The non-iterative trasformation method

The Blasius flow is an idealized flow of a viscous fluid past an infinitesimally, thick semi-infinite flat plate. The definition of a non-iterative trasformation method for the celebrated Blasius problem is due to Toepfer and date more than a century ago. Here we define a non-iterative trasformation method for the Blasius equation with a moving wall, a slip boundary condition or a surface gasification. The defined method allow us to deal with classes of problems that depending on a parameter, admit multiple or no solutions. This approach is particularly convenient when the main interest is on the on the behaviur of the considered models with respect to the involved parameter. The obtained numerical results are found to be in good agreement with those available in literature.