Symmetry groups of boundary layer equations of a class of non-newtonian fluids

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Pakdemirli M., Yürüsoy M., Kücükbursa A.

International Journal of Non-Linear Mechanics, vol.31, no.3, pp.267-276, 1996 (Scopus)

• Publication Type: Article / Article
• Volume: 31 Issue: 3
• Publication Date: 1996
• Doi Number: 10.1016/0020-7462(95)00071-2
• Journal Name: International Journal of Non-Linear Mechanics
• Journal Indexes: Scopus
• Page Numbers: pp.267-276
• Keywords: boundary layer, non-Newtonian fluids
• Manisa Celal Bayar University Affiliated: Yes

Abstract

A non-Newtonian fluid model in which the stress is an arbitrary function of the symmetric part of the velocity gradient is considered. Symmetry groups of the two-dimensional boundary layer equations of the model are found by using exterior calculus. The complete isovector field corresponding to some cases, such as arbitrary shear function, Newtonian fluids, and power-law fluids, are found. Similarly, solutions for some special transformations are presented. Results obtained in a previous paper [M. Pakdemirli, Int. J. Non-Linear Mech. 29, 187 (1994)] using special groups of transformations (scaling, spiral) are verified in this study using a general approach. Copyright © 1996 Elsevier Science Ltd.