Natural-Convective Heat Transfer in a Square Cavity With Time-Varying Side-Wall Temperature

Kalabin, E. V.; Kanashina, M. V.; Зубков, П. Т.

doi:10.1080/10407780590896853

Cited by 52 publications

(26 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Later, they subsequently studied the similar system for Pr = 1 and obtained the similar results (Wang et al 2007b). On the other hand, Wang et al (2008) studied the similar geometrical system as that by Kalabin et al (2005), but for porous layer with positive/negative inclined angles. Even for porous layer, they obtained the similar characteristics of uni-directional heat flux due to the time-dependent dominance of the convection and the conduction.…”

mentioning

confidence: 95%

“…This is the motivation of the present study. By the way, Kalabin et al (2005) made a detailed computation up to inclined angle ϕ = 89 • , i.e., almost horizontal state of the sinusoidal oscillating temperature. However, for the natural convection in a square enclosure heated from below (ϕ = 90 • ), the preferred mode is multiple roll cells whose axes are horizontal and parallel to the short side axis of the rectangular box.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Numerical Study of Natural Convection Heat Transfer in an Inclined Porous Cavity with Time-Periodic Boundary Conditions

Wang

Zeng

et al. 2008

Transp Porous Med

View full text Add to dashboard Cite

Kalabin et al. (Numer. Heat Transfer A 47, 621-631, 2005) studied the unsteady natural convection for the sinusoidal oscillating wall temperature on one side wall and constant average temperature on the opposing side wall. The present article is on the unsteady natural convective heat transfer in an inclined porous cavity with similar temperature boundary conditions as those of Kalabin et al. The inclined angle ϕ of the cavity is varied from 0 • to 80 • . The flow field is modeled with the Brinkman-extended Darcy model. The combined effects of inclination angle of the enclosure and oscillation frequency of wall temperature are studied for Ra * = 10 3 , Da = 10 −3 , ε = 0.6, and Pr=1. Some results are also obtained with the Darcy-Brinkman-Forchheimer model and Darcy's law and are compared with the present Brinkman-extended Darcy model. The maximal heat transfer rate is attained at the oscillating frequency f = 46.7π and the inclined angle ϕ = 42.2 • .

show abstract

mentioning

confidence: 95%

mentioning

confidence: 99%

Numerical Study of Natural Convection Heat Transfer in an Inclined Porous Cavity with Time-Periodic Boundary Conditions

Wang

Zeng

et al. 2008

Transp Porous Med

View full text Add to dashboard Cite

show abstract

“…The responses of the confined fluid, when the temperature or the heat flux specified at one of the vertical walls varies periodically, were of concern in most of these studies. An extension to natural convection of fluid in an inclined cavity with a sinusoidal wall temperature on one side wall and a constant temperature on the opposite side wall was reported by Kalabin et al [14,15]. The case of an inclined, porousfilled cavity subjected to the same boundary conditions was conducted recently by Wang et al [13].…”

mentioning

confidence: 89%

Natural convection and wall condensation or evaporation in humid air-filled cavities subjected to wall temperature variations

Sun¹,

Lauriat²,

Nicolás³

2011

International Journal of Thermal Sciences

View full text Add to dashboard Cite

Heat and mass transfer by natural convection coupled to wall surface condensation or evaporation in a two-dimensional cavity subjected to uniform, but time-dependent wall temperatures is investigated numerically. At initial state, the cavity is filled with quiescent humid air at uniform temperature and density. By decreasing the wall temperature, condensation occurs at the four wall surfaces until an equilibrium thermodynamic state is reached. The walls are then Ra m solutal Rayleigh number,Sh local Sherwood number (Eq. 36)Greeks β m solutal coefficient of volumetric expansion

show abstract

“…They observed that the transfer increases when the amplitude of the temperature increases and decreases with the number of Hartmann. Kalabin et al [8] have studied the convective transfer in a square inclined cavity subjected to a variable temperature on its right vertical wall. They found that the heat transfer was maximal for an inclination equal to 54 degrees and for a non-dimensional frequency f = 20.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of Natural Convection in a Porous Square Enclosure with Sinusoidally Varying Temperature Profile on the Bottom Wall

Ali¹,

Dia²,

Khayal³

et al. 2017

OJFD

View full text Add to dashboard Cite

This current study focuses on the simulation of natural convection in square cavity filled with a porous medium considered homogenous, isotropic and saturated by a Newtonian fluid obeying the law of Darcy and the hypothesis of Boussinesq. The lower horizontal wall of the enclosure is subjected to a temperature varying sinusoidally with the space while the upper horizontal wall is maintained adiabatic. The vertical walls are kept cold isotherm. In order to generalize the results, all governing equations are put into dimensionless form, discretized by the Finite Difference Method and solved by the relaxed Gauss Seidel (SUR) Algorithm. A code has been proposed in Fortran 95, in order to solve numerically the equations of the problem. The study parameters are the Rayleigh-Darcy number (Ra) and the amplitude (A r ) of the hot wall temperature. The effects of the Rayleigh-Darcy number and amplitude on the dynamic and thermal field, the horizontal velocity distribution and the mean horizontal temperature distribution (y = 0.5) were presented and discussed. It emerges from this study that the increases of the amplitude and Rayleigh-Darcy number intensify the flow and the global transfer of heat in our physical domain.

show abstract

Natural-Convective Heat Transfer in a Square Cavity With Time-Varying Side-Wall Temperature

Cited by 52 publications

References 3 publications

Numerical Study of Natural Convection Heat Transfer in an Inclined Porous Cavity with Time-Periodic Boundary Conditions

Numerical Study of Natural Convection Heat Transfer in an Inclined Porous Cavity with Time-Periodic Boundary Conditions

Natural convection and wall condensation or evaporation in humid air-filled cavities subjected to wall temperature variations

Numerical Study of Natural Convection in a Porous Square Enclosure with Sinusoidally Varying Temperature Profile on the Bottom Wall

Contact Info

Product

Resources

About