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Titlebook: IUTAM Symposium on Nonlinear Waves in Multi-Phase Flow; Proceedings of the I H.-C. Chang Conference proceedings 2000 Springer Science+Busin

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Coarsening Dynamics of Roll Wavesof us (HCC) entered the field after reading Steve’s clear exposition of the Benney equation for falling films. Due precisely to the film’s thinness, which Benney exploited in his longwave lubrication simplification, thin-film or shallow-water waves are typically dissipative and strongly nonlinear. A
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Experimental and Modeling Studies of Wave Occlusion and Evolution on Free Falling Viscous Films in ao 1250 cp were used. Pipe diameters were varied in the range 0.635 to 1.5875 cm. For each case, the critical liquid flow rate at which the free falling wavy annular flow transforms into slug flow due to wave occlusion was determined. The experimental results were correlated in terms of the liquid Re
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Weakly-Nonlinear Waves in Two-Layer Flows: Subcritical Bifurcationsncrease pressure drop and transport rates substantially. If longer wavelength waves form, these can grow to an amplitude large enough to cause roll waves or solitary waves, (which are the source of atomization) or for sufficiently deep layers, slugs.
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Interactions between Interfacial Travelling Waves and a Long Wave Mean Flow Mode in Two-Layer Couett long wave mode. This instability is generally subcritical and results in wave coalescence or nucleation, as the shear stress is increased or decreased. We propose an interpretation of the resulting hysteresis cycle based on the stability analysis of travelling wave solutions of a coupled set of two
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The Linear Stability of a Core Annular Flow in a Corrugated Tubebe wall and surrounds the other (core) fluid. Core annular flows are widely studied and employed as a useful model to analyze a number of technologies and problems of scientific interest such as oil recovery. The interfacial stability, however, can significantly affect the efficiency of the recovery
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Cusp Formation and Tip-Streaming Instabilities for Time-Evolving Interfaces in Two-Dimensional Stokeed. The role of constant as well as variable surface tension, induced by the presence of surfactant, is considered. For constant surface tension, a previously determined class of exact nearly cusped solutions is found to be linearly stable. However, for large capillary number . the steady solutions
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