Polynomial Approximation of the Laminar Boundary Layer on a Flat Plate on the Basis of the Karman Momentum Integral.

Autor:	Kot, V. A.
Předmět:	LAMINAR boundary layer POLYNOMIAL approximation NUMERICAL solutions to equations BOUNDARY layer (Aerodynamics) SURFACE plates BOUNDARY layer equations
Zdroj:	Journal of Engineering Physics & Thermophysics; Mar2023, Vol. 96 Issue 2, p438-467, 30p
Abstrakt:	A new approach to the polynomial approximation of the laminar boundary layer on the surface of a flat plate on the basis of the Karman momentum integral with the use of additional optimum constraints is proposed. The polynomial coefficients of a solution of the problem on this layer were determined for the first time with the use of the system of zero boundary conditions for the surface of the plate and definite boundary conditions for the outer side of the boundary layer on it. Optimum polynomial solutions of the problem in the zero to twentieth approximations have been obtained. A solution of the problem obtained in the seventeenth approximation is almost identical to the high-accuracy numerical solution of the Blasius equation, obtained by B. D. Ganapol, with a maximum deviation of 6∙10–7. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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