Experimental investigation of heat transfer through porous media in superfluid helium

Numerical Investigation of Thermal Counterflow of He II Past Cylinders

“…When dealing with porous materials, the interactions at the solid boundaries become predominant and an accurate description of the physics at the pore level would help to have an idea of the large scale governing equations. It has been demonstrated that for very low velocity values, i.e., when the mutual friction is negligible and the streamlines embrace the solid structure, the flow can be modeled by a Darcy-like problem [11,12]. When increasing slightly the normal fluid flow rate, the streamlines are deformed by the inertia effect [2] and, by analogy with classical fluids, we may expect a nonlinear deviation to Darcy's law known as the Forchheimer correction [13].…”