Power-Law Fluid Flows in Channels With a Permeable Wall

Combined Processes of Flow and Impregnation during the Moulding of Composite Articles

“…Substituting (12) into the discontinuity equation for the porous body: (13) we will obtain: (14) We will stress once again that this equation describes the pressure field of the fluid in the region of the impregnated body that lies outside the transition (boundary) layer in the porous body, and where the power law of filtration can be applied.…”

“…Furthermore, there are a whole series of studies in which the flow of fluid through a channel completely filled with porous material is examined [5][6][7][8]. In recent years, a whole series of publications devoted to the modelling of the flow of fluid through a channel partially filled with a porous material have appeared [9][10][11][12][13][14]. In the region of the flowing fluid, the flow was described by the Navier-Stokes equation, and in the porous layer, generally, Darcy's law or Forchheimer's law was used.…”

The Filling of a Mould Cavity with Simultaneous Impregnation of the Reinforcing Porous Layer

“…Here, purely shear flow of free liquid during filling of an empty flat cavity is examined. The length of the cavity is considerably greater than its height, and therefore, assuming that the pressure in the cavity p c does not depend on the transverse coordinate y, we will confine ourselves to a single equation of motion 13,17,18,[21][22][23][24][25] :…”

“…Furthermore, there is a large number of studies in which the flow of liquid through a channel entirely filled with porous material is examined [9][10][11][12] . In recent years, a whole series of publications have appeared that are devoted to the modelling of the flow of liquid through a channel partially filled with porous material [13][14][15][16][17] . In the region of the flowing liquid, the flow is described by the Navier-Stokes equation, while in the porous layer it is Darcy's law or Forchheimer's law that is generally used.…”

Non-Isothermal Moulding of Composite Products with Impregnation of the Porous Layer

“…In recent years there have been a whole series of publications devoted to the modelling of the flow of liquid through a channel partially filled with porous material [10][11][12][13][14] . In the region of the flowing liquid, the flow has been described by the Navier-Stokes equation, while in the porous layer Darcy's law or Forchheimer's law has generally been used.…”