A macroscopic model for unsteady incompressible isothermal non-Newtonian flow in homogeneous porous media, taking into account inertial and slip effects at solid–fluid interfaces, is derived this work. The development carried out considering a general Newton’s law of viscosity the fluid phase. Using classical volume averaging method, seepage velocity shown to be solenoidal. momentum equation La...

Rendering participating media with multiple scattering is costly and often even challenging for off-line methods. In this paper we present a novel method for efficiently rendering such effects that achieves interactive speed for dynamic scenes with both homogeneous and heterogeneous media. It is based on instant radiosity, which is typically used to approximate indirect illumination between sur...

Depth dependent broadening of the axial point spread function due to dispersion in the imaged media, and algorithms for postprocess correction, have been previously described for both time domain and frequency domain optical coherence tomography. We show that homogeneous media dispersion artifacts disappear when frequency domain samples are acquired with uniform spacing in circular wavenumber, ...

Abstract We propose a new way of imagining and measuring opinions emerging from social media. As people tend to connect with like-minded others express in response current events on media, media public opinion is naturally occurring, temporally sensitive, inherently social. Our framework for first samples targeted nodes large graph identifies homogeneous, interactive, stable networks actors, wh...

A three-dimensional (3-D) finite-difference time-domain (FDTD) scheme is introduced to model the scattering from objects in continuous random media. FDTD techniques have been previously applied to scattering from random rough surfaces and randomly placed objects in a homogeneous background, but little has been done to simulate continuous random media with embedded objects where volumetric scatt...

Chondrocytes are the living cells in articular cartilage (AC). They synthesize and maintain the extracellular matrix. Their activity is regulated by the interplay of genetic and environmental factors, such as soluble mediators, extracellular matrix composition, and mechanical factors. The mechanical environment of the chondrocytes has a significant influence on the health of the joint. In past ...

In the present paper, an asymptotic model is constructed for the short-time deformation of an articular cartilage layer modeled as transversely isotropic, transversely homogeneous (TITH) biphasic material. It is assumed that the layer thickness is relatively small compared with the characteristic size of the normal surface load applied to the upper surface of the cartilage layer, while the bott...

Abstract The occurrence of fingered preferential flow depends on both flow and porous media characteristics. The boundary condition of unsaturated infiltration has been investigated to assess whether it produces unstable wetting in homogeneous coarse sands. Laboratory tracer experiments were conducted in two coarse sand materials; for each sand material two initial conditions of air dry and fie...