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

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Pakdemirli M., Hayat T., AKSOY Y.

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, cilt.68, sa.12, ss.785-790, 2013 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 68 Sayı: 12
• Basım Tarihi: 2013
• Doi Numarası: 10.5560/zna.2013-0065
• Dergi Adı: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.785-790
• Anahtar Kelimeler: Non-Newtonian Fluid, Oldroy-B Fluid, Boundary Layer Theory, Lie Group Analysis, Stretching Sheet Problem
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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. © 2013 Verlag der Zeitschrift für Naturforschung.