Stability of spatially developing boundary layers 13;

Govindarajan, Rama (1993) Stability of spatially developing boundary layers 13;. In: Proceedings of the Fluid Dynamics Symposium in Honour of Professor R. Narasimha on his 60th Birthday, 9 Jul 1993, Sikkim, India.

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    Abstract

    A new formulation of the stability of boundary-layer flows in pressure gradients is presented, taking into account the spatial development of the flow. The formulation assumes that disturbance wavelength and eigenfunction vary downstream no more rapidly than the boundary-layer thickness, and includes all terms of 0(1) and 0(R to the power of -1) in the boundary-layer Reynolds number R. Although containing the Orr-Sommerfeld operator, the present approach does not yield the Orr-Sommerfeld equation13; in any rational limit. In Blasius flow, the present stability equation is consistent with that of Bertolotti et al. (1992) to terms of 0(R to the power of -1). For the Falkner-Skan similarity solutions neutral boundaries are computed without the necessity of having to march in space. Results show that the effects of spatial growth are striking in flows subjected to adverse pressure gradients.

    Item Type: Conference or Workshop Item (Paper)
    Uncontrolled Keywords: Boundary layer flow;Boundary layer stability;Boundary layer transition;Computational fluid dynamics;Falkner-skan equation;Orr-sommerfeld equations;Two dimensional flow; Blasius flow;Eigenvectors;Navier-stokes equation;Pressure gradients;Reynolds number;Thickness
    Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
    Division/Department: Computational and Theoretical Fluid Dynamics Division
    Depositing User: Mr. Ravikumar R
    Date Deposited: 19 Oct 2006
    Last Modified: 24 May 2010 09:52
    URI: http://nal-ir.nal.res.in/id/eprint/3147

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