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<p>A classical problem in the theory of a viscous laminar boundary layer on a flat thin plate (the Blasius problem) is considered. Using the nonlinear least squares method, accurate correlation dependences for the longitudinal velocity have been found, which can be used further in numerical simulation of plane and three-dimensional flows in the boundary layer. A comparison of the calculated and analytical profiles of velocity u with known data is carried out.</p>

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Accurate Analytical Solutions of the Velocity Profile in the Boundary Layer on a Plate (Blasius Problem)

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • V. M. Zubarev

摘要

A classical problem in the theory of a viscous laminar boundary layer on a flat thin plate (the Blasius problem) is considered. Using the nonlinear least squares method, accurate correlation dependences for the longitudinal velocity have been found, which can be used further in numerical simulation of plane and three-dimensional flows in the boundary layer. A comparison of the calculated and analytical profiles of velocity u with known data is carried out.