Steady Water Flow with Interacting Point Source–Point Sink–Water Table in a Cylindrical Soil Domain

EXISTENCE OF A STEADY FLOW WITH A BOUNDED VORTEX IN AN UNBOUNDED DOMAIN

We prove the existence of steady 2-dimensional flows, containing a bounded vortex, and approaching a uniform flow at infinity. The data prescribed is the rearrangement class of the vorticity field. The corresponding stream function satisfies a semilinear elliptic partial differential equation. The result is proved by maximizing the kinetic energy over all flows whose vorticity fields are rearra...

existence of a steady flow with a bounded vortex in an unbounded domain

we prove the existence of steady 2-dimensional flows, containing a bounded vortex, and approaching a uniform flow at infinity. the data prescribed is the rearrangement class of the vorticity field. the corresponding stream function satisfies a semilinear elliptic partial differential equation. the result is proved by maximizing the kinetic energy over all flows whose vorticity fields are rearra...

Effect of nonuniform boundary conditions on steady flow in saturated homogenous cylindrical soil columns

9 10 11 12 13 14 15 16 17 18 Laboratory column experiments involving steady flow in homogeneous soil are often analyzed assuming that the flow is spatially uniform in any plane transverse to the longitudinal axis aligned with the column centerline. Axisymmetric steady flow in such a column was analyzed to determine the impact of radially nonuniform boundary conditions at the column entrance and...

One - dimensional , steady vertical flow in a layered soil profile

Vertical soil water flow is analyzed for steady-state conditions through stratified profiles. All steady-state conditions are considered including upward flow (evaporation) and downward flow (infiltration) for an arbitrary number of layers of different materials. An algorithm is developed utilizing both analytical and numerical techniques, but perhaps more importantly, the framework provides a ...

Steady Mixed Convection Flow of Water at 4◦C Along A Non-Isothermal Vertical Moving Plate with Transverse Magnetic Field