A note on nonlinear stability of plane parallel shear flows
نویسندگان
چکیده
منابع مشابه
Global linear stability analysis of weakly non-parallel shear flows
The global linear stability of incompressible, two-dimensional shear flows is investigated under the assumptions that far-field pressure feedback between distant points in the flow field is negligible and that the basic flow is only weakly nonparallel, i.e. that its streamwise development is slow on the scale of a typical instability wavelength. This implies the general study of the temporal ev...
متن کاملSpatial Stability of Inviscid Homogeneous Parallel Shear Flows
In this paper the spatial instability of Kuo’s problem has been discussed. Some stability results have been established for 0 > r k . The spectrum of eigen values has been obtained.
متن کاملOn the Stability of Inviscid Parallel Shear Flows with a Free Surface
We consider the linear stability of inviscid parallel shear flow with a free surface. Gravity is included in the analysis, but surface tension is not. We focus on several specific profiles including Poiseuille flow and various profiles with inflection points. Instabilities are found in all the profiles we studied. At neutral limiting modes, the wave speed of the disturbance is equal to one of t...
متن کاملOn the Stability of Stratified Flows with a Horizontal Shear
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...
متن کاملViscoelastic Micropolar Convection Flows from an Inclined Plane with Nonlinear Temperature: A Numerical Study
An analytical model is developed to study the viscoelastic micropolar fluid convection from an inclined plate as a simulation of electro-conductive polymer materials processing with nonlinear temperature. Jeffery’s viscoelastic model is deployed to describe the non-Newtonian characteristics of the fluid and provides a good approximation for polymers. Micro-structural is one of the characteristi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2005
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2004.08.025