The effect of a transition layer between a fluid and a porous medium: Shear flow in a channel

Transport in Porous Media

Volumn 78, Issue 3 SPEC. ISS., 2009, Pages 477-487

  Nield, D A ^a   Kuznetsov, A V ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b North Carolina State University   (United States)

Author keywords

Beavers Joseph condition; Channel; Shear flow; Transition layer

Indexed keywords

BEAVERS-JOSEPH CONDITION; BOUNDARY FRICTION; BRINKMAN MODELS; CHANNEL; CLEAR FLUID; CLOSED FORM; MOMENTUM EQUATION; POLYNOMIAL FUNCTIONS; POROUS MEDIUM; SOLID MATERIAL; THREE-LAYER; TRANSITION LAYER; TRANSITION LAYERS; TWO LAYER MODEL; VELOCITY PROFILES; VOLUME FLUX;

FLUIDS; POROUS MATERIALS; SHEAR FLOW;

TRANSPORT PROPERTIES;

CHANNEL FLOW; DARCY LAW; MODELING; POROUS MEDIUM; SHEAR FLOW; TRANSIENT FLOW;

CASTORIDAE;

EID: 67650644615     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-009-9342-0     Document Type: Article

References (13)

1. Abramowitz M., Stegun I.A.: Handbook of Mathematical Functions. Dover, New York (1984)
2. Beavers G.S., Joseph D.D.: Boundary conditions at a naturally permeable wall. J. Fluid Mech. 30, 197-207 (1967). doi: 10.1017/S0022112067001375
3. Chandesris M., Jamet D.: Boundary conditions at a planar fluid-porous interface for a Poisueille flow. Int. J. Heat Mass Transf. 49, 2137-2150 (2006). doi: 10.1016/j.ijheatmasstransfer.2005.12.010
4. Chandesris M., Jamet D.: Boundary conditions at a fluid-porous interface: An a priori estimation of the stress jump boundary conditions. Int. J. Heat Mass Transf. 50, 3422-3436 (2007). doi: 10.1016/ j.ijheatmasstransfer.2007.01.053
5. Goyeau B., Lhuillier D., Gobin D., Velarde M.G.: Momentum transport at a fluid-porous interface. Int. J. Heat Mass Transf. 46, 4071-4081 (2003). doi: 10.1016/S0017-9310(03)00241-2
6. Neale G., Nader W.: Practical significance of Brinkman's extension of Darcy's law: Coupled parallel flows within a channel and a bounding porous medium. Can. J. Chem. Eng. 52, 475-478 (1974)
7. Nield, D. A.: The Beavers-Joseph condition and related matters: A historical and critical note. Transp. Porous Media, to appear in a special issue (2008)
8. Nield D.A., Bejan A.: Convection in Porous Media, 3rd edn. Springer, New York (2006)
9. Ochoa-Tapia J.A., Whitaker S.: Momentum transfer at the boundary between a porous medium and a homogeneous fluid - I. Theoretical development. Int. J. Heat Mass Transf. 38, 2635-2646 (1995). doi: 10.1016/ 0017-9310(94)00346-W
10. Poulikakos D., Bejan A., Selimos B., Blake K.R.: High Rayleigh number convection in a fluid overlying a porous bed. Int. J. Heat Fluid Flow 7, 109-116 (1986). doi: 10.1016/0142-727X(86)90056-1
11. Vallée O., Soares M: Airy Functions and Applications to Physics. World Scientific, London (2004)
12. Wettlaufer J.S., Worster M.G., Huppert H.E.: Natural convection during solidification of an alloy from above with application to the evolution of sea ice. J. Fluid Mech. 344, 291-316 (1997). doi: 10.1017/ S0022112097006022
13. Worster M.G.: Convection in mushy layers. Annu. Rev. Fluid Mech. 29, 91-122 (1997). doi: 10.1146/annurev.fluid.29.1.91