ACCURATE ANALYTICAL SOLUTIONS OF THE VELOCITY PROFILE IN THE BOUNDARY LAYER ON A PLATE (BLASIUS PROBLEM)

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.

Author:  V. M. Zubarev
Keywords:  laminar boundary layer, incompressible Newtonian fluid, thin flat plate, Blasius problem, analytical approximations, nonlinear least squares method
Page:  644