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 \(1\leq a\leq 2\).
MSC:
| 76D10 | Boundary-layer theory, separation and reattachment, higher-order effects |
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
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