On compact uniform analytical approximations to the Blasius velocity profile

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It is shown that approximate analytical representations of the Blasius function may be developed by using the error function, erf (ax), for positive constant a, as a basic compact approximate form for the derivative of the Blasius function, that is, the dimensionless velocity profile for the Blasius problem. This compact approximate analytical representation of the Blasius velocity function is then refined by the addition, following Savas [13], of another parameter, to obtain further approximate analytical representations of the Blasius function.