Double-diffusive convection in a rectangle with cooperating horizontal gradients of temperature and concentration

doi:10.1016/0017-9310(90)90017-O

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Double-diffusive convection in a rectangle with cooperating horizontal gradients of temperature and concentration

Journal Article•DOI•

Double-diffusive convection in a rectangle with cooperating horizontal gradients of temperature and concentration

Jae Min Hyun¹, Jin Wook Lee¹•Institutions (1)

KAIST¹

01 Aug 1990-International Journal of Heat and Mass Transfer (Pergamon)-Vol. 33, Iss: 8, pp 1605-1617

TL;DR: In this article, the authors provided comprehensive numerical solutions to the full, time-dependent Navier-Stokes equations at large thermal (Rt) and solutal (Rs) Rayleigh numbers.

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About: This article is published in International Journal of Heat and Mass Transfer.The article was published on 1990-08-01. It has received 76 citations till now. The article focuses on the topics: Double diffusive convection & Nusselt number.

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Citations

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Journal Article•DOI•

Numerical study of double-diffusive natural convection in a square cavity

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C. Béghein¹, Fariborz Haghighat², F. Allard¹•Institutions (2)

Institut national des sciences Appliquées de Lyon¹, Concordia University²

01 Apr 1992-International Journal of Heat and Mass Transfer

TL;DR: In this article, the influence of buoyancy force on heat or mass transfer rate was investigated in a stable state thermosolutal convection in a square cavity filled with air, submitted to horizontal temperature and concentration gradient.

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229 citations

Journal Article•DOI•

Hydromagnetic double-diffusive convection in a rectangular enclosure with opposing temperature and concentration gradients

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Ali J. Chamkha¹, Hameed Al-Naser¹•Institutions (1)

Kuwait University¹

01 Jun 2002-International Journal of Heat and Mass Transfer

TL;DR: In this paper, the authors used the finite difference method to predict the characteristics of hydromagnetic double-diffusive convective flow of a binary gas mixture in a rectangular enclosure with the upper and lower walls being insulated.

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110 citations

Cites result from "Double-diffusive convection in a re..."

...Other experimental studies dealing with thermosolutal convection in rectangular enclosures were reported by Ostrach et al. [19] and Lee et al. [13]....
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...Lee and Hyun [14] and Hyun and Lee [10] reported numerical solutions for unsteady double-diffusive convection in a rectangular enclosure with aiding and opposing temperature and concentration gradients that were in good agreement with reported experimental results....
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Journal Article•DOI•

Double-diffusive convection in a porous enclosure with cooperating temperature and concentration gradients and heat generation or absorption effects

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Ali J. Chamkha¹•Institutions (1)

Kuwait University¹

01 Jan 2002-Numerical Heat Transfer Part A-applications

TL;DR: In this article, the authors considered the problem of unsteady, laminar double-diffusive convective flow of a binary gas mixture in a rectangular enclosure with a uniform porous medium.

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Abstract: The problem of unsteady, laminar double-diffusive convective e ow of a binary gas mixture in a rectangular enclosure e lled with a uniform porous medium is considered. A temperature-dependent heat source or sink is assumed to exist within the enclosure boundaries. Transverse cooperating gradients of heat and mass are applied on the two opposing vertical walls of the enclosure while the other two horizontal walls are adiabatic and impermeable to mass transfer. A numerical solution based on the e nite-difference methodology is obtained. Representative results illustrating the effects of the inverse Darcy number, the heat generation or absorption coefe cient, and the buoyancy ratio on the contour maps of the streamline, temperature, and concentration as well as the proe les of velocity, temperature, and concentration at the midsection of the enclosure are reported. In addition, results for the average Nusselt and Sherwood numbers are presented in tabulated form and discussed for various parametric conditions.

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100 citations

Cites background from "Double-diffusive convection in a re..."

...J. W. Lee and J. M. Hyun, Double-Di usive Convection in a Rectangle with Opposing Horizontal and Concentration Gradients, Int....
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...J. M. Hyun and J. W. Lee, Double-Di usive Convection in a Rectangle with Cooperating Horizontal Gradients of Temperature and Concentration Gradients, Int....
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...Lee and Hyun [4] and Hyun and Lee [5] have reported numerical solutions for double-di usive convection in a rectangular enclosure with aiding and opposing temperature and concentration gradients....
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...Lee and Hyun [4] and Hyun and Lee [5] have reported numerical solutions for double-di usive convection in a rectangular enclosure with aiding and opposing temperature and concentration gradients....
[...]

Journal Article•DOI•

Double-diffusive convection in an inclined porous enclosure with opposing temperature and concentration gradients

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Ali J. Chamkha¹, Hameed Al-Naser¹•Institutions (1)

Kuwait University¹

01 Mar 2001-International Journal of Thermal Sciences

TL;DR: In this article, the authors considered the problem of double-diffusive convective flow in an inclined rectangular enclosure filled with a uniform porous medium and obtained a numerical solution based on the finite-difference methodology.

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99 citations

Cites result from "Double-diffusive convection in a re..."

