Derivation of "mimic functions" from regular perturbation expansions in fluid mechanics

Abstract

Given the first few terms of the power series expansion of some function, this paper discusses ways of constructing "mimic functions" which give accurate numerical estimates of the function over the entire physical region. The methods discussed are based on the Ratio method and the theory of 1 and 2 point Padé approximants. Mimic functions are constructed from the Blasius series for the skin friction on a parabola and from Goldstein's series for the Oseen drag on a sphere. The mimic functions so constructed are more accurate than those previously derived, given the same input information. © 1975 by Academic Press Inc. (London) Limited.