Slow Motion of a Porous Sphere Translating Along the Axis of a Circular Cylindrical Pore Subject to a Stress Jump Condition

• Published in: Transport in porous media Vol. 102; no. 1; pp. 91 - 109
• Main Authors: Saad, E. I., Faltas, M. S.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.03.2014; Springer; Springer Nature B.V
• Subjects: Boundary conditions; Brinkman model; Circularity; Civil Engineering; Classical and Continuum Physics; Collocation methods; Computational fluid dynamics; Coordinates; Cylindrical coordinates; Drag; Earth and Environmental Science; Earth Sciences; Earth, ocean, space; Engineering and environment geology. Geothermics; Exact sciences and technology; Fluid flow; Fourier transforms; Geotechnical Engineering & Applied Earth Sciences; Hydrocarbons; Hydrogeology; Hydrology. Hydrogeology; Hydrology/Water Resources; Incompressible flow; Industrial Chemistry/Chemical Engineering; Pollution, environment geology; Sedimentary rocks; Shape effects; Spherical coordinates; Viscous fluids; Normalized drag force; Circular cylindrical pore; Porous sphere; Stress jump; stress; models; interfaces; Fourier transformation; permeability; coordinates; hydrodynamics; transport; velocity; particles; boundary conditions; porous media; methodology

The coupled flow problem of an incompressible axisymmetrical quasisteady motion of a porous sphere translating in a viscous fluid along the axis of a circular cylindrical pore is discussed using a combined analytical–numerical technique. At the fluid–porous interface, the stress jump boundary condit...