A transformation of a low-speed, wind tunnel contraction profile was developed for allowing fifth-order polynomial to be fitted into a 'by-eye' curve. It was observed that the transformation for any continous, smooth function and the first and second order derivatives of the contraction wall profile vanish at the inlet and outlet. A smaller radius at the oulet while maintaining a longer transition of the outlet radius to the test section, linear functions can be choosen to generate a large radius at the inlet. The results show that the transformation generates a wide range of contraction wall profiles described by a convenient continuous function for a designer to chose form as opposed to the purely 'by-bye'design.