Advances in Energy and Power(CEASE PUBLICATION) Vol. 2(2), pp. 13 - 20
DOI: 10.13189/aep.2014.020201
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Investigation of a Boundary Layer Flow near the Inflection Point of a Smooth Curve

J. Venetis ^*
School of Applied Mathematics and Physical Sciences, Section of Mechanics NTUA

ABSTRACT

In this paper, the author investigates a generic type of the two dimensional incompressible viscous boundary layer flows near the inflection point of a smooth curve. In particular, an approximate evaluation of velocity distribution in an "adjacent" region of the inflection point of this curve is derived. Here, it is a priory assumed that this point is unique. Besides, the flow field is supposed to be steady throughout and Prandtl's simplified assumptions for two dimensional boundary layer flows are also taken into consideration. Besides, if the cross – section of a structure can be simulated by such a curve one should denote that its inflection point is from technical aspect a very suitable place for emplacing a wind generator compared with the top of a curve, which is a stationary point, because if a wind generator was located on the top of a curve, it could be exhibited in unexpected strong blasts.

KEYWORDS
Dynamical System, Boundary Layer Flow, Inflection Point, ODE, Stability, Lyapunov's Criterion

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] J. Venetis , "Investigation of a Boundary Layer Flow near the Inflection Point of a Smooth Curve," Advances in Energy and Power(CEASE PUBLICATION), Vol. 2, No. 2, pp. 13 - 20, 2014. DOI: 10.13189/aep.2014.020201.

(b). APA Format:
J. Venetis (2014). Investigation of a Boundary Layer Flow near the Inflection Point of a Smooth Curve. Advances in Energy and Power(CEASE PUBLICATION), 2(2), 13 - 20. DOI: 10.13189/aep.2014.020201.