Evolution and Shape of Two-Dimensional Stokesian Drops under the Action of Surface Tension and Electric Field: Linear and Nonlinear Theory and Experiment

Langmuir ◽  
2021 ◽  
Vol 37 (39) ◽  
pp. 11429-11446
Author(s):  
Rafael Granda ◽  
Jevon Plog ◽  
Gen Li ◽  
Vitaliy Yurkiv ◽  
Farzad Mashayek ◽  
...  
Keyword(s):  
Surface Tension ◽  
Electric Field ◽  
Nonlinear Theory ◽  
Two Dimensional ◽  
Linear And Nonlinear ◽  
Theory And Experiment

Linear and nonlinear stability of floating viscous sheets

2011 ◽  
Vol 683 ◽  
pp. 112-148 ◽  
Author(s):  
G. Pfingstag ◽  
B. Audoly ◽  
A. Boudaoud
Keyword(s):  
Surface Tension ◽  
Surface Forces ◽  
Two Dimensional ◽  
Buckling Mode ◽  
Geometrical Nonlinearities ◽  
Flat Sheet ◽  
Long Time ◽  
Classical Models ◽  
Linear And Nonlinear ◽  
The Stability

AbstractWe study the stability of a thin, Newtonian viscous sheet floating on a bath of denser fluid. We first derive a general set of equations governing the evolution of a nearly flat sheet, accounting for geometrical nonlinearities associated with moderate rotations. We extend two classical models by considering arbitrary external body and surface forces; these two models follow from different scaling assumptions, and are derived in a unified way. The equations capture two modes of deformation, namely viscous bending and stretching, and describe the evolution of thickness, mid-surface and in-plane velocity as functions of two-dimensional coordinates. These general equations are applied to a floating viscous sheet, considering gravity, buoyancy and surface tension. We investigate the stability of the flat configuration when subjected to arbitrary in-plane strain. Two unstable modes can be found in the presence of compression. The first one combines undulations of the centre-surface and modulations of the thickness, with a wavevector perpendicular to the direction of maximum applied compression. The second one is a buckling mode; it is purely undulatory and has a wavevector along the direction of maximum compression. A nonlinear analysis yields the long-time evolution of the undulatory mode.

Nonlinear electroviscoelastic potential flow instability theory of two superposed streaming dielectric fluids

2014 ◽  
Vol 92 (10) ◽  
pp. 1249-1257 ◽  
Author(s):  
M.F. El-Sayed ◽  
N.T. Eldabe ◽  
M.H. Haroun ◽  
D.M. Mostafa
Keyword(s):  
Surface Tension ◽  
Electric Field ◽  
Potential Flow ◽  
Flow Instability ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Physical Parameters ◽  
Two Dimensional ◽  
Dielectric Fluids ◽  
Fluid Velocities

The nonlinear electrohydrodynamic Kelvin–Helmholtz instability of two superposed viscoelastic Walters B′ dielectric fluids in the presence of a tangential electric field is investigated in three dimensions using the potential flow analysis. The method of multiple scales is used to obtain a dispersion relation for the linear problem, and a nonlinear Ginzburg–Landau equation with complex coefficients for the nonlinear problem. The linear and nonlinear stability conditions are obtained and discussed both analytically and numerically. In the linear stability analysis, we found that the fluid velocities and kinematic viscosities have destabilizing effects, and the electric field, kinematic viscoelasticities, and surface tension have stabilizing effects; and that the system in the three-dimensional disturbances is more stable than in the corresponding case of two-dimensional disturbances. While in the nonlinear analysis, for both two- and three-dimensional disturbances, we found that the fluid velocities, surface tension, and kinematic viscosities have destabilizing effects, and the electric field, kinematic viscoelasticities have stabilizing effects, and that the system in the three-dimensional disturbances is more unstable than its behavior in the two-dimensional disturbances for most physical parameters except the kinematic viscosities.

Nonlinear optical properties related to intersubband transitions in asymmetrical double δ-doped GaAs; effects of an applied electric field

2012 ◽  
Vol 1479 ◽  
pp. 133-138
Author(s):  
K. A. Rodríguez-Magdaleno ◽  
J. C. Martínez-Orozco ◽  
I. Rodríguez-Vargas ◽  
M. E. Mora-Ramos ◽  
C.A. Duque
Keyword(s):  
Optical Properties ◽  
Electric Field ◽  
Nonlinear Optical ◽  
Nonlinear Optical Properties ◽  
Optical Absorption Coefficient ◽  
Two Dimensional ◽  
Intersubband Transitions ◽  
Nonlinear Optical Absorption ◽  
Index Changes ◽  
Linear And Nonlinear

ABSTRACTIn this work, we calculated the ground and first excited states of an electron confined in an asymmetric double DDQW system within a Gallium Arsenide (GaAs) matrix. The two-dimensional impurities density (N2d) considered in our calculation are within the range of 1012 to 1013 cm−2. We obtain the linear and nonlinear optical properties related to intersubband transitions as a function of the spacing between δ-doped wells, two-dimensional impurities concentrations as well as in presence of electric field. We reported results for the linear and nonlinear optical absorption coefficient and in the relative refractive index changes. Our results show that the asymmetry induced in the double δ-doped well system gives rise to values that are several orders of magnitude higher in the resonant peaks intensity.

A Nonlinear Theory of Sloshing in Rectangular Tanks

1974 ◽  
Vol 18 (04) ◽  
pp. 224-241 ◽  
Author(s):  
Odd M. Faltinsen
Keyword(s):  
Steady State ◽  
Power Series ◽  
Boundary Value Problem ◽  
Nonlinear Theory ◽  
Reasonable Agreement ◽  
Steady State Solution ◽  
State Solution ◽  
Two Dimensional ◽  
The Stability ◽  
Theory And Experiment

A two-dimensional, rigid, rectangular, open tank without baffles is forced to oscillate harmonically with small amplitudes of sway or roll oscillation in the vicinity of the lowest natural frequency for the fluid inside the tank. The breadth of the tank is 0(1) and the depth of the fluid is either 0(1) or in-finite. The excitation is 0(ε) and the response is 0(ε1/3). A nonlinear, inviscid boundary-value problem of potential flow is formulated and the steady-state solution is found as a power series in ε1/3 correctly to 0(ε). Comparison between theory and experiment shows reasonable agreement. The stability of the steady-state solution has been studied.

Biaxial strain, electric field and interlayer distance-tailored electronic structure and magnetic properties of two-dimensional g-C3N4/Li-adsorbed Cr2Ge2Te6 van der Waals heterostructures

2021 ◽  
Vol 23 (10) ◽  
pp. 6171-6181
Author(s):  
Yaoqi Gao ◽  
Baozeng Zhou ◽  
Xiaocha Wang
Keyword(s):  
Magnetic Properties ◽  
Electronic Structure ◽  
Electric Field ◽  
Van Der Waals ◽  
Interlayer Distance ◽  
Two Dimensional ◽  
Biaxial Strain ◽  
Van Der Waals Heterostructures

It is found that the biaxial strain, electric field and interlayer distance can effectively modulate the electronic structure and magnetic properties of two-dimensional van der Waals heterostructures.

Sign in / Sign up

Export Citation Format

Share Document