Basset history force for spherical particle colliding with wall

0329721 - ÚH 2010 RIV RU eng C - Conference Paper (international conference)
Lukerchenko, Nikolay
Basset history force for spherical particle colliding with wall.
MMTT-22: Matematicheskije Metody v Nauke i Technologijach. Pskov: PGPI, 2009, s. 15-17. ISBN 978-5-91116-096-5.
[Mezhdunarodnajanauchnaja konferencija Matematicheskije metody v nauke i technologijach /22./. Pskov (RU), 25.05.2009-30.05.2009]
R&D Projects: GA ČR GA103/09/1718
Institutional research plan: CEZ:AV0Z20600510
Keywords : multiphase flow * Basset force * particle-wall collision
Subject RIV: BK - Fluid Dynamics

In the most works the calculation of the Basset force is reset to zero after each rebound from the wall. However, the integral of Basset force is sometimes calculated from the moment t-Tback to the current moment t. A few particle jumps can occur during “the memory time period” Tback , the history of the particle motion during this period must be taken into account totally, including the particle–wall collisions. In the paper the contributions of the particle–wall collisions in the Basset force are expressed by formula. It is shown that in the moment of the collision tc the value of the Basset force becomes infinitely large. In the moment near the collision t = tc+ Δ t (Δ t < tc) the value of the Basset force is great but the impulse of the Basset force has the order of , i.e. small. Thus, a particle-wall collision brings to a peak the increase of the Basset force during the short time so that its impulse remains finite. It must be taken into account into numerical models.
Permanent Link: http://hdl.handle.net/11104/0175675