Self-similar analysis of Eyring-Powell fluid in boundary layer without simplification

The paper focuses on a theoretically study of fluid flow and heat transfer of Eyring-Powell fluid in a boundary layer over a flat surface. For the first time, groups of symmetry transformations were obtained for the full rheological law of Eyring-Powell fluid. This enabled obtaining self-similar forms of nonlinear differential equations different from the classical Blasius forms, which describe the limiting case for the large values of the parameter A. At the same time, the self similar Blasius forms correctly describe the transition from the velocity profiles for a Newtonian fluid to linear profiles for Eyring-Powell fluid. The velocity and temperature profiles become less full due to the increasing parameter A, so that finally these profiles exhibit a linear shape. The friction coefficients and the Nusselt numbers decrease with the increasing parameter A.