Oscillatory double-diffusive convection in a rectangular enclosure with combined horizontal temperature and concentration gradients

Nishimura, Tatsuo; Wakamatsu, Mikio; Morega, Alexandru M.

doi:10.1016/s0017-9310(97)00271-8

Cited by 117 publications

(54 citation statements)

References 21 publications

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“…The governing equations are then transformed into tridiagonal algebraic equations, which were solved in the Xand Y-directions for the concentration, temperature, vorticity, and the stream function. This method was found to be stable and gave results that are very close to the numerical results obtained by Nishimura et al [24] using the ® nite-element method.…”

Section: Numerical Algorithmsupporting

confidence: 82%

“…Figures 2a and 2b present comparisons for the streamlines, isotherms, concentration contours, and density contours of the present work at N = 0.8 (thermal-dominated¯ow) and N = 1:3 (compositionaldominated¯ow) with those reported by Nishimura et al [24]. Their results for the stream function showed an oscillatory behavior.…”

Section: Num Erical Validation Testssupporting

confidence: 68%

“…Their results for the stream function showed an oscillatory behavior. Table 1 presents a favorable comparison between the present numerical results for a period of oscillation for the stream function extrema at N = 1 and those obtained by Morega and Nishimura [25] using the spectral method and by Nishimura et al [24] using the ® nite element. These …”

Section: Num Erical Validation Testsmentioning

confidence: 56%

“…This problem represents the opposite case of the works of Nishimura et al [24] and Mamou et al [11], who considered opposing temperature and concentration gradients. In addition, the present problem allows for the presence of heat generation or absorption e ects.…”

Section: Nom Enclaturementioning

confidence: 95%

“…To check the accuracy of the numerical method employed for the solution of the problem under consideration, it was validated (after making the necessary modi® cations) with the problem of double-di usive convective¯ow in a vertical rectangular enclosure with opposing combined temperature and concentration gradients reported earlier by Nishimura et al [24]. Figures 2a and 2b present comparisons for the streamlines, isotherms, concentration contours, and density contours of the present work at N = 0.8 (thermal-dominated¯ow) and N = 1:3 (compositionaldominated¯ow) with those reported by Nishimura et al [24].…”

Section: Num Erical Validation Testsmentioning

confidence: 99%

See 4 more Smart Citations

Double-Diffusive Convection in a Porous Enclosure With Cooperating Temperature and Concentration Gradients and Heat Generation or Absorption Effects

Chamkha¹

2002

Numerical Heat Transfer, Part A: Applications

116

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The problem of unsteady, laminar double-diffusive convective ow of a binary gas mixture in a rectangular enclosure 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 nite-difference methodology is obtained. Representative results illustrating the effects of the inverse Darcy number, the heat generation or absorption coef cient, and the buoyancy ratio on the contour maps of the streamline, temperature, and concentration as well as the pro 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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Section: Numerical Algorithmsupporting

confidence: 82%

Section: Num Erical Validation Testssupporting

confidence: 68%

Section: Num Erical Validation Testsmentioning

confidence: 56%

Section: Nom Enclaturementioning

confidence: 95%

Section: Num Erical Validation Testsmentioning

confidence: 99%

See 3 more Smart Citations

Double-Diffusive Convection in a Porous Enclosure With Cooperating Temperature and Concentration Gradients and Heat Generation or Absorption Effects

Chamkha¹

2002

Numerical Heat Transfer, Part A: Applications

116

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Influence of Lewis number on double-diffusive convection in a square cavity filled with a binary gas

Nishimura

Morega

2000

Heat Trans. Asian Res.

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This paper considers double-diffusive convection in a square cavity filled with a binary gas, due to horizontal opposing temperature and concentration gradients. The effect of Lewis number was considered under the conditions of Prandtl number Pr = 1, buoyancy ratio N = 1, and thermal Rayleigh numbers Ra T = 10 4 and 10 5 . Numerical solutions are obtained by a Chebyshev collocation technique with high resolution. Depending on the Lewis number, three kinds of flow structures are identified: symmetric steady flow, asymmetric oscillatory flow, and symmetric oscillatory flow. Oscillatory flow occurs in the regime of thermal dominant flow, and leads to a periodic change between stable and unstable states in species stratification due to the thermosolutal interaction. © 2000 Scripta Technica, Heat Trans Asian Res, 30(1): [63][64][65][66][67][68][69][70][71][72][73][74][75] 2001

show abstract

Influence of Lewis number on double‐diffusive convection in a square cavity filled with binary gas

Nishimura

Morega

2002

Heat Trans. Asian Res.

Self Cite

View full text Add to dashboard Cite

This paper presents double-diffusive convection in a square cavity filled with binary gas, due to horizontal opposing temperature and concentration gradients. The effect of Lewis number was considered under the conditions of Prandtl number Pr = 1, buoyancy ratio N = 1, and thermal Rayleigh number Ra T = 10 4 and 10 5. Numerical solutions are obtained by a Chebyshev collocation technique with high resolution. Depending on the Lewis number, three kinds of flow structures are identified: symmetric steady flow, asymmetric oscillatory flow, and symmetric oscillatory flow. Oscillatory flow occurs in the regime of thermal dominant flow and it leads to a periodic change between stable and unstable states in species stratification due to the thermo-solutal interaction.

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Oscillatory double-diffusive convection in a rectangular enclosure with combined horizontal temperature and concentration gradients

Cited by 117 publications

References 21 publications

Double-Diffusive Convection in a Porous Enclosure With Cooperating Temperature and Concentration Gradients and Heat Generation or Absorption Effects

Double-Diffusive Convection in a Porous Enclosure With Cooperating Temperature and Concentration Gradients and Heat Generation or Absorption Effects

Influence of Lewis number on double-diffusive convection in a square cavity filled with a binary gas

Influence of Lewis number on double‐diffusive convection in a square cavity filled with binary gas

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