Rough estimates of the Blasius constant

Mathematical physics

Integral properties of homogeneous solutions of the Crocco boundary problem and splitting (flat) decomposition have been used for an approximate estimate of the Blasius constant. The derivative d(fi) / dh was proved to have a logarithmic singularity at the point h = 1, therefore the second one tends to minus zero, and the function in itself tends to plus zero, because h tends to unity minus zero, so the splitting series is not slower to diverge as compared with the harmonic one. The existence of an integral invariant was proved for a uniform solution of the Crocco boundary problem, the solution exhibiting the squared norm of the solution derivative. The condition for distribution minimum was established to be satisfied along the real uniform solutions of the boundary Crocco problem.