Convective Flow Interaction and Heat Transfer Between Fluid and Porous Layers

Convective flow and heat transfer in composite systems of fluid and porous layers may be modeled by employing either a two-domain approach with slip conditions at the fluid/porous layer interface or a continuum approach. Both of these formulations have been used in the literature to study the onset of convection in horizontal layers of various configurations. Experimental and numerical results for heat transfer rates are, however, reported for only fluid-superposed porous layers heated from below. Flow visualization pictures show interesting effect of fluid layer height and porous matrix structure. Strong interaction between the overlying fluid layer and the porous bed is demonstrated even when the porous layer is densely packed and the Rayleigh number is low. Studies on volumetrically heated porous bed and vertical cavity are also reviewed.

[1]  E. Subramanian,et al.  Natural convection in rectangular enclosures partially filled with a porous medium , 1986 .

[2]  D. Joseph,et al.  Boundary conditions at a naturally permeable wall , 1967, Journal of Fluid Mechanics.

[3]  A. Bejan Convection Heat Transfer , 1984 .

[4]  N. Rudraiah Coupled Parallel Flows in a Channel and a Bounding Porous Medium of Finite Thickness , 1985 .

[5]  Geoffrey Ingram Taylor,et al.  A model for the boundary condition of a porous material. Part 1 , 1971, Journal of Fluid Mechanics.

[6]  W. O. Williams Constitutive equations for flow of an incompressible viscous fluid through a porous medium , 1978 .

[7]  S. Richardson,et al.  A model for the boundary condition of a porous material. Part 2 , 1971, Journal of Fluid Mechanics.

[8]  V. Prasad,et al.  Non-Darcy Natural Convection in Saturated Porous Media , 1991 .

[9]  Donald A. Nield,et al.  Onset of convection in a fluid layer overlying a layer of a porous medium , 1977, Journal of Fluid Mechanics.

[10]  J. Georgiadis,et al.  Prandtl Number Effect on Bénard Convection in Porous Media , 1986 .

[11]  F. Kulacki,et al.  Natural convection in porous media , 1985, Journal of Fluid Mechanics.

[12]  K. R. Blake,et al.  High Rayleigh number convection in a fluid overlaying a porous bed , 1986 .

[13]  Nishimura Tatsuo,et al.  Numerical analysis of natural convection in a rectangular enclosure horizontally divided into fluid and porous regions , 1986 .

[14]  Dimos Poulikakos,et al.  Forced convection in a duct partially filled with a porous material , 1987 .

[15]  Donald A. Nield,et al.  The boundary correction for the Rayleigh-Darcy problem: limitations of the Brinkman equation , 1983, Journal of Fluid Mechanics.

[16]  R. Viskanta,et al.  Natural Convection Flow and Heat Transfer Between a Fluid Layer and a Porous Layer Inside a Rectangular Enclosure , 1987 .

[17]  Mohammad E. Taslim,et al.  Thermal Instability of a Fluid-Saturated Porous Medium Bounded by Thin Fluid Layers , 1987 .

[18]  Vishwanath Prasad,et al.  Evaluation of correlations for stagnant thermal conductivity of liquid-saturated porous beds of spheres , 1989 .

[19]  U. Müller,et al.  Natural convection in saturated porous layers with internal heat sources , 1984 .

[20]  D. Poulikakos Buoyancy‐driven convection in a horizontal fluid layer extending over a porous substrate , 1986 .

[21]  Vishwanath Prasad,et al.  Natural Convection in Horizontal Porous Layers: Effects of Darcy and Prandtl Numbers , 1989 .

[22]  T. Lundgren,et al.  Slow flow through stationary random beds and suspensions of spheres , 1972, Journal of Fluid Mechanics.

[23]  E. Sparrow,et al.  Boundary condition at a porous surface which bounds a fluid flow , 1974 .

[24]  Ephraim M Sparrow,et al.  Experiments on Coupled Parallel Flows in a Channel and a Bounding Porous Medium , 1970 .

[25]  M. Taslim,et al.  Thermal Stability of Horizontally Superposed Porous and Fluid Layers , 1989 .

[26]  G. Lauriat,et al.  Non-darcian effects on natural convection in a vertical porous enclosure , 1989 .

[27]  P. Saffman On the Boundary Condition at the Surface of a Porous Medium , 1971 .

[28]  G. Lauriat,et al.  Natural Convection in a Vertical Porous Cavity: A Numerical Study for Brinkman-Extended Darcy Formulation , 1987 .

[29]  C. W. Somerton,et al.  On the Thermal Instability of Superposed Porous and Fluid Layers , 1982 .

[30]  I. P. Jones,et al.  Low Reynolds number flow past a porous spherical shell , 1973, Mathematical Proceedings of the Cambridge Philosophical Society.

[31]  C. F. Chen,et al.  Onset of Finger Convection in a Horizontal Porous Layer Underlying a Fluid Layer , 1988 .

[32]  Falin Chen,et al.  Experimental investigation of convective stability in a superposed fluid and porous layer when heated from below , 1989, Journal of Fluid Mechanics.

[33]  I. Catton,et al.  Prandtl Number Dependence of Natural Convection in Porous Media , 1987 .

[34]  G. Neale,et al.  Practical significance of brinkman's extension of darcy's law: Coupled parallel flows within a channel and a bounding porous medium , 1974 .

[35]  Kambiz Vafai,et al.  Analysis of flow and heat transfer at the interface region of a porous medium , 1987 .

[36]  D. Poulikakos THERMAL INSTABILITY IN A HORIZONTAL FLUID LAYER SUPERPOSED ON A HEAT-GENERATING POROUS BED , 1987 .

[37]  Vijay K. Dhir,et al.  Natural Convection Heat Transfer in Beds of Inductively Heated Particles , 1978 .

[38]  R. Viskanta,et al.  Natural convection in vertical enclosures containing simultaneously fluid and porous layers , 1988, Journal of Fluid Mechanics.

[39]  D. Poulikakos,et al.  Transient double‐diffusive convection experiments in a horizontal fluid layer extending over a bed of spheres , 1989 .