Limiting behavior of micropolar flow due to a linearly stretching porous sheet

The boundary layer flow of a micropolar fluid due to a linearly stretching sheet is studied in the limit of a vanishing coupling parameter. Asymptotic expansions of the stream function and the micro-rotation are sought after. The straightforward expansions involve secular terms. This singular behavior is removed by the novel approach of replacing the coordinate, measuring distances normal to the sheet, by two strained coordinates. This makes it possible to obtain exact (series) solutions for all levels of approximation. One can obtain results, as accurate as one would wish, by retaining enough terms of the expansions. Suction and injection through the sheet are included.