The methods employed by Martin [1971] and Chandna et al. [1982] to steady plane flows have been applied to the plane viscous flows in a porous medium using the Darcy - Brinkman - Lapwood equation. Various flows and ...

This paper analyses the free convection flow of a viscous incompressible fluid past an infinite vertical accelerated plate embedded in porous medium with constant heat flux in the presence of transverse magnetic field. ...

In computational fluid dynamics, there is a high interest in modeling flow diverter stents as porous media due to its reduced computational loads. One of the main difficulties of such models is proper parameter setup. Most ...

We consider the porous medium equation in an exterior two-dimensional domain that excludes a hole, with zero Dirichlet data on its boundary. Gilding and Goncerzewicz proved in 2007 that in the far-field scale, which is the ...

The problem of non-darcian transient film condensation adjacent to a vertical flat plate embedded in a porous medium has been considered. The governing equation for the boundary layer thickness was obtained by an integral ...

Let us consider the problem u(t)(x, t) = Delta u(m)(x, t) for (x,t) epsilon D x [0, +infinity), u(x, 0)= u(0)(x) for x epsilon D, and (partial derivative u(m)/partial derivative n)(x, t) = h(x, t) for (x, t) epsilon partial ...