

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abstract = "Boundary layer equations are derived for the first time for an Oldroy-B fluid. The symmetry analysis of the equations is performed using Lie Group theory and the partial differential system is transferred to an ordinary differential system via symmetries. Resulting equations are numerically solved for the case of the stretching sheet problem. Effects of non-Newtonian parameters on the solutions are discussed.",

keywords = "Boundary layer theory, Lie group analysis, Non-Newtonian fluid, Oldroy-B fluid, Stretching sheet problem",

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AU - Aksoy, Yiǧit

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N2 - Boundary layer equations are derived for the first time for an Oldroy-B fluid. The symmetry analysis of the equations is performed using Lie Group theory and the partial differential system is transferred to an ordinary differential system via symmetries. Resulting equations are numerically solved for the case of the stretching sheet problem. Effects of non-Newtonian parameters on the solutions are discussed.

AB - Boundary layer equations are derived for the first time for an Oldroy-B fluid. The symmetry analysis of the equations is performed using Lie Group theory and the partial differential system is transferred to an ordinary differential system via symmetries. Resulting equations are numerically solved for the case of the stretching sheet problem. Effects of non-Newtonian parameters on the solutions are discussed.

KW - Boundary layer theory

KW - Lie group analysis

KW - Non-Newtonian fluid

KW - Oldroy-B fluid

KW - Stretching sheet problem

UR - https://www.scopus.com/pages/publications/84890305539

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ER -

Group-theoretic approach to boundary layer equations of an Oldroy-B fluid

Abstract

Keywords

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