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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 η, 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 1a2.
MSC:
76D10Boundary-layer theory, separation and reattachment, etc. (incompressible viscous fluids)
76M20Finite difference methods (fluid mechanics)