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

Pakdemirli M.Yürüsoy M.Kücükbursa A.2024-07-222024-07-22199600207462http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20700A 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.EnglishBoundary layersMathematical modelsMathematical transformationsShear stressExterior calculusTwo dimensional boundary layer equationsNon Newtonian liquidsSymmetry groups of boundary layer equations of a class of non-newtonian fluidsArticle10.1016/0020-7462(95)00071-2