abstract at present study constant rate of strain (crs) consolidation under non-darcy condition was investigated. in this study a governing conditions of drainage pore water were investigated using proposed equation. the crs experiments under different rates of strain were conducted on different soil samples. results these experiments and there comparison with proposed equation showed that flow...

The effect of pore-scale heterogeneity on non-Darcy flow behaviour is investigated by means of direct flow simulations on 3-D images of a beadpack, Bentheimer sandstone and Estaillades carbonate. The critical Reynolds number indicating the cessation of the creeping Darcy flow regime in Estaillades carbonate is two orders of magnitude smaller than in Bentheimer sandstone, and is three orders of ...

The clarification on the collapse mechanism of a caisson breakwater has been an urgent task in order to reduce damages caused by next millennium tsunamis. In this study, piping destruction of a mound induced by seepage flow is taken into consideration solely. A stabilized ISPH method proposed by Asai (2012) is adopted with some modification associated with the extended Darcy law (Akbari 2013, 2...

This paper describes the long wave scattering effect in gas saturated porous media using the homogenization method. To investigate the deviation from the continuum description, the multiscale asymptotic expansions are developed up to the third order. The leading (zeroth) order leads to the Biot-Allard continuum description. The correction of first order induces nonlocal terms in the dynamic Dar...

A novel numerical method is presented for the simulation of flow in porous media, based on a mesoscopic-scale modelling using smoothed particle hydrodynamics. The method is demonstrated to provide encouraging results for both saturated and unsaturated porous media flow. The Darcy law is confirmed for low drift velocities in a saturated medium, while nonlinear behaviour is observed for higher va...

This paper investigates the influence of melting and thermo-diffusion effect on natural convection heat and mass transfer from vertical flat plate in a non-Newtonian fluid saturated non-Darcy porous medium. The wall and the ambient medium are maintained at constant but different levels of temperature and concentration such that the heat and mass transfer occurs from the wall to the medium. The ...

This paper investigates the influence of the effect of viscous dissipation and radiation on natural convection heat transfer from vertical flat plate in a non-Darcy porous media saturated with non-Newtonian fluid of variable viscosity. The wall and the ambient medium are maintained at constant but different levels of temperature. The Ostwald–de Waele power law model is used to characterize the ...

In this paper, we develop an a-priori error analysis of a new unified mixed finite element method for the coupling fluid flow with porous media in RN, N ∈ {2,3}, on isotropic meshes. Flows are governed by Stokes and Darcy equations, respectively, corresponding transmission conditions given mass conservation, balance normal forces, Beavers-Joseph-Saffman law. The approach utilizes modification p...

The double bracket dissipation approach is applied to the Vlasov kinetic equation. The Vlasov equation is then transformed by a Poisson map to moment dynamics, leading to a nonlocal form of Darcy’s law. Next, kinetic equations for particles with anisotropic interaction are considered and also cast into the double bracket dissipation form. The moment dynamics for these double bracket kinetic equ...

Green house gases emission associated with natural hazard of underground coal seam fire has been recognized as a worldwide problem leading to global warming threat. Therefore, in this paper a model to study underground coal fire is presented and the results will be devoted to strategic development of coal fire extinction technology within the framework of Sino-German Coal Fire Research Initiati...