Experimental and numerical analyses of double diffusive natural convection heated and cooled from opposing vertical walls with an initial condition of a vertically linear concentration gradient

Kamakura, Katsuyoshi; Ozoe, Hiroyuki

doi:10.1016/s0017-9310(05)80143-7

Cited by 30 publications

(14 citation statements)

References 12 publications

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“…Usually the temperature is presented at the heating wall but in some of the studies the heat flux density is imposed [6]. Several different methods for the calculations had been used like finite deference [5,7,8] finite volume [9][10] or finite element method [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Onset of Multilayer Convection in a Partially Heated Circular Cavity

Pouresfandiary

Hinata

Himeno

et al. 2008

Numerical Heat Transfer, Part A: Applications

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In this article, the time-dependent double-diffusive natural convection is investigated inside a circular cavity containing stably stratified brine solution. The container is heated partially through its sidewalls by a constant heat flux rate. By using Galerkin finite element method, numerical solutions to the Navier-Stokes equations under the Boussinesq flow assumptions have been systematically organized and developed. The evolutions of the stream function, temperature and concentration fields are presented in each evaluated case. Steep and sharp concentration variation in the interfaces together with wavy distribution of temperature within the layers is observed. At first a length scale, which is the vertical displacement of a heated element of the fluid, in a stably stratified solution under Neumann boundary condition is defined. Then a special form of Rayleigh number based on the length scale is obtained and named as universal Rayleigh number. A categorization based on single, two and multilayer formation is established. Temperature distribution along the cavity in the different cases shows a correlation between heat transfer coefficient and the rate of formation and degradation of the layers.

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Section: Introductionmentioning

confidence: 99%

Onset of Multilayer Convection in a Partially Heated Circular Cavity

Pouresfandiary

Hinata

Himeno

et al. 2008

Numerical Heat Transfer, Part A: Applications

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“…Nishumira et al [1] carried out a careful depiction of the mechanism of this oscillatory flow. For the crystal growth process, the double-diffusive convection is induced because of the non-uniform distribution of impurities [10] and the quality of the growing crystal is severely affected by the melt convection and any oscillations are disadvantageous.…”

Section: Introductionmentioning

confidence: 99%

Effect of optical properties on oscillatory hydromagnetic double-diffusive convection within semitransparent fluid

Borjini

Aïssia

Halouani³

et al. 2006

International Journal of Heat and Mass Transfer

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“…Their correlations of the Nusselt number and Sherwood number were in good agreement with those derived by Trevisan and Bejan [5] for a cavity subject to heat and mass fluxes along the vertical wall. Kamakura and Ozoe [7] examined the transient flow structure resulting from a solution with an initial linear concentration gradient and differentially heated from vertical walls. Costa [8] presented the results of heat and mass transfer through walls in a single cavity and a vertical stack of communicating cavities.…”

Section: Introductionmentioning

confidence: 99%