Heat and fluid flow in a rectangular microchannel filled with a porous medium

Scaling effects for flow in micro-channels: Variable property, viscous heating, velocity slip, and temperature jump

“…According to Fig. 4-a, changes in Nu due to a change in Pr are almost identical to what reported for constant property; see for example [24][25][26]. On the other hand, as Fig.…”

Theoretical investigation of steady isothermal slip flow in a curved microchannel with a rectangular cross-section and constant radii of wall curvature

“…Fully developed forced convection in a rectangular microchannel filled with a porous medium or without it was investigated analytically [22], where a double series solution was obtained for the velocity field. The non-slip flow in the curved microchannels with different curvature radii and geometrical dimensions was studied experimentally and numerically in [23].…”

Enhanced energy conversion as a result of fluid-solid interaction in micro- and nanoscale

“…In this short communication, let us mention only reexamination of the Poiseuille-Knudsen-Reynolds equation in terms of a sum of three contributions: the bulk pressure driven flow and two mobility surface forces, mainly: the Knudsen surface slip driven flow and the Reynolds surface thermally driven flow. A peculiar difficulty of the modeling of flow in porous media arises often when there is a need of applying some extension of Darcy equation, like for instance, the Brinkmann-Darcy--Forchheimer equation (Hooman, 2008). Treating that a laboratory nanopipe is fully equivalent to a single porous channel and looking for common effects of the bulk and surface motion, one may consider the following momentum flux integral in any cross section of a porous medium oriented by the tangential component of the unit vector n tan bulk section…”