Journal
JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS
Volume 18, Issue 2, Pages 53-63Publisher
CZESTOCHOWA UNIV TECHNOLOGY, INST MATHEMATICS
DOI: 10.17512/jamcm.2019.2.05
Keywords
hydrodynamics; vibration impact; velocity field; complementary functions; regression analysis; infinite power series
Categories
Funding
- Ministry of Education and Science of Ukraine within the project Development and Implementation of Energy Efficient Modular Separation Devices for Oil and Gas Purification Equipment [0117U003931]
- National Scholarship Programme of the Slovak Republic
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The article is aimed at the development of the analytical approach for evaluating the parameters of the Basset force acting on a particle in two-dimensional fluid flow induced by the oscillating wall. By applying regression analysis, analytical expressions to determine complementary functions were established for evaluating the Basset force. The obtained dependencies were generalized using the infinite power series. As a result of studying the hydrodynamics of a two-phase flow, analytical dependencies to determine the Basset force were proposed for assessing its impact on particles of the dispersed phase in a plane channel with the oscillating wall. It was discovered that the Basset force affects larger particles. However, in the case of relatively large wavelengths, its averaged value for the vibration period is neglected. Additionally, the value of the Basset force was determined analytically for the case of relatively small wavelengths. Moreover, it was discovered that its impact can be increased by reducing the wavelength of the oscillating wall.
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