Seepage equation and relative resistance scaling law considering high Reynolds number flow in porous media

Seepage and Thermal Effects in Porous Media

Burgers’ equation with high Reynolds number

Burgers’ equation, involving very high Reynolds numbers, is numerically solved by using a new approach based on the distributed approximating functional for representing spatial derivatives of the velocity field. For moderately large Reynolds numbers, this simple approach can provide very high accuracy while using a small number of grid points. In the case where the Reynolds number >10, the exa...

Effects of microstructure on flow properties of fibrous porous media at moderate Reynolds number.

In this study, effects of microstructure on the viscous permeability and Forchheimer coefficient of monodispersed fibers are investigated. The porous material is represented by a unit cell which is assumed to be repeated throughout the medium. Based on the orientation of the fibers in the space, fibrous media are divided into three categories: one-, two-, and three-directional (1D, 2D, and 3D) ...

Velocity structure functions, scaling, and transitions in high-Reynolds-number Couette-Taylor flow.

Flow between concentric cylinders with a rotating inner cylinder is studied for Reynolds numbers in the range 2x10(3)<R<10(6) (Taylor Reynolds numbers, 10 < R(lambda)< 290) for a system with radius ratio eta=0.724. Even at the highest Reynolds number studied, the energy spectra do not show power law scaling (i.e., there is no inertial range), and the dissipation length scale is surprisingly lar...

Finite size corrections to scaling in high Reynolds number turbulence.

We study analytically and numerically the corrections to scaling in turbulence which arise due to the finite ratio of the outer scale L of turbulence to the viscous scale η, i.e., they are due to finite size effects as anisotropic forcing or boundary conditions at large scales. We find that the deviations δζm from the classical Kolmogorov scaling ζm = m/3 of the velocity moments 〈|u(k)|m〉 ∝ km ...