...[8] Lee J.W., Hyun J.M., Double-diffusive convection in a rectangle with opposing horizontal and concentration gradients, Int....
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...Other experimental studies dealing with thermo-solutal or double-diffusive convection in rectangular enclosures were reported by Ostrach et al. [6] and Lee et al. [7]....
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...[7] Lee J., Hyun M.T., Kim K.W., Natural convection in confined fluids with combined horizontal temperature and concentration gradients, Int....
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...[9] Hyun J.M., Lee J.W., Double-diffusive convection in a rectangle with cooperating horizontal gradients of temperature and concentration gradients, Int....
[...]
...Lee and Hyun [8] and Hyun and Lee [9] have reported numerical solutions for unsteady double-diffusive convection in a rectangular enclosure with aiding and opposing temperature and concentration gradients which were in good agreement with reported experimental results....
[...]

Journal Article•DOI•

Double diffusive convection in a vertical rectangular cavity

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Kassem Ghorayeb, Abdelkader Mojtabi

01 Aug 1997-Physics of Fluids

TL;DR: In this article, the authors study the onset of double diffusive convection in vertical enclosures with equal and opposing buoyancy forces due to horizontal thermal and concentration gradients (in the case GrS/GrT=−1, where GrS and GrT are, respectively, the solutal and thermal Grashof numbers).

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Abstract: In the present work, we study the onset of double diffusive convection in vertical enclosures with equal and opposing buoyancy forces due to horizontal thermal and concentration gradients (in the case GrS/GrT=−1, where GrS and GrT are, respectively, the solutal and thermal Grashof numbers). We demonstrate that the equilibrium solution is linearly stable until the parameter RaT|Le−1| reaches a critical value, which depends on the aspect ratio of the cell, A. For the square cavity we find a critical value of Rac|Le−1|=17 174 while previous numerical results give a value close to 6000. When A increases, the stability parameter decreases regularly to reach the value 6509, and the wave number reaches a value kc=2.53, for A→∞. These theoretical results are in good agreement with our direct simulation. We numerically verify that the onset of double diffusive convection corresponds to a transcritical bifurcation point. The subcritical solutions are strong attractors, which explains that authors who have worked pr...

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93 citations

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References

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Journal Article•DOI•

Experimental study of natural convection in shallow enclosures with horizontal temperature and concentration gradients

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Yasuhiro Kamotani¹, L. Wang¹, Simon Ostrach¹, H. D. Jiang¹•Institutions (1)

Case Western Reserve University¹

01 Jan 1985-International Journal of Heat and Mass Transfer

TL;DR: In this article, a low aspect-ratio rectangular enclosures with combined horizontal temperature and concentration gradients is studied experimentally. But the authors did not consider an electrochemical system to impose the concentration gradient.

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147 citations

Natural convection with combined driving forces

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S. Ostrach¹•Institutions (1)

Case Western Reserve University¹

01 Jan 1980

TL;DR: In this article, the problem of free and natural convection with combined driving forces is considered in general and all possible configurations are identified, and dimensionless parameters are discussed in order to help categorize the various problems.

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Abstract: The problem of free and natural convection with combined driving forces is considered in general and all possible configurations are identified. Dimensionless parameters are discussed in order to help categorize the various problems, and existing work is critically evaluated. Four distinct cases are considered for conventional convection and for the situation when the body force and the density gradient are parallel but opposed. Considerable emphasis is given to unstable convection in horizontal layers.

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135 citations

Journal Article•DOI•

Double-diffusive convection in a rectangle with opposing horizontal temperature and concentration gradients

[...]

Jin Wook Lee¹, Jae Min Hyun¹•Institutions (1)

KAIST¹

01 Aug 1990-International Journal of Heat and Mass Transfer

TL;DR: In this article, a numerical study is made of double-diffusive convection in a rectangular cavity with combined horizontal temperature and concentration gradients, where boundary conditions at the vertical side walls are imposed in such a way that the thermal and solutal buoyancy effects are counteracting, resulting in an opposing gradient flow configuration.

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84 citations

Journal Article•DOI•

Numerical solutions for transient natural convection in a square cavity with different sidewall temperatures

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Jae Min Hyun¹, Jin Wook Lee¹•Institutions (1)

KAIST¹

01 Jun 1989-International Journal of Heat and Fluid Flow

TL;DR: In this article, a comprehensive numerical study was made of the transient natural convection in a square cavity at large Rayleigh numbers, where the flow was initiated by instantaneously raising and lowering the temperatures on the opposing sidewalls.

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80 citations

Journal Article•DOI•

Natural convection in confined fluids with combined horizontal temperature and concentration gradients

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Jung Shin Lee¹, M.T. Hyun¹, K.W. Kim¹•Institutions (1)

Yonsei University¹

01 Oct 1988-International Journal of Heat and Mass Transfer

TL;DR: In this paper, steady-state natural convection of a saltwater solution due to the combined horizontal temperature and concentration gradients is studied experimentally in rectangular enclosures of aspect ratio, 0.2 and 2.0.

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77 citations