M. Pakdemirli et al., SYMMETRY GROUPS OF BOUNDARY-LAYER EQUATIONS OF A CLASS OF NON-NEWTONIAN FLUIDS, International journal of non-linear mechanics, 31(3), 1996, pp. 267-276
A non-Newtonian fluid model in which the stress is an arbitrary functi
on of the symmetric part of the velocity gradient is considered. Symme
try groups of the two-dimensional boundary layer equations of the mode
l are found by using exterior calculus. The complete isovector field c
orresponding to some cases, such as arbitrary shear function, Newtonia
n fluids, and power-law fluids, are found. Similarly, solutions for so
me special transformations are presented. Results obtained in a previo
us paper [M. Pakdemirli, Int. J. Non-Linear Mech. 29, 187 (1994)] usin
g special groups of transformations (scaling, spiral) are verified in
this study using a general approach. (C) 1996 Elsevier Science Ltd.