Testing linear marginal stability in stratified shear layers
نویسندگان
چکیده
منابع مشابه
Evolution of a stratified rotating shear layer with horizontal shear. Part I. Linear stability
Linear stability analysis is used to investigate instability mechanisms for a horizontally oriented hyperbolic tangent mixing layer with uniform stable stratification and coordinate system rotation about the vertical axis. The important parameters governing inviscid dynamics are maximum shear S, buoyancy frequency N, angular velocity of rotation Ω and characteristic shear thickness L. Growth ra...
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The notion of over-reflection has been used to rationalize the linear instability of shear flows that are directed and sheared in a horizontal plane but stratified and subject to rotation in the vertical. In the linear stability analysis of these types of flows, two types of critical levels may appear that translate to singular points in the corresponding differential eigenvalue problem. The fi...
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Presence of surface imperfections may have significant impact on the stability of the adjacent shear layer and on the laminar-turbulent transition process in this layer. The main objective of the present study is the quantitative assessment of such effects in the case of distributed surface roughness. The analysis is focused on the linear stability theory and considers asymptotic as well as tra...
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Howard’s semi-circle theorem [4] states that the complex wavespeed for an unstable mode must fall within the range of values of the base flow, a conclusion that has proven to be of fundamental importance for a wide variety of flow phenomena. Howard’s original proof applies to a two-dimensional basic state, u(z), where z is the vertical distance and u is the horizontal velocity, with two dimensi...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2018
ISSN: 0022-1120,1469-7645
DOI: 10.1017/jfm.2018.79