The Mathematical Model for the Secondary Breakup of Dropping Liquid
| Autor: | Szymon Woziwodzki, Ivan Pavlenko, Marcin Mrugalski, Maksym Serhiiovych Skydanenko, Izabela Kruszelnicka, Sylwia Włodarczak, Dobrochna Ginter-Kramarczyk, Oleksandr Oleksandrovych Liaposhchenko, Marek Ochowiak, Bernard Michałek, Vitalii Ivanov, Michał Doligalski, Radosław Olszewski, Vsevolod Ivanovych Sklabinskyi |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Control and Optimization
critical value Energy Engineering and Power Technology 02 engineering and technology 01 natural sciences lcsh:Technology 010305 fluids & plasmas Physics::Fluid Dynamics symbols.namesake oscillatory wall vibrational impact Weber number nonstable droplet 0103 physical sciences Electrical and Electronic Engineering Engineering (miscellaneous) Physics Mathematical model Renewable Energy Sustainability and the Environment Oscillation lcsh:T Multiphase flow Reynolds number Mechanics 021001 nanoscience & nanotechnology Breakup Critical value Vibration symbols 0210 nano-technology Energy (miscellaneous) |
| Zdroj: | Energies; Volume 13; Issue 22; Pages: 6078 Energies, Vol 13, Iss 6078, p 6078 (2020) |
| ISSN: | 1996-1073 |
| DOI: | 10.3390/en13226078 |
| Popis: | Investigating characteristics for the secondary breakup of dropping liquid is a fundamental scientific and practical problem in multiphase flow. For its solving, it is necessary to consider the features of both the main hydrodynamic and secondary processes during spray granulation and vibration separation of heterogeneous systems. A significant difficulty in modeling the secondary breakup process is that in most technological processes, the breakup of droplets and bubbles occurs through the simultaneous action of several dispersion mechanisms. In this case, the existing mathematical models based on criterion equations do not allow establishing the change over time of the process’s main characteristics. Therefore, the present article aims to solve an urgent scientific and practical problem of studying the nonstationary process of the secondary breakup of liquid droplets under the condition of the vibrational impact of oscillatory elements. Methods of mathematical modeling were used to achieve this goal. This modeling allows obtaining analytical expressions to describe the breakup characteristics. As a result of modeling, the droplet size’s critical value was evaluated depending on the oscillation frequency. Additionally, the analytical expression for the critical frequency was obtained. The proposed methodology was derived for a range of droplet diameters of 1.6–2.6 mm. The critical value of the diameter for unstable droplets was also determined, and the dependence for breakup time was established. Notably, for the critical diameter in a range of 1.90–2.05 mm, the breakup time was about 0.017 s. The reliability of the proposed methodology was confirmed experimentally by the dependencies between the Ohnesorge and Reynolds numbers for different prilling process modes. |
| Databáze: | OpenAIRE |
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