Natural convection flows adjacent to horizontal surfaces resulting from the combined buoyancy effects of thermal and mass diffusion

Similarity solutions for buoyancy induced flows in a saturated porous medium adjacent to impermeable horizontal surfaces

“…The problem of natural convection in the absence of a porous medium has been investigated by many workers and notably among them are Stewartson [1], Gill et al [2], Rotem and Claussen [3], Pera and Gebhart [4] and Blanc and Gebhart [5]. In the above investigations, similarity solutions are obtained using boundary layer approximations.…”

Influence of Fluctuating Surface Temperature and Concentration on Natural Convection Flow from a Vertical Flat Plate

“…(14) and (17) when x is large. Actually when the frequency of oscillation of the surface temperature and surface mass concentration is very high, the boundary layer response should be confined to a thin region adjacent to the surface.…”

“…Somers [10], Wilcox [11], and Gill et al [12] studied the effects of mass transfer on free convection. Similarity analysis of the natural convection flows adjacent to both vertical and horizontal surfaces which result from the combined buoyancy effects of thermal and mass diffusion was first investigated by Gebhart and Pera [13] and Pera and Gebhart [14]. The combined effect of buoyancy forces from thermal and mass diffusion on forced convection was studied by Chen et al [15].…”

“…intermediate frequencies we integrate the locally nonsimilar partial differential equations(14)--(17) subject to the boundary conditions (18) by using an implicit finite difference method. To begin with, the partial differential equations (14)--(17) are first converted into a system of first order equations in h. The resulting equations are expressed in finite difference form by approximating the functions and their derivatives in terms of central differences.…”

Axisymmetric natural convection-driven evaporation of water: Analysis and numerical solution

“…As regards theoretically derived correlations, Kadambi [7], Pera and Gebhart [8] and Tripathi and Sau [9] have derived Nu-Ra and Sh-Ra correlations for laminar natural convection past a semi-infinite horizontal surface -a geometry that permits a similarity solution. There appears to be only one point of agreement between the experimental data in Table 1 and theory: the theory gives 1/5 as the exponent for Ra in the Sh-Ra correlation, which is more or less the same as that given in [2,4].…”