  In this study, five different time-dependent incompressible non-Newtonian
boundary layer models in two dimensions are investigated, including external
magnetic field effects. The power law, the Casson fluid, the Oldroyd-B model,
the Walter fluid B model and the Williamson fluid are analyzed. For the first
two models, analytical results are given for the velocity and pressure
distributions, which can be expressed by different types of hypergeometric
functions. Depending on the parameters involved in the analytical solutions of
the nonlinear ordinary differential equation obtained by the similarity
transformation, a very wide range of solution types is presented.
