Dynamics of Fluids in Porous Media, Teil 1

anisotropic assumed average velocity axis boundary conditions Cartesian coordinate system channel coefficient components compressibility confined aquifer considered const constant continuity equation coordinate system cross-section curve Darcy's law defined density derived described determine discussion equipotential example expression flow domain flow through porous flux force grad gradient Hence hodograph horizontal hydraulic conductivity impervious incompressible inhomogeneous Irmay isotropic isotropic medium K₁ K₂ Laplace equation layers linear liquid molecules motion equation Navier-Stokes equations Newtonian fluid obtain paragraph parameters partial differential equation particle permeability phreatic surface piezometric head pore space porosity porous medium porous medium model potential pressure principal directions relationship reservoir respect Reynolds number saturated shear stress soil solid matrix solution specific discharge steady flow stream function streamlines stress tensor tortuosity two-dimensional flow unit volume vector vertical viscosity void space ду дф дх