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Numerical solutions of the classical Blasius flat-plate problem. (English) Zbl 1077.76023
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 $1\le a\le 2$.

76D10Boundary-layer theory, separation and reattachment, etc. (incompressible viscous fluids)
76M20Finite difference methods (fluid mechanics)
Full Text: DOI
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