Abstract. In this paper, the Soret and Dufour effects on the steady, laminar mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a non-Darcy porous medium saturated with micropolar fluid are studied. The governing partial differential equations are transformed into ordinary differential equations. The local similarity solutions of the transformed dimensionle...

In the present work melting with thermal dispersion and radiation on non-Darcy, mixed convective heat transfer from an infinite vertical plate embedded in a saturated porous medium is studied. Both aiding and opposing flows are examined. Forchheimer extension for the flow equations in steady state is considered Similarity solution for the governing equations is obtained .The equations are numer...

We study a decoupling iterative algorithm based on domain decomposition for the time-dependent nonlinear Stokes–Darcy model, in which different time steps can be used flow region and porous medium. The coupled system is formulated as space-time interface problem condition mass conservation. then solved by nested iteration approach involves, at each Newton iteration, solution of linearized and, ...

Non-Darcy behavior is important for describing fluid flow in porous media in situations where high velocity occurs. A criterion to identify the beginning of non-Darcy flow is needed. Two types of criteria, the Reynolds number and the Forchheimer number, have been used in the past for identifying the beginning of non-Darcy flow. Because each of these criteria has different versions of definition...

magnetic field effect on unsteady natural convection heat transfer of cu–water nanofluid in a square porous cavity was studied numerically in here. at first, initial temprature of the cavity was and vertical walls were at temprature . suddenly the right wall's tamprature was changed to and the horizontal walls were adiabatic. the effective parameters in this study were ra , ha, and . which appe...

This work provides the derivation of a closed macroscopic model for immiscible two-phase, incompressible, Newtonian and isothermal creeping steady flow in rigid homogeneous porous medium without considering three-phase contact. The mass momentum upscaled equations are obtained from pore-scale Stokes equations, adopting two-domain approach where two fluid phases separated by an interface. averag...

There has been a surge of work on models for coupling surface-water with groundwater flows which is at its core the Stokes-Darcy problem. The resulting (Stokes-Darcy) fluid velocity is important because the flow transports contaminants. The analysis of models including the transport of contaminants has, however, focused on a quasi-static Stokes-Darcy model. Herein we consider the fully evolutio...

The infinite Darcy-Prandtl number model is an effective reduced model for describing convection in a fluid-saturated porous medium. It is well known that the deterministic model does not possess a unique invariant measure. In this work we study the dynamics of the infinite Darcy-Prandtl number model, under an additive stochastic forcing of its low modes. This is the so-called stochastic infinit...

In present work forced convection flow in a channel partly filled with a porous media under asymmetric heat flux boundary condition has been investigated. The porous material is distributed on the one wall. Darcy–Brinkman and LTNE model have been assumed in order to solve momentum and energy equations, respectively. Fully developed conditions are considered in order to solve velocity and the te...