In this paper, we present the idea of nonclassical similarity transformation, which takes into account the effect of the parameter λ on the boundary layer thickness, where λ is the ratio of wall velocity to the free stream velocity. The transformation is applied to the fluid flow over a moving flat plate (Blasius profiles).
Allan, F. M. (1997). Similarity solutions of a boundary layer problem over moving surfaces. Applied Mathematics Letters, 10(2), 81–85. https://doi.org/10.1016/S0893-9659(97)00015-3