Effect of the permeability on the interaction between two spheres oscillating through Stokes-Brinkmann medium.
Heliyon 2023;
9:e14396. [PMID:
36950582 PMCID:
PMC10025905 DOI:
10.1016/j.heliyon.2023.e14396]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2022] [Revised: 03/27/2022] [Accepted: 03/02/2023] [Indexed: 03/17/2023] Open
Abstract
The effect of permeability on the rectilinear oscillations of two rigid spheres moving through an unbounded viscous fluid about their axis of symmetry with no slip is investigated. A collocation technique was employed to execute the conditions on the surfaces of the rigid spheres. The in-phase and out-phase forces are obtained and expressed graphically for various parameters. In addition, the streamlines are plotted for different relevant parameters. The limiting cases of Stokes and Darcy's flows are discussed.
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