Periodic Waves and Ligaments on the Surface of a Viscous Exponentially Stratified Fluid in a Uniform Gravity Field

Chashechkin, Yu. D.; Очиров, А. А.

doi:10.3390/axioms11080402

Cited by 22 publications

(11 citation statements)

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“…The complete dispersion relation for waves and ligaments in a viscous exponentially stratified fluid was analyzed in [84]. Regular solutions of the linearized system (1) and relations (2) describe surface gravitational-capillary waves.…”

Section: Basic Dimensional and Dimensionless Parameters Of The Drop I...mentioning

confidence: 99%

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Intrusive and Impact Modes of a Falling Drop Coalescence with a Target Fluid at Rest

Chashechkin

Ilinykh

2023

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The evolution of the falling drop substance transfer in a target fluid at rest was traced by high-speed video techniques. Two flow modes were studied: slow intrusive flow, when the KE of the drop was comparable or less than the available potential energy (APSE), and a fast impact flow, at a relatively high drop contact velocity. For the substance transfer visualization, a drop of alizarin ink solution at various concentrations was used. The use of transparent partially colored fluid allows tracing the drop matter motion in the bulk and on the fluid free surface. The traditional side and frontal view of flow patterns were registered and analyzed. In both flow modes, the substance of the drop partially remained on the free surface and partially went into the target fluid bulk, where it was distributed non-uniformly. In the intrusive mode, the drop substance partially remained on the surface, while the main mass of the drop flowed into the thickness of the target fluid, forming the lenticular colored domain. The intrusion was gradually transformed into an annular vortex. In the impact mode, the drop broke up into individual fibers during the coalescence, creating linear and reticular structures on the surface of the cavity and the crown. The flow patterns composed of individual fibers were rapidly rebuilt as the flow evolved and the splash emerged and decayed. The sizes of cavities and colored fluid domains were compared in different flow regimes as well. The total energy transfer and transformation impact on the flow structure formation and dynamics was revealed.

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Section: Basic Dimensional and Dimensionless Parameters Of The Drop I...mentioning

confidence: 99%

“…In the process of structural rearrangement, new groups of capillary waves [75,76] and thin flows that are ligaments complementing the waves [84] appear in the flow pattern.…”

Section: Introductionmentioning

confidence: 99%

Intrusive and Impact Modes of a Falling Drop Coalescence with a Target Fluid at Rest

Chashechkin

Ilinykh

2023

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“…In periodic flows, regular solutions describe waves, and singular solutions describe the accompanying components that are fibers and highly gradient interfaces forming the fine structure of the medium. The complete dispersion relations for surface waves and ligaments in a viscous stratified liquid are given in [71]. The analysis of the intrinsic scales of singular solutions complementing inertial, internal, acoustic and hybrid waves in the fluid thickness is carried out in [72].…”

Section: Introductionmentioning

confidence: 99%

“…The fine components of flows (fibers or jets, trickles) are formed as a result of the internal or available potential surface energy conversion into other forms. They are described by singular solutions of the fundamental equations system [71,72].…”

Section: Introductionmentioning

confidence: 99%

Fine Flow Structure at the Miscible Fluids Contact Domain Boundary in the Impact Mode of Free-Falling Drop Coalescence

Chashechkin,

Ilinykh

2023

Fluids

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Registration of the flow pattern and the matter distribution of a free falling liquid drop in a target fluid at rest in the impact mode of coalescence when the kinetic energy (KEn) of the drop exceeds its available surface potential energy (ASPe) was carried out by photo and video recording. We studied the evolution of the fine flow structure at the initial stage of the cavity formation. To carry out color registration, the observation field was illuminated by several matrix LED and fiber-optic sources of constant light. The planning of experiments and interpretation of the results were based on the properties of the complete solutions of the fundamental equations of a fluid mechanics system, including the transfer and conversion of energy processes. Complete solutions of the system of equations describe large-scale flow components that are waves or vortices as well as thin jets (ligaments, filaments, fibers, trickles). In experiments, the jets are accelerated by the converted available surface potential energy (ASPe) when the free surfaces of merging fluids were eliminated. The experiments were performed with the coalescence of water, solutions of alizarin ink, potassium permanganate, and copper sulfate or iron sulfate drops in deep water. In all cases, at the initial contact, the drop begins to lose its continuity and breaks up into a thin veil and jets, the velocity of which exceeds the drop contact velocity. Small droplets, the size of which grows with time, are thrown into the air from spikes at the jet tops. On the surface of the liquid, the fine jets leave colored traces that form linear and reticular structures. Part of the jets penetrating through the bottom and wall of the cavity forms an intermediate covering layer. The jets forming the inside layer are separated by interfaces of the target fluid. The processes of molecular diffusion equalize the density differences and form an intermediate layer with sharp boundaries in the target fluid. All noted structural features of the flow are also visualized when a fresh water drop isothermally spreads in the same tap water. Molecular diffusion processes gradually smooth out the fast-changing boundary of merging fluids, which at the initial stage has a complex and irregular shape. Similar flow patterns were observed in all performed experiments; however, the geometric features of the flow depend on the individual thermodynamic and kinetic parameters of the contacting fluids.

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“…В исследовании [2] исследованы особенности волновых движений, возникающих на границе раздела невязких стратифицированных сред. Работы [3,4] посвящены периодическим движениям в вязких жидкостях. В модели вязкой среды в дисперсионных соотношениях помимо волнового движения можно выделить компоненты, отвечающие тонкой структуре течения -лигаментам, описывающим тонкие струи, сопровождающие волны на всех этапах существования.…”

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Периодические Течения В Концентрационно-Стратифицированной Несжимаемой Вязкой Жидкости

Очиров

2023

MFS

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Изучение поверхностных периодических течений актуально с точки зрения академических и технологических приложений. Современные экспериментальные исследования обнаруживают тонкую сложную структуру течения, сопровождающую капиллярные и капиллярно-гравитационные волны. В работе [1] исследовано волновое течение в идеальной стратифицированной среде. В исследовании [2] исследованы особенности волновых движений, возникающих на границе раздела невязких стратифицированных сред. Работы [3,4] посвящены периодическим движениям в вязких жидкостях. В модели вязкой среды в дисперсионных соотношениях помимо волнового движения можно выделить компоненты, отвечающие тонкой структуре течения -лигаментам, описывающим тонкие струи, сопровождающие волны на всех этапах существования. В настоящем исследовании рассматриваются вязкие стратифицированные жидкости, стратификация которых связана с неоднородным 1 Работа выполнена по теме государственного задания (№ госрегистрации 123021700044-0)

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Periodic Waves and Ligaments on the Surface of a Viscous Exponentially Stratified Fluid in a Uniform Gravity Field

Cited by 22 publications

References 60 publications

Intrusive and Impact Modes of a Falling Drop Coalescence with a Target Fluid at Rest

Intrusive and Impact Modes of a Falling Drop Coalescence with a Target Fluid at Rest

Fine Flow Structure at the Miscible Fluids Contact Domain Boundary in the Impact Mode of Free-Falling Drop Coalescence

Периодические Течения В Концентрационно-Стратифицированной Несжимаемой Вязкой Жидкости

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