On the instability of periodic shear flow of weakly stratified fluid

1986 ◽  
Vol 33 (12) ◽  
pp. 997
Keyword(s):  
1978 ◽  
Vol 19 (1) ◽  
pp. 77-86 ◽  
Author(s):  
J. A. Adam

Using the stationary equilibrium energy principle a sufficient condition is obtained for the stability of a compressible stratified fluid with a non-uniform horizontal magnetic field, with an aligned shear flow. The condition is used to provide a simple generalization of a known result for a specific atmospheric model.


1986 ◽  
Vol 38 (1) ◽  
pp. 76-87 ◽  
Author(s):  
Siavash Narimousa ◽  
Robert R. Long ◽  
Sergei A. Kitaigorodskii

2016 ◽  
Vol 794 ◽  
pp. 17-44 ◽  
Author(s):  
Karima R. Khusnutdinova ◽  
Xizheng Zhang

Oceanic waves registered by satellite observations often have curvilinear fronts and propagate over various currents. In this paper we study long linear and weakly nonlinear ring waves in a stratified fluid in the presence of a depth-dependent horizontal shear flow. It is shown that, despite the clashing geometries of the waves and the shear flow, there exists a linear modal decomposition (different from the known decomposition in Cartesian geometry), which can be used to describe distortion of the wavefronts of surface and internal waves, and systematically derive a $2+1$-dimensional cylindrical Korteweg–de Vries-type equation for the amplitudes of the waves. The general theory is applied to the case of the waves in a two-layer fluid with a piecewise-constant current, with an emphasis on the effect of the shear flow on the geometry of the wavefronts. The distortion of the wavefronts is described by the singular solution (envelope of the general solution) of the nonlinear first-order differential equation, constituting generalisation of the dispersion relation in this curvilinear geometry. There exists a striking difference in the shapes of the wavefronts of surface and interfacial waves propagating over the same shear flow.


1968 ◽  
Vol 32 (4) ◽  
pp. 693-704 ◽  
Author(s):  
S. A. Thorpe

When the end of a long closed horizontal tube containing a stratified fluid is raised, a laminar accelerating flow begins. The flow is two-dimensional in the central portion of the tube, and, in this region, it is predictable, at least until the onset of instability. The occurrence of instability, its nature, and the subsequent transition to turbulence, are described qualitatively. The apparatus may be used for the study of a variety of other internal hydraulic phenomena with applications to meteorology and oceanography.


2016 ◽  
pp. 102-107 ◽  
Author(s):  
Gennadiy Chernykh ◽  
Gennadiy Chernykh ◽  
Anzhella Fomina ◽  
Anzhella Fomina

A numerical model is constructed and dynamics of the cylindrical localized area of turbulent disturbances (turbulent spot) in a longitudinal horizontally homogeneous shear flow of a passive stratified fluid is studied. The results of calculations show a significant turbulent energy generation by shear flo . The problem of flow similarity with respect to the shear Froude number for sufficiently large values of this parameter is considered.


1986 ◽  
Vol 38A (1) ◽  
pp. 76-87 ◽  
Author(s):  
SIAVASH NARIMOUSA ◽  
ROBERT R. LONG ◽  
SERGEI A. KITAIGORODSKII

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