Time-dependent double-diffusive convection due to salt-stratified fluid layer with differential heating in an inclined cavity

Chen, Yau‐Ming; Liou, Jiun-Kae

doi:10.1016/0017-9310(96)00057-9

Cited by 19 publications

(15 citation statements)

References 24 publications

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“…Although the effects of double stratification of the medium on the heat and mass removal processes in a porous medium is important, such problems in the case of Newtonian viscous fluid have been studied by Lee and Hyun [7] and Chen and Liou [2]. They have reported that as solutal stratification increases, the local Nusselt number decreases.…”

Section: Introductionmentioning

confidence: 99%

Effect of double stratification on mixed convection heat and mass transfer from a vertical surface in a fluid‐saturated porous medium

Bansod

Jadhav

2010

Heat Trans. Asian Res.

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This paper presents the mixed convection heat and mass transfer near a vertical surface in a stratified porous medium using an integral method. The conservation equations that govern the problem are reduced to a system of coupled non-linear ordinary differential equations, which is then reduced into a single algebraic equation using exponential profiles for the temperature and concentration. The results for heat and mass transfer rates in terms of Nusselt and Sherwood number are presented for a wide range of governing parameters like the buoyancy ratio (N), Lewis number (Le), flow driving parameter (Ra / Pe), in addition to both thermal and solutal parameters (S and R). The results indicate that the stratification effects have considerable influence on both the heat and mass transfer rates.

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Section: Introductionmentioning

confidence: 99%

Effect of double stratification on mixed convection heat and mass transfer from a vertical surface in a fluid‐saturated porous medium

Bansod

Jadhav

2010

Heat Trans. Asian Res.

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“…Costa [12] studied numerically steady double-diffusive natural convection in a vertical stack of square enclosures. Chen and Liou [13] investigated the time-dependent double-diffusive convection of NaCl-H 2 O stably stratified salt fluid layer with lateral heating in an inclined cavity. Li et al [14] investigated numerically small-scale phenomena in double-diffusive convection flows at high Rayleigh number.…”

Section: Introductionmentioning

confidence: 99%

Effect of Buoyancy Ratio on Double-Diffusive Natural Convection in a Porous Rhombic Annulus

Moukalled

Darwish

2015

Heat Transfer Engineering

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This paper reports on the effect of buoyancy ratio due to both heat and mass transfer on natural convection in a porous enclosure between two isothermal concentric cylinders of rhombic cross sections. For negative values of the buoyancy ratio, buoyancy forces due to heat and mass transfer are in opposite directions (opposing mode), while for positive values they are in the same direction (aiding mode). Numerical results demonstrate that the flow strength increases as the absolute value of the buoyancy ratio increases. In the opposing mode, the eye of the vortex flow is located in the lower half of the enclosure, while in the aiding mode it is positioned in the upper part of the annulus. The average Nusselt and Sherwood number values increase as the absolute value of the buoyancy ratio moves away from 1, with values obtained in the aiding mode being higher than corresponding values achieved in the opposing mode. A comparison is also made between the computed averageNusselt and Sherwood number values and similar ones obtained in a circular annulus having the same inner and outer perimeters as the rhombic enclosure. Predictions indicate large percent difference in values, demonstrating that circular geometries cannot be exploited to accurately predict heat and mass transfer in complex geometries.

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“…In the problem of double diffusion, two physical configurations may be encountered. In the first, heat and mass gradients are imposed horizontally along the enclosure [2][3][4][5][6][7], while in the second, heat and mass gradients are imposed vertically [8][9][10]. In both cases, the gradients may be aiding or opposing each other's.…”

Section: Introductionmentioning

confidence: 99%

Effect of Heat and Mass Transfer Through Diffusive Walls on Three-Dimensional Double-Diffusive Natural Convection

Abidi¹,

Kolsi²,

Borjini³

et al. 2008

Numerical Heat Transfer, Part A: Applications

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A three-dimensional numerical study using vorticity-vector potential formulations based on the finite-volume method has been performed to investigate double-diffusive convection in a stack of cubic enclosures submitted to horizontal gradients of temperature and concentration. The flow is driven by conditions of constant temperature and concentration imposed along the two vertical side walls of each cubic enclosure, while the horizontal walls are diffusive in heat and mass. This numerical study is conducted for fixed Prandtl, Rayleigh, and Lewis numbers, Pr ¼ 10, Ra ¼ 10 5 and Le ¼ 10, buoyancy ratio N in the range [À2, 0], and for a range of heat and mass transfer diffusion coefficients. The results show that the effect of heat and mass diffusive walls differs between the case of thermally dominated flow and the compositionally dominated one. For thermally dominated flow, considering heat and mass diffusive walls results in a change from a structure with one inner core to a multicore structure and reduces the transverse velocity. On the other hand, for solutally dominated flow, an ''inverse transition'' from a multicell pattern to a unicellular one occurs, and the transverse velocity increases considerably.

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Time-dependent double-diffusive convection due to salt-stratified fluid layer with differential heating in an inclined cavity

Cited by 19 publications

References 24 publications

Effect of double stratification on mixed convection heat and mass transfer from a vertical surface in a fluid‐saturated porous medium

Effect of double stratification on mixed convection heat and mass transfer from a vertical surface in a fluid‐saturated porous medium

Effect of Buoyancy Ratio on Double-Diffusive Natural Convection in a Porous Rhombic Annulus

Effect of Heat and Mass Transfer Through Diffusive Walls on Three-Dimensional Double-Diffusive Natural Convection

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