A Stability Investigation of Two-Dimensional Surface Waves on Evaporating, Isothermal or Condensing Liquid Films: Part I — Thermal Non-Equilibrium Effects on Wave Velocity

2004 ◽  
Author(s):  
Chunxi Li ◽  
Xuemin Ye
Keyword(s):  
Wave Velocity ◽  
Temporal Stability ◽  
Reynolds Numbers ◽  
Liquid Films ◽  
Two Dimensional ◽  
Stability Equation ◽  
Equilibrium Conditions ◽  
Inclined Angle ◽  
Prandtl Boundary Layer ◽  
Non Equilibrium

When the liquid film is in the process of evaporation or condensation, the interfacial thermal non-equilibrium conditions are evidently different from that of isothermal film, and this difference will affect the flow stability and wave velocity of thin liquid films. The temporal stability equation of the two-dimensional traveling waves of evaporating or condensing liquid films falling down an inclined wall is established based on the Prandtl boundary layer theory and complete boundary conditions. The effects on wave velocity of evaporating, isothermal and condensing states, thermocapillarity, Reynolds number, fluid property and inclined angle are discussed, and are compared in different Reynolds numbers.

A Stability Investigation of Two-Dimensional Surface Waves on Evaporating, Isothermal or Condensing Liquid Films: Part III — Temporal Stability of Traveling Waves

2004 ◽  
Author(s):  
Xuemin Ye ◽  
Chunxi Li ◽  
Weiping Yan
Keyword(s):  
Reynolds Number ◽  
Inclination Angle ◽  
Traveling Waves ◽  
Film Flow ◽  
Temporal Stability ◽  
Liquid Films ◽  
Flow Stability ◽  
Condensation Process ◽  
Two Dimensional ◽  
Inclined Angle

The temporal stability equation of the two-dimensional traveling waves of evaporating or condensing liquid films falling down an inclined wall is established based on the Prandtl boundary layer theory and complete boundary conditions. By investigating the flow temporal characteristics curves, including the stability curves and stability curves of the fastest wave, the effects on flow stability of evaporating, isothermal and condensing states, thermocapillarity, Reynolds number, fluid property and inclined angle are discussed, and are compared in different Reynolds numbers. The theoretical study indicated that evaporation process destabilizes the film flow and condensation process stabilizes the film flow, the thermocapillarity take a destabilizing effect in evaporation condition and an adverse effect in condensation condition. Present study indicates that the temporal growth rate increases with increase of the Reynolds number and inclination angle, and decreases with increase of Ka numbers. And the effects on flow stability of liquid properties and inclination angle are always significant.

A Stability Investigation of Two-Dimensional Surface Waves on Evaporating, Isothermal or Condensing Liquid Films: Part II — A Universal Linear Stability Formulation

2004 ◽  
Author(s):  
Xuemin Ye ◽  
Weiping Yan ◽  
Chunxi Li
Keyword(s):  
Reynolds Number ◽  
Surface Waves ◽  
Isothermal Condition ◽  
Reynolds Numbers ◽  
Liquid Films ◽  
Neutral Stability ◽  
Two Dimensional ◽  
Lower Reynolds Number ◽  
Liquid Property ◽  
Dimensional Surface

When liquid film is under evaporating or condensing conditions, the flow stability is clearly different to that under isothermal condition due to thermal non-equilibrium effect at interface, especially under lower Reynolds number. The universal linear temporal and spatial stability formulations of the two-dimensional surface waves on evaporating or isothermal or condensing liquid films are established in present paper with the collocation method based on the boundary layer theory and complete boundary conditions. The models include the effects of Reynolds number, thermocapillarity, inclination angle, liquid property, evaporation, isothermal or condensation. The effects of above factors are investigated with the neutral stability curves at different Reynolds numbers, and stabilities characteristics are fully indicated in theory for evaporating or condensing films.

Linear Stability of Two-Dimensional Stationary Waves on Evaporating or Condensing Liquid Films

2003 ◽  
Author(s):  
Xuemin Ye ◽  
Weiping Yan
Keyword(s):  
Boundary Layer ◽  
Reynolds Number ◽  
Film Thickness ◽  
Boundary Conditions ◽  
Liquid Films ◽  
Boundary Layer Theory ◽  
Stationary Waves ◽  
Two Dimensional ◽  
Stability Equation ◽  
Liquid Property

The linear spatial stability equation of the two-dimensional stationary waves of evaporating or isothermal or condensing liquid films falling down an inclined wall is established for the film thickness with the collocation method based on the boundary layer theory and complete boundary conditions. This model includes the effects of Reynolds number, thermocapillarity, inclination angle, liquid property, evaporation, isothermal or condensation. The stabilities characteristics of stationary waves are fully indicated in theory for evaporating or condensing films.

Nonlinear waves in twirling plasmas

2009 ◽  
Vol 75 (6) ◽  
pp. 817-828 ◽  
Author(s):  
A. R. KARIMOV
Keyword(s):  
Equilibrium State ◽  
Nonlinear Waves ◽  
Initial Conditions ◽  
Plasma Waves ◽  
Two Dimensional ◽  
Equilibrium Conditions ◽  
Cylindrical Plasma ◽  
Hydrodynamic Approach ◽  
Two Fluid ◽  
Non Equilibrium

AbstractThe dynamics of nonlinear two-dimensional plasma waves under non-equilibrium conditions is studied in the framework of the two-fluid hydrodynamic approach. The field of initial velocities for a twirling cylindrical plasma is considered as the initial non-equilibrium state. The influence of initial conditions on the formation and existence of nonlinear electron waves is discussed.

Two-Dimensional Bed Variation Models Under Non-equilibrium Conditions in Turbulent Streams

2016 ◽  
Vol 42 (3) ◽  
pp. 999-1011 ◽  
Author(s):  
Amin Gharehbaghi ◽  
Birol Kaya ◽  
Hamid Saadatnejadgharahassanlou
Keyword(s):  
Two Dimensional ◽  
Equilibrium Conditions ◽  
Non Equilibrium

scholarly journals A time-domain phase diagram of metastable states in a charge ordered quantum material

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Jan Ravnik ◽  
Michele Diego ◽  
Yaroslav Gerasimenko ◽  
Yevhenii Vaskivskyi ◽  
Igor Vaskivskyi ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Time Domain ◽  
Metastable States ◽  
Scanning Tunneling ◽  
Photon Density ◽  
Tunneling Microscopy ◽  
Equilibrium Conditions ◽  
Time Resolved ◽  
A Charge ◽  
Non Equilibrium

AbstractMetastable self-organized electronic states in quantum materials are of fundamental importance, displaying emergent dynamical properties that may be used in new generations of sensors and memory devices. Such states are typically formed through phase transitions under non-equilibrium conditions and the final state is reached through processes that span a large range of timescales. Conventionally, phase diagrams of materials are thought of as static, without temporal evolution. However, many functional properties of materials arise as a result of complex temporal changes in the material occurring on different timescales. Hitherto, such properties were not considered within the context of a temporally-evolving phase diagram, even though, under non-equilibrium conditions, different phases typically evolve on different timescales. Here, by using time-resolved optical techniques and femtosecond-pulse-excited scanning tunneling microscopy (STM), we track the evolution of the metastable states in a material that has been of wide recent interest, the quasi-two-dimensional dichalcogenide 1T-TaS2. We map out its temporal phase diagram using the photon density and temperature as control parameters on timescales ranging from 10−12 to 103 s. The introduction of a time-domain axis in the phase diagram enables us to follow the evolution of metastable emergent states created by different phase transition mechanisms on different timescales, thus enabling comparison with theoretical predictions of the phase diagram, and opening the way to understanding of the complex ordering processes in metastable materials.

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