Boundary layer theory and symmetry analysis of a Williamson fluid

Yiǧit Aksoy; Tasawar Hayat; Mehmet Pakdemirli

doi:10.5560/ZNA.2012-0028

Boundary layer theory and symmetry analysis of a Williamson fluid

Yiǧit Aksoy
, Tasawar Hayat
, Mehmet Pakdemirli

Manisa Celal Bayar University
Quaid-I-Azam University
King Saud University

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

5 Scopus citations

Abstract

Boundary layer equations are derived for the first time for a Williamson fluid. Using Lie group theory, a symmetry analysis of the equations is performed. The partial differential system is transferred to an ordinary differential system via symmetries, and the resulting equations are numerically solved. Finally, the effects of the non-Newtonian parameters on the solutions are discussed.

Original language	English
Pages (from-to)	363-368
Number of pages	6
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	67
Issue number	6-7
DOIs	https://doi.org/10.5560/ZNA.2012-0028
State	Published - 2012
Externally published	Yes

Keywords

Boundary layer theory
Lie group theory
Non-newtonian fluid
Williamson fluid

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10.5560/ZNA.2012-0028

Cite this

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title = "Boundary layer theory and symmetry analysis of a Williamson fluid",

abstract = "Boundary layer equations are derived for the first time for a Williamson fluid. Using Lie group theory, a symmetry analysis of the equations is performed. The partial differential system is transferred to an ordinary differential system via symmetries, and the resulting equations are numerically solved. Finally, the effects of the non-Newtonian parameters on the solutions are discussed.",

keywords = "Boundary layer theory, Lie group theory, Non-newtonian fluid, Williamson fluid",

author = "Yiǧit Aksoy and Tasawar Hayat and Mehmet Pakdemirli",

year = "2012",

doi = "10.5560/ZNA.2012-0028",

language = "English",

volume = "67",

pages = "363--368",

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T1 - Boundary layer theory and symmetry analysis of a Williamson fluid

AU - Aksoy, Yiǧit

AU - Hayat, Tasawar

AU - Pakdemirli, Mehmet

PY - 2012

Y1 - 2012

N2 - Boundary layer equations are derived for the first time for a Williamson fluid. Using Lie group theory, a symmetry analysis of the equations is performed. The partial differential system is transferred to an ordinary differential system via symmetries, and the resulting equations are numerically solved. Finally, the effects of the non-Newtonian parameters on the solutions are discussed.

AB - Boundary layer equations are derived for the first time for a Williamson fluid. Using Lie group theory, a symmetry analysis of the equations is performed. The partial differential system is transferred to an ordinary differential system via symmetries, and the resulting equations are numerically solved. Finally, the effects of the non-Newtonian parameters on the solutions are discussed.

KW - Boundary layer theory

KW - Lie group theory

KW - Non-newtonian fluid

KW - Williamson fluid

UR - https://www.scopus.com/pages/publications/84867701809

U2 - 10.5560/ZNA.2012-0028

DO - 10.5560/ZNA.2012-0028

M3 - Article

AN - SCOPUS:84867701809

SN - 0932-0784

VL - 67

SP - 363

EP - 368

JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

IS - 6-7

ER -

Boundary layer theory and symmetry analysis of a Williamson fluid

Abstract

Keywords

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