An approximate compact analytical expression for the Blasius velocity profile. (English) Zbl 1351.34026

Summary: A single-term, two-parameter, hyperbolic tangent function is presented to describe the flow profiles in the Blasius boundary layer, which reproduces the streamwise velocity profile within 0.003 (0.3% of free stream velocity) of its numerical exact solution throughout the flow. The function can be inverted for an implicit description of the velocity profile.


34B40 Boundary value problems on infinite intervals for ordinary differential equations
34E05 Asymptotic expansions of solutions to ordinary differential equations
Full Text: DOI


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