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1 Journal of Applied Mathematics and Computational Mechanics

1 2019

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Parameter identification of the basset force acting on particles in fluid flow induced by the oscillating wall

Pavlenko Ivan, Liaposhchenko Oleksandr, Pitel Jan, Sklabinskyi Vsevolod

Journal of Applied Mathematics and Computational Mechanics

2019

Vol. 18, nr 2

53--63

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.