The influence of two-dimensional temperature modulation on nonlinear Marangoni waves in two-layer films

2018 ◽  
Vol 846 ◽  
pp. 944-965 ◽  
Author(s):  
Alexander A. Nepomnyashchy ◽  
Ilya B. Simanovskii
Keyword(s):  
Nonlinear Dynamics ◽  
Wave Equations ◽  
Flow Regimes ◽  
Solid Substrate ◽  
Temperature Modulation ◽  
Two Dimensional ◽  
Periodic Flows ◽  
Long Wave ◽  
Nonlinear Simulations ◽  
Time Periodic

The nonlinear dynamics of waves generated by the deformational oscillatory Marangoni instability in a two-layer film under the action of a two-dimensional temperature modulation on the solid substrate is considered. A system of long-wave equations governing the deformations of the upper surface and the interface between the liquids is presented. The long-wave approach is applied. The nonlinear simulations reveal the existence of different dynamic regimes, including stationary, time-periodic and quasi-periodic flows. The general diagrams of the flow regimes are constructed.

Marangoni waves in two-layer films under the action of spatial temperature modulation

2016 ◽  
Vol 805 ◽  
pp. 322-354 ◽  
Author(s):  
Alexander A. Nepomnyashchy ◽  
Ilya B. Simanovskii
Keyword(s):  
Wave Equations ◽  
Travelling Waves ◽  
Three Dimensional ◽  
Standing Waves ◽  
Solid Substrate ◽  
Temperature Modulation ◽  
Stationary Flows ◽  
Long Wave ◽  
Dynamical Regimes ◽  
Spatial Temperature

The nonlinear dynamics of waves generated by the deformational oscillatory Marangoni instability in a two-layer film under the action of a spatial temperature modulation on the solid substrate is considered. A system of long-wave equations governing the deformations of the upper surface and the interface between the liquids is derived. The nonlinear simulations reveal the existence of numerous dynamical regimes, including two-dimensional stationary flows and standing waves, three-dimensional standing waves with different spatial periods, and three-dimensional travelling waves. The general diagram of the flow regimes is constructed.

On resonance of an offshore channel bounded by a reef

1981 ◽  
Vol 32 (6) ◽  
pp. 833 ◽  
Author(s):  
VT Buchwald ◽  
JW Miles
Keyword(s):  
Wave Equations ◽  
Amplification Factor ◽  
Dominant Mode ◽  
Two Dimensional ◽  
Barrier Reef ◽  
Reef Lagoon ◽  
Long Wave ◽  
Frictional Damping ◽  
Linear Friction ◽  
Western Australian

The period and amplification factor for the dominant mode in a channel formed by the shore and a submerged parallel reef (which separates the channel from deeper water) are calculated from the two- dimensional long-wave equations with linear friction. Results are obtained for both narrow and wide reefs and are compared with observed oscillations on the Western Australian coast and on the Barrier Reef. Although the calculated periods might explain the anomalous tides in the Barrier Reef lagoon. it seems that there is sufficient frictional damping to prevent the required amplification.

The Generalisation of Integrable (2+1)-Dimensional Dispersive Long-Wave Equations

1997 ◽  
Vol 66 (5) ◽  
pp. 1288-1290 ◽  
Author(s):  
Thangavel Alagesan ◽  
Ambigapathy Uthayakumar ◽  
Kuppusamy Porsezian
Keyword(s):  
Wave Equations ◽  
Long Wave

Nonlinear dynamics of a two dimensional airfoil with freeplay in an inviscid compressible flow

2000 ◽  
Vol 4 (2) ◽  
pp. 125-133 ◽  
Author(s):  
Zoran Dimitrijević ◽  
Guy Daniel Mortchéléwicz ◽  
Fabrice Poirion
Keyword(s):  
Nonlinear Dynamics ◽  
Compressible Flow ◽  
Two Dimensional ◽  
Inviscid Compressible Flow
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