THREE-DIMENSIONAL INSTABILITY OF VISCOUS LIQUID SHEETS

1996 ◽  
Vol 6 (6) ◽  
pp. 649-665 ◽  
Author(s):  
E. A. Ibrahim ◽  
E. T. Akpan
Keyword(s):  
Viscous Liquid ◽  
Three Dimensional ◽  
Liquid Sheets ◽  
Dimensional Instability

Effects of liquid and air swirls on the three-dimensional instability of an annular viscous liquid sheet

Fuel ◽  
2021 ◽  
Vol 292 ◽  
pp. 120227
Author(s):  
Xin Hui ◽  
Weijia Qian ◽  
Yuzhen Lin ◽  
Chi Zhang ◽  
Jianchen Wang
Keyword(s):  
Viscous Liquid ◽  
Three Dimensional ◽  
Liquid Sheet ◽  
Dimensional Instability

Three-dimensional instability of an elliptic Kirchhoff vortex

1988 ◽  
Vol 23 (3) ◽  
pp. 356-360 ◽  
Author(s):  
V. A. Vladimirov ◽  
K. I. Il'in
Keyword(s):  
Three Dimensional ◽  
Dimensional Instability

Three-Dimensional Instability of Opposite Polarity Nonthermal Dusty Plasma

2019 ◽  
Vol 74 (2) ◽  
pp. 131-138
Author(s):  
E.K. El-Shewy ◽  
S.K. Zaghbeer ◽  
A.A. El-Rahman
Keyword(s):  
Growth Rate ◽  
Cyclotron Frequency ◽  
Three Dimensional ◽  
Dusty Plasmas ◽  
Opposite Polarity ◽  
Charge Ratio ◽  
Nonlinear Phenomena ◽  
Wave Instability ◽  
Direction Cosines ◽  
Dimensional Instability

AbstractNonlinearity properties of obliquely wave propagation and instability in collisionless magnetized nonthermal dusty plasmas containing fluid of negative-positive grains are investigated. Zakharov-Kuznetsov equation is obtained and the three-dimensional wave instability is studied. The parameters such as polarity charge ratio, cyclotron frequency and fast nonthermal effectiveness of the instability properties and growth rate are theoretically studied. It is found that both positive and negative soliton profiles are formed depending on the fraction ratio of electron-ion nonthermality. Also, the growth rate was dependent nonlinearly on the direction cosines, the cyclotron frequency and the positive (negative) grain charge ratio, but independent of the fractional ratio of electron-ion nonthermality. Present discussion may be very significant regarding the observations of nonlinear phenomena in space.

scholarly journals Three-Dimensional Instability of the Head of Gravity Currents

1999 ◽  
Vol 1999 (185) ◽  
pp. 119-125 ◽  
Author(s):  
Nobuhiro Baba ◽  
Yasunori Sakaguchi ◽  
Satomi Ito
Keyword(s):  
Three Dimensional ◽  
Gravity Currents ◽  
Dimensional Instability

Finite-amplitude three-dimensional instability of inviscid laminar boundary layers

1995 ◽  
Vol 290 ◽  
pp. 203-212
Author(s):  
Melvin E. Stern
Keyword(s):  
Three Dimensional ◽  
Streamwise Velocity ◽  
Finite Amplitude ◽  
Transition To Turbulence ◽  
Stream Velocity ◽  
Normal Velocity ◽  
Laminar Boundary Layers ◽  
Vertical Thickness ◽  
Layer Flow ◽  
Dimensional Instability

An inviscid laminar boundary layer flow Û(ŷ) with vertical thickness λy, and free stream velocity U is disturbed at time $\tcirc$ = 0 by a normal velocity $\vcirc$ and by a spanwise velocity ŵ([xcirc ],ŷ, $\zcirc$, 0) of finite amplitude αU, with spanwise ($\zcirc$) scale λz, and streamwise ([xcirc ]) scale λx = λz/α; the streamwise velocity û([xcirc ],ŷ,$\zcirc$,$\tcirc$) is initially undisturbed. A long wave λy/λz → 0) expansion of the Euler equations for fixed α and time scale $\tcirc$s = U−1λz/α results in a hyperbolic equation for Lagrangian displacements ŷ. Within the interval $\tcirc$ > $\tcirc$s of asymptotic validity, finite parcel displacements (O(λy)) with finite (O(U)) û fluctuations occur, independent of α no matter how small; the basic flow Û is therefore said to be unstable to streaky (λx [Gt ] λz) spanwise perturbations. The temporal development of the ('spot’) region in the (x,z) plane wherein inflected û profiles appear is computed and qualitatively related to observations of ‘breakdown’ and transition to turbulence in the flow over a flat plate. The maximum $\vcirc$([xcirc ],ŷ,$\zcirc$,$\tcirc$) increases monotonically to infinity as $\tcirc$ → $\tcirc$s.

Coronal energy release via ideal three-dimensional instability three-dimensional instability

2003 ◽  
Vol 32 (6) ◽  
pp. 1029-1034 ◽  
Author(s):  
R.B. Dahlburg ◽  
J.A. Klimchuk ◽  
S.K. Antiochos
Keyword(s):  
Energy Release ◽  
Three Dimensional ◽  
Dimensional Instability

scholarly journals Three-dimensional Instability in the Wake of a Pitching Foil

2015 ◽  
Vol 126 ◽  
pp. 223-227
Author(s):  
Jian Deng ◽  
Liping Sun ◽  
Xueming Shao
Keyword(s):  
Three Dimensional ◽  
Dimensional Instability
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