Analytical approximations to the solution of the Blasius equation
Abstract
It is shown, with the Blasius equation as an example, that it is possible to accurately estimate physical parameters from integral conditions that are not generated by variational principles. The approximate solutions used must be tailored to the form of the integrand, weighted so as to minimize errors. The results might well be (as they are for the present example) more accurate than the corresponding results obtained by variational methods. A very precise analytical approximation to the solution of the Blasius equation was derived.
 Publication:

Acta Mechanica
 Pub Date:
 1981
 Bibcode:
 1981AcMec..38..119P
 Keywords:

 Blasius Equation;
 Computational Fluid Dynamics;
 Steady Flow;
 Accuracy;
 Flat Plates;
 Numerical Integration;
 Roots Of Equations;
 Fluid Mechanics and Heat Transfer