On compact uniform analytical approximations to the Blasius Velocity profile.

Robin, William

Abstract

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 Savaş [13], of another parameter, to obtain further approximate analytical representations of the Blasius function.

Citation

Robin, W. (2015). On compact uniform analytical approximations to the Blasius Velocity profile. International Mathematical Forum, 10, 311-322. https://doi.org/10.12988/imf.2015.514

• Journal Article Type: Article
• Publication Date: 2015
• Deposit Date: Jun 2, 2015
• Publicly Available Date: Dec 31, 2015
• Publisher: Hikari
• Peer Reviewed: Peer Reviewed
• Volume: 10
• Pages: 311-322
• DOI: https://doi.org/10.12988/imf.2015.514
• Keywords: Nonlinear ODE; Blasius equation; Blasius profile; Collocation; method; Least Squares
• Public URL: http://researchrepository.napier.ac.uk/id/eprint/8358
• Publisher URL: http://dx.doi.org/10.12988/imf.2015.514