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Zbl 1077.76023
Cortell, Rafael
Numerical solutions of the classical Blasius flat-plate problem. (English)
[J] Appl. Math. Comput. 170, No. 1, 706-710 (2005). ISSN 0096-3003

This paper presents a numerical study of the nonlinear differential equation $af'''+ff''=0$, where a prime denotes differentiation with respect to the similarity variable $\eta$, and $a$ is a parameter. For $a=1$ and $a=2$ this equation is a form of the Blasius relation for the flat-plate flow in fluid mechanics. Several numerical solution are obtained using a Runge-Kutta algorithm for high-order initial value problems for $1\le a\le 2$.

MSC 2000:: *76D10 Boundary-layer theory (incompressible fluids)
76M20 Finite difference methods

Keywords: Runge-Kutta algorithm; high-order initial value problems

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Zentralblatt MATH Berlin [Germany]