July 3-8, 2016
The flow past a porous sphere has extensive industrial and engineering applications, such as the flow of pulverized coals particulate during combustion, sedimentation of fine particulate suspensions, flow in porous beds etc. Several studies have been done about the flow past a porous body under different models and boundary conditions. The models used in their investigations can be divided into the following categories: (i) Adopting Darcy equation to describe the flow in porous media and Stokes equations to describe the flow in the free fluid with the continuity conditions of velocity and pressure at the interface or the Beavers-Joseph (BJ) interface conditions; (ii) Adopting the Darcy-Brinkman equation to describe the flow inside the porous region and Stokes equations to describe the flow in the free fluid region with interface conditions which are the continuity of velocity components and stresses at the interface or with the Ochoa-Tapia and Whitaker interface conditions, in which shearing stress jump at the interface is considered. However, most of researches just considered one-layer porous medium whether it was a porous sphere or a porous sphere containing a solid concentric spherical core or a concentric spherical cavity. P. D. Verma and B. S. Bhatt (1976) investigated the flow past a heterogeneous porous sphere with the Darcy model.
Please download the full abstract below.
Kun Yang, Xin Yan, and Kambiz Vafai, "Stokes flow past a two-layers heterogeneous porous sphere with the effect of stress jump condition: An exact solution" in "Sixth International Conference on Porous Media and Its Applications in Science, Engineering and Industry", ECI Symposium Series, (2016). https://dc.engconfintl.org/porous_media_vi/2