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Hydrodynamic Stability of a Laminar Boundary Layer with Transverse Curvature Effect
Author(s) -
Rao G. N. V.
Publication year - 1967
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19670470703
Subject(s) - curvature , transverse plane , laminar flow , boundary layer , radius of curvature , mechanics , radius , physics , cylinder , boundary (topology) , blasius boundary layer , boundary layer thickness , flow (mathematics) , linear stability , reynolds number , rotational symmetry , geometry , boundary layer control , external flow , mathematics , mean curvature , mathematical analysis , mean curvature flow , turbulence , instability , computer security , structural engineering , computer science , engineering
A study of the hydrodynamic stability of the boundary layer with transverse curvature has been made on the basis of linear theory. Defining ζ as the transverse curvature parameter, (essentially the ratio of boundary layer thickness to the radius of transverse curvature), it is found that axisymmetric mode of disturbance is the most critical up to O(ζ). The transverse curvature itself is found to be destabilizing but the velocity profile due to it can in certain cases make the flow stable. In fact, for the boundary layer flow on a circular cylinder moving axially, it is found that all small disturbances will be damped out if the Reynolds number based on the radius is less than about 11 000.