Similarity solutions to unsteady pseudoplastic flow near a moving wall

Abstract

It is shown that similarity solutions to a partial differential boundary value problem for power law fluids may be generated by the application of a multiparameter stretching group. Furthermore, the resulting ordinary differential boundary value problem arising from the initial group analysis is itself transformed to an initial value problem by the application of a further stretching (oneparameter) group transformation. The resultant initial value problem is solved by a standard forward marching method. Mathematics Subject Classification: 34B40, 35C06, 35G30, 76M55, 76M60