Chaotic behavior in the flow along a wedge modeled by the Blasius equation
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Chaotic behavior in the flow along a wedge modeled by the Blasius equation
The Blasius equation describes the properties of steady-state two dimensional boundary layer forming over a semi-infinite plate parallel to a unidirectional flow field. The flow is governed by a modified Blasius equation when the surface is aligned along the flow. In this paper, we demonstrate using numerical solution, that as the wedge angle increases, bifurcation occurs in the nonlinear Blasi...
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The Blasius equation
The Blasius problem f ′′′ + ff ′′ = 0, f(0) = −a, f ′(0) = b, f ′(+∞) = λ is investigated, in particular in the difficult and scarcely studied case b < 0 λ. The shape and the number of solutions are determined. The method is first to reduce to the Crocco equation uu′′ + s = 0 and then to use an associated autonomous planar vector field. The most useful properties of Crocco solutions appear to b...
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ژورنال
عنوان ژورنال: Nonlinear Processes in Geophysics
سال: 2011
ISSN: 1607-7946
DOI: 10.5194/npg-18-171-2011