Viscous flow past a porous sphere with an impermeable core : effect of stress jump condition

Numerical simulation on steady flow around and through a porous sphere

“…This model, however, is deemed to be adequate to yield meaningful results to reveal the underlying physics behind the flow behaviour as well as for the purpose of relative comparison between the cases at different parameter ranges. On the other hand, the results in literature (Alazmi and Vafai, 2001;Bhattacharyya and Sekhar, 2004;Bhattacharyya, 2010) and the present simulation showed that the porous-fluid interface condition has noticeable effect on the flow. Thus, the deviation at high Reynolds number may be caused by the porous-fluid interface boundary condition adopted by the present simulation but not the model itself.…”

“…Brinkman model was used for the porous medium and the stress jump condition (Ochoa-Tapia and Whitaker, 1995a) was imposed at the porous-fluid interface. Their results (Bhattacharyya and Sekhar, 2004) indicated that the stress jump coefficient has a significant effect on the drag and torque acting on the surface of porous sphere with a solid core for different basic flows, e.g. uniform flow, two dimensional irrotational flow, doublet in a uniform flow, stokeslet, rotlet.…”

“…Hsu et al (2004) applied the Brinkman model to govern the porous flow and the viscous effect in the porous region was revealed. Bhattacharyya and Sekhar (2004) investigated the Stokes flow past a porous sphere with an impermeable core. Brinkman model was used for the porous medium and the stress jump condition (Ochoa-Tapia and Whitaker, 1995a) was imposed at the porous-fluid interface.…”

Effect of stress-jump condition on electrophoretic behavior of a spherical dispersion of soft particles

“…In a study of twodimensional viscous flow, Raja Sekhar and Sano [16] adopted the stress-jump condition of Ochoa-Tapia and Whitaker [13], and found that the value of the stress-jump coefficient ranged from about −0.9 to 0.9. Bhattacharyya and Raja Sekhar [17] investigated the relation between the stress-jump condition and various types of viscous flow by considering a spherical particle comprising a rigid core and a porous shell and concluded that taking the stress-jump condition into account was necessary.…”

Stokes flow of an assemblage of porous particles: stress jump condition

“…At the porous-liquid interface, we use the stress jump condition that has been proposed by Ochoa-Tapia et al [15,16]. This has been widely used in various models [17][18][19][20][21]. Ochoa-Tapia et al [15,16] reasoned that due to spatial changes of the local porous structure that characterize the interface region, the macroscopic conservation equations in both homogeneous fluid and porous regions may not be satisfied.…”