Effect of the permeability on the interaction between two spheres oscillating through Stokes-Brinkmann medium
Wedad Albalawi, Hala H. Taha, Shreen El‐Sapa
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.
Topics & Concepts
SPHERESStreamlines, streaklines, and pathlinesStokes flowLimitingMechanicsPermeability (electromagnetism)Rotational symmetryPhysicsAxis of symmetryClassical mechanicsSlip (aerodynamics)ChemistryThermodynamicsFlow (mathematics)Mechanical engineeringAstronomyMembraneEngineeringBiochemistryLattice Boltzmann Simulation StudiesFluid Dynamics and Vibration AnalysisNanofluid Flow and Heat Transfer