Mass balance equations typically adopted to describe tumor growth are to be closed by
introducing a suitable velocity field. The first part of this paper is devoted to a critical review …

The celebrated equations due to Fick and Darcy are approximations that can be obtained
systematically on the basis of numerous assumptions within the context of mixture theory; …

Biological tissue can be viewed as porous, permeable and deformable media infiltrated by
fluids, such as blood and interstitial fluid. A finite element model has been developed based …

Fluid-saturated materials are encountered in several areas of engineering and biological
applications. Geologic media saturated with water, oil and gas and biological materials such …

In this study we use a general thermodynamic framework which appeals to the criterion of
maximal rate of entropy production to obtain popular models due to Darcy and Brinkman …

Distress due to water induced damage and bleeding accelerates the failure of an asphalt
concrete pavement due to damage mechanisms such as fatigue cracking, rutting, stripping …

While Darcy's equations are adequate for studying a large class of flows through porous
media, there are several situations wherein it would be inappropriate to use Darcy's …

A numerical model is investigated representing counter-current spontaneous imbibition of
water to displace oil or gas from a core plug. The model is based on mass and momentum …

It is well known that the viscosity of fluids could vary by several orders of magnitude with
pressure. This fact is not usually taken into account in many important applications involving …

The standard Darcy model is based on a plethora of assumptions. One of the key
assumptions is that the drag coefficient is constant. However, there is irrefutable